Skip to main content

Part of the book series: Progress in Systems and Control Theory ((PSCT,volume 12))

  • 409 Accesses

Abstract

It is a common experience that celebrations constitute a break in the usual commitments of daily life, during which the mind is led to indulge over the developments of the past. This especially applies to me now, at the beginning of these few lines written for the 65th birthday of Professor Antonio Ruberti. In the far 1970, when I was working at the laurea thesis in Electrical Engineering at the Politecnico di Milano, the name of Professor Ruberti was already associated with the forward line of research activity in systems and control, an area I discovered thanks to the classes given at the Politecnico by Professor Emanuele Biondi and Professor Guido Guardabassi. To my young mind of those days, automaticaworld appeared as a spring of genuine science in a paraphernalia of engineering techniques. The thesis subject was evolving around the stability and structural properties of linear systems with periodically varying coefficients. This was my first contact with the realm of PSICO (Periodic Sistems Identification, Control and Optimization), a contact which had to prolong in the decades to come.

A stroll in literature on periodic systems identification, control and optimization over more than 20 years

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

Structural properties and canonical decomposition

  • Bittanti S., Deterministic and stochastic linear periodic systems,in Time Series and Linear Systems, S. Bittanti ed. Springer-Verlag, Lecture Notes in Control and Information Sciences, Vol. 86, 1986, 141–182.

    Google Scholar 

  • Bittanti S. and P. Bolzern, Can the Kalman canonical decomposition be performed for a discrete-time linear periodic system?, 1st Latin American Conference on Automatica, Campina Grande, Brasil, 1984, 449–453.

    Google Scholar 

  • Bittanti S. and P. Bolzern, Canonical decomposition of discrete-time linear systems, 23th Conference on Decision and Control, Las Vegas, 1984, 1984, 1737, 1738.

    Google Scholar 

  • Bittanti S. and P. Bolzern, Four equivalent notions of stabilizability of periodic linear systems, 3rd American Control Conference, San Diego, 1984, 1321–1323.

    Google Scholar 

  • Bittanti S. and P. Bolzern, Reachability and controllability of discrete-time linear systems, IEEE Transactions on Automatic Control, 30, 1985, 399–491.

    Article  Google Scholar 

  • Bittanti S. and P. Bolzern, Stabilizability and detectability of linear periodic systems, Systems and Control Letters, 6, 1985,141–145, plus Addendum, Systems and Control Letters, 7, 1985, 73.

    Google Scholar 

  • Bittanti S. and P. Bolzern, On the structure theory of discrete-time linear systems, International Journal of Systems Sciences, 17, 1986, 33–47.

    Article  Google Scholar 

  • Bittanti S., P. Colaneri and G. De Nicolao, Discrete-time periodic systems: a note on the reachability and controllability interval legth, Systems and Control Letters, 8, 1986, 75–78.

    Article  Google Scholar 

  • Bittanti S., P. Colaneri and G. Guardabassi, H and K-controllability of linear periodic systems, 22nd Conference on Decision and Control, S. Antonio, 1983, 1376–1379.

    Google Scholar 

  • Bittanti S., G. Guardabassi, C. Maffezzoni, and L. Silverman, Periodic systems: controllability and the matrix Riccati equation, SIAM Journal on Control and Optimization, 16, 1978, 37–40.

    Article  Google Scholar 

  • Bolzern P., Criteria for reachability, controllability and stabilizability of discrete-time linear periodic systems, 5th Polish-English Seminar on Real-Time Process Control, Radzjejovice, 1986, 69–83.

    Google Scholar 

  • Brunovsky R.W., Controllability and linear closed loop controls in linear periodic systems, Journal of Differential Equations, 6, 296–313, 1969.

    Google Scholar 

  • D’Alessandro P., A. Isidori and A. Ruberti, A new approach to the theory of canonical decomposition of linear dynamical systems, SIAM J. Control, 11, 1, 1973, 143–158.

    Google Scholar 

  • Grasselli O.M., A canonical decomposition of linear periodic disrete-time systems, International Journal of Control, 40, 201–214, 1984.

    Article  Google Scholar 

  • Grasselli O.M. and S. Longhi, Sottospazi invarianti controllati e sottospazi di controllability’ per sister lineari periodici a tempo discrete, Int. Rep. 2/85, University di Ancona, 1985.

    Google Scholar 

  • Kalman R.E., Theory of regulators for linear plants, in R.E. Kalman, P.L. Falb and M.A. Arbib: Topics in Mathematical System Theory, McGraw Hill, 1969.

    Google Scholar 

Periodic Riccati Equation and Periodic Lyapunov Equation

  • Bekir E. and R.S. Bucy, Periodic equilibria for matrix Riccati equations, Stochastics, 2, 1976, 1–104.

    Article  Google Scholar 

  • Bittanti S., The Riccati equation in Control, Systems, and Signals, Lecture Notes of the IEEE/IFAC/SIAM Workshop on The Riccati Equation in Control, Systems, and Signals, Como; Pitagora Editrice, 1989.

    Google Scholar 

  • Bittanti S., P. Bolzern and P. Colaneri, The extended periodic Lyapunov lemma, Automatica, 5, 1985, 603–605.

    Article  Google Scholar 

  • Bittanti S., P. Colaneri and G. De Nicolao, The periodic Riccati equation: existence of a periodic positive semidefinite solution, 26th Conference on Decision and Control, Los Angeles, 1987, 293–294.

    Google Scholar 

  • Bittanti S., P. Colaneri and G. De Nicolao, Two techniques for the solution of the discrete-time periodic Riccati equation, in Linear Algebra in Signals, Systems and Control, B.N. Datta, C.R. Johnson, M.A. Kaashoek, R.J. Plemmons, E.D. Sontag eds., SIAM Publications, 315–331, 1988.

    Google Scholar 

  • Bittanti S., P. Colaneri and G. De Nicolao, The difference periodic Riccati equation for the periodic prediction problem, IEEE Transactions on Automatic Control, AC — 33, 1988, 706 — 712.

    Google Scholar 

  • Bittanti S., P. Colaneri and G. De Nicolao A note on the maximal solution of the periodic Riccati equationIEEE Transactions on Automatic Control, 34, 12, 1989, 1316–1319.

    Google Scholar 

  • Bittanti S., P. Colaneri and G. De Nicolao, An algebraic Riccati equation for the discrete-time periodic prediction problem, Systems and Control Letters, 14, 141–182, 1990.

    Google Scholar 

  • Bittanti S., P. Colaneri and G. De Nicolao, The periodic Riccati equation, in The Riccati Equation, S. Bittanti, A.J. Laub, J.C. Willems Eds., Springer-Verlag, 1991.

    Google Scholar 

  • Bittanti S., P. Colaneri and G. Guardabassi, Analysis of the periodic Lyapunov and Riccati eqaution via canonical decomposition, SIAM Journal on Control and Optimization, 24, 6, 1986, 1138–1149.

    Article  Google Scholar 

  • Bittanti S., P. Colaneri and G. Guardabassi, Periodic solutions of periodic Ric- cati equations, IEEE Transactions on Automatic Control, 29, 7, 1984, 665–667.

    Article  Google Scholar 

  • Bolzern P. and P. Colaneri, Existence and uniqueness conditions for periodic solutions of the discrete-time periodic Lyapunov equation, 25th Conference on Decision and Control, Athens, 1986, 1439–1443.

    Google Scholar 

  • Bolzern P. and P. Colaneri, The periodic Lyapunov equation, SIAM Journal on Matrix Analysis and Applications, 9, 4, 1988, 499–512.

    Article  Google Scholar 

  • Bucy R.S., Structural stability for the Riccati equation,SIAM Journal on Control, 13, 4, 1975, 749–761.

    Google Scholar 

  • Da Prato G., Periodic solutions of infinite dimensional Riccati equations,Rendiconti Accademia Nazionale dei Lincei, 1984.

    Google Scholar 

  • de Souza C.E., Riccati di f ferential equation in optimal filtering of periodic nonstabilizable systems,International Journal of Control, 46, 4, 1987, 1235–1250.

    Google Scholar 

  • de Souza C.E., Existence conditions and properties for the maximal periodic solution of periodic Riccati difference equations, International Journal of Control, 50, 1989, 731–742.

    Article  Google Scholar 

  • de Souza C.E., Periodic strong solution for the optimal filtering problem of linear discrete-time periodic systems, IEEE Transactions on Automatic Control, 36, 3, 1991, 333–338.

    Article  Google Scholar 

  • de Souza C.E. and G.C. Goodwin, Periodic Solutions of matrix Riccati equation in optimal filtering of nonstabilizable periodic systems, IFAC World Congress, Munich, 1990, 9. 249–9. 254.

    Google Scholar 

  • Emre E. and G. Knowles, A Newton-like approximation algoritmh for the steady-state solution of the Riccati equation for time-varying, Proceedings of the International Symposium MTNS- 85, Stockholm, 1985.

    Google Scholar 

  • Hernandez V. and L. Jodar, Boundary problems and periodic Riccati equations, IEEE Transactions on Automatic Control, 11, 1985, 1131–1133.

    Article  Google Scholar 

  • Hewer G.A., Periodicity, delectability and the matrix Riccati equation,SIAM Journal of Control, 13, 6, 1235–1251, 1975.

    Google Scholar 

  • Kano H. and T. Nishimura, Periodic solutions of matrix Riccati equations with detectability and stabilizability, International Juornal of Control, 29, 1979, 47 1487.

    Google Scholar 

  • Kano H. and T. Nishimura, Positive-definite periodic solutions of matrix Riccati equations in continuous time,International Symposium MTNS-87.

    Google Scholar 

  • Nishimura T and H. Kano, Periodic strong solutions of periodically time-varying matrix Riccati equations,International Journal of Control, 49, 193–205, 1989.

    Google Scholar 

  • Shayman M.A., Varieties of invariant subspaces and the algebraic Riccati equation, Harvard University, Thesis, 1980.

    Google Scholar 

  • Shayman M.A., On the phase portrait of the matrix Riccati equation arising from the periodic control problem,SIAM Journal on Control and Optimization, 23, 1985, 717–751.

    Google Scholar 

  • Speyer J.L., Periodic Riccati di f ferential equation and Periodic regulator,26th Conference on Decision and Control, Los Angeles, 1987, 288–292.

    Google Scholar 

  • Speyer J. L., The Riccati di f ferential equation and the accessory problem in the calculus of variation, in The Riccati equation in Control, Systems, and Signals, S. Bittanti ed., Pitagora Editrice, 1989, 2–8.

    Google Scholar 

Identification, Signal Processing and Time Series Analysis

  • Bittanti S., Periodic predictors for cyclostationary processes, in Modelling, Robustness and Sensitivity Reduction in Control Systems, R. Curtain Ed., Springer-Verlag, 1987, 239–249.

    Google Scholar 

  • Bittanti S., P. Bolzern, G. De Nicolao, L. Piroddi and D. Purassanta, A minimum prediction error algorithm for estimation of periodic ARMA models, European Control Conference, Grenoble, 1991, 1200–1203.

    Google Scholar 

  • Bittanti S. and G. De Nicolao, Periodic ARMA models: Optimal prediction and minimum phase condition. 11th IFAC World Congress, Tallin, 1990, 96–111.

    Google Scholar 

  • Bittanti S. and G. Guardabassi, Optimal cycling for parameter identification, 4th IFAC Symposium on Identification and System Parameter Estimation, Tblisi, 3, 1976, 590–603.

    Google Scholar 

  • Gardner W.A., Characterization of cyclostationary random processes,IEEE Transactions on Information Theory, 21, 1, 1975, 4–14.

    Google Scholar 

  • Gardner W. A:, Exploitation of spectral redundancy in cyclostationary signals, IEEE Signal Processing Magazine, 8, 2, 1991, 14–37.

    Article  Google Scholar 

  • Gardner W.A., The spectral correlation theory of cyclostationary time series,Signal Processing, 11, 1986, 13–36.

    Google Scholar 

  • Miamee A.G. and H. Salehi, On the prediction of periodically correlated stochastic processes, in Multivariate Analysis, V.P.R. Krishnaiah ed., North Holland, 1980, 167–179.

    Google Scholar 

  • Pagano M., Periodic and multiple autoregression,Annals of Statistics, 6, 1978, 1310–1317.

    Google Scholar 

  • Vecchia A.V., Maximum likelihood estimation for periodic autoregressive moving average models,Technometrics, 27, 4, 1085, 375–384.

    Google Scholar 

Optimal Control

  • Artstein Z. and A. Leizarowitz, Tracking periodic signals with the overtaking criterion, IEEE Transactions on Automatic Control, 30, 11, 1985, 1123–1126.

    Article  Google Scholar 

  • Bittanti S., G. Fronza, G. Guardabassi and C. Maffezzoni, A maximum priciple for periodic optimization, Ricerche di Automatica, 3, 2, 170–179, 1972.

    Google Scholar 

  • Bittanti S., G. Fronza and G. Guardabassi, Periodic optimization of linear systems under control power constraints, Automatica, 9, 1973, 269–271.

    Article  Google Scholar 

  • Bittanti S., G. Fronza and G. Guardabassi, Periodic optimization of linear systems under control power constraint, Automatica, 9, 269–271, 1973.

    Article  Google Scholar 

  • Bittanti S. and G. Guardabassi, Optimal cyclostationary control: a parameter optimization frequency-domain approach,IFAC World Congress, Kyoto, 1981, VI-191 - VI-196.

    Google Scholar 

  • Bittanti S. and G. Guardabassi, Optimal cyclostationary control: the LQG approach,20th IEEE Conference on Decision and Control, San Diego, 1981, 166167.

    Google Scholar 

  • Bittanti S. and G. Guardabassi, Optimal periodic control and periodic systems analysis: a survey, 25th Conference on Decision and Control, Athens, 1986, 1417–1423.

    Google Scholar 

  • Bittanti S., A. Locatelli and C. Maffezzoni, Second variation methods in periodic optimization, Journal of Optimization Theory and Applications, 14, 1, 1974, 3149.

    Article  Google Scholar 

  • Bittanti S. and C. Maffezzoni, Structural properties of a Hamiltonian system in a periodic optimization problem, Automation and Remote Control, 36, 6, Part 1, 1975, 877–884 (translated from Avtomatika i Telemekhanika, 6, 1975, 5–13 ).

    Google Scholar 

  • Chuang C.H., J.L. Speyer and J.V. Breakwell, An asymptotic expansion about the chattering solution of an optimal periodic control problem, 26th Conference on Decision and Control, Athens, 1987.

    Google Scholar 

  • Chuang C.H., J.L. Speyer and J.V. Breakwell, An asymptotic expansion for an optimal relaxation oscillator, SIAM Journal on Control and Optimization, 26, 3, 1988.

    Article  Google Scholar 

  • Colonius F., Optimality for periodic control of functional di f ferential systems. Journal of Mathematical Analysis and Applications, 1985.

    Google Scholar 

  • Colonius F., A global maximum principle for periodic control of functional differential equations, 25th Conference on Decision and Control, Athens, 1986, 1424–1427.

    Google Scholar 

  • Dorato P. and H.K. Knudsen, Periodic optimization with applications to solar energy control, Automatica, 15, 1979, 673–676.

    Article  Google Scholar 

  • Dorato P. and A.H. Levis, Optimal linear regulators: the discrete time case. IEEE Transactions on Automatic Control, 6, 613–620, 1971.

    Article  Google Scholar 

  • Evans R.T., Optimal periodic control theory,F.J. Seiler Research Laboratory, Air Force Systems Command, Report SRL—TR — 80 — 0024,1980.

    Google Scholar 

  • Gilbert E.G., Optimal periodic control: A solution set theory od necessary and sufficient conditions, IFAC World Congress, Helsinki, 1978.

    Google Scholar 

  • Gilbert E.G., Optimal periodic control: A general theory of necessary conditions. SIAM Journal on Control and Optimization, 15, 717–746, 1977.

    Google Scholar 

  • Horn F.J.M. and R.C. Lin, Periodic Processes: A variational approach, Industrial Engineering Chemical Processes Design Devices, 5, 1, 21–30, 1967.

    Article  Google Scholar 

  • Maffezzoni C., Hamilton-Jacobi theory for periodic control problems,Journal of Optimization Theory and Applications, 14, 21–29, 1974.

    Google Scholar 

  • Matsubara M., Y. Nishimura and T. Takahashi, Optimal periodic control of lumped parameter systems, Journal of Optimization Theory and Applications, 13, 1, 1974

    Article  Google Scholar 

  • Markus L., Optimal control of limit cycles or what control theory can do to cure a heart attack or to cause one. Symposium on Ordinary Differential Equations, Minneapolis, W.A. Harris, Y. Sibuya eds., Springer-Verlag, 1973.

    Google Scholar 

  • Marzollo A. (ed.), Periodic optimization,Springer- Verlag, 1972.

    Google Scholar 

  • Noldus E., A survey of optimal periodic control of continuous systems. Journal A, 16, 11–16, 1975.

    Google Scholar 

  • Speyer J.L. and R.T. Evans, A second variational theory of optimal periodic processes, IEEE Transactions on Automatic Control, 29, 138–148, 1984.

    Article  Google Scholar 

  • Yakubovich V.A., Linear quadratic optimization problems and frequency theorem for periodic systems,Siberian Mathematics Journal, 27, 1986, 181–200 (Russian version in Sibirsk. Mat. Zh., 27, 4, 1986.)

    Google Scholar 

  • Yakubovich V.A., Dichotomy and absolute stability of nonlinear systems with periodically nonstationary linear part,Systems and Control Letters, 11, 1988, 221–228.

    Google Scholar 

  • Yakubovich V.A. and V. M. Starzhinskii, Linear differential equations with periodic coefficients, J. Wiley, 1975 (russian edition, 1972 ).

    Google Scholar 

Stabilization, regulation, pole assignment and all that

  • Chammas A B and C.T. Leondes, On the design of linear time invariant systems by periodic output feedback, Part I and Part II, International Journal of Control, 27, 6, 1978, 885–903.

    Article  Google Scholar 

  • Chammas A.B. and C.T. Leondes, Pole assignment by piecewise constant output feedback, International Journal of Control, 44, 1986, 1661–1673.

    Article  Google Scholar 

  • Colaneri P., Zero-error regulation of discrete-time linear periodic systems,Systems and Control Letters, 15, 1990, 161–167.

    Google Scholar 

  • Colaneri P., Output stabilization via pole placement of discrete-time linear periodic systems,IEEE Transactions on Automatic Control, AC — 36, 6, 1991, 739 —742.

    Google Scholar 

  • Davis J. H., Stability conditions derived from spectral theory: discrete-time systems with periodic feedback, SIAM Journal of Control, 10, 1972, 1–13.

    Article  Google Scholar 

  • Evans M.E., Pole assignment with periodic output feedback: computer assisted study of a s-dimensional linear system,International Journal of Systems Science, 19, 12, 1988, 2661–2672.

    Google Scholar 

  • Feintuch A., P. Khargonekar, A. Tannenbaum, On the sensistivity minimization problem for linear time-varying periodic systems, SIAM journal on Control and Optimization, 1986.

    Google Scholar 

  • Francis B.A. and T.T. Georgiu, Stability theory for linear time invariant plants with periodic digital controllers,IEEE Transactions on Automatic Control, AC-33,9,1988,820 — 832.

    Google Scholar 

  • Grasselli O.M. and F. Lampariello, Dead-beat control of linear periodic discrete-time systems, International Journal of Control, 33, 6, 1091–1106.

    Google Scholar 

  • Grasselli O.M., Dead-beat observers of reduced order for linear periodic discrete-time systems with inaccessible inputs,International Journal of Control, 40, 4, 731–745, 1984.

    Google Scholar 

  • Grasselli O.M. and S. Longhi, Disturbance localization with dead-beat control for linear periodic discrete-time systems, International Journal of Control, 44, 1986.

    Google Scholar 

  • Grasselli O.M. and S. Longhi, Linear function dead-beat observers with disturbance localization for linear periodic discrete-time systems, International Journal of Control, 45, 1986.

    Google Scholar 

  • Hamed M., Al- Rahmani and G.F. Franklin, Linear periodic Systems: eigenvalue assignment using discrete periodic feedback, IEEE Transactions on Automatic Control, 34, 1, 1989, 99–103.

    Article  Google Scholar 

  • Hernandez V. and A. Urbano, Pole-assignment problem for discrete-time linear periodic systems, International Journal of Control, 46, 2, 1987, 687–697.

    Article  Google Scholar 

  • Hernandez V. and A. Urbano, Pole-placenment problem for discrete-time linear periodic systems, International Journal of Control, 50, 1, 1989, 361–371.

    Article  Google Scholar 

  • Kabamba P.T., Monodromy eigenvalue assignment in linear periodic systems,IEEE Transactions on Automatic Control, AC — 31,1986, 950 — 952.

    Google Scholar 

  • Kabamba P.T., Control of linear systems using generalized sampled data hold functions,IEEE Transactions on Automatic Control, AC-24,1987, 772783.

    Google Scholar 

  • Kaczorek T., Pole placement for linear discrete-time systems by periodic output-feedbacks,Systems and Control Letters, 6, 1985.

    Google Scholar 

  • Khargonekar P.P., K. Poola and A. Tannenbaum, Robust control of time-inveraint plants using periodic compensation, IEEE Transactions on Automatic Control, AC — 30,11,1088 — 1096, 1985.

    Google Scholar 

  • Kern G., Linear closed-loop control in linear periodic systems with application to spin-stabilized bodies,International Journal of Control, 31, 5, 1981, 905–916.

    Google Scholar 

  • Willems J.L., V. Kucera and P. Brunovski, On the assignment of invariant factors by time-varying strategies, Systems and Control Letters, 5, 1984, 75–80.

    Article  Google Scholar 

Periodic versus time-invariant and time varying controllers

  • Bailey J.E. and F.J.M. Horn, Comparison between two su f ficient conditions for improvement of an optimal steady state process by periodic operation, Journal of Optimization Theory and Applications, 7, 5, 1071.

    Google Scholar 

  • Bernstein D.S. and E.G. Gilbert, Optimal periodic control: the H test revisited, IEEE Transactions on Automatic Control, AC — 25,673 — 684, 1980.

    Google Scholar 

  • Bittanti S., G. Fronza and G. Guardabassi, Periodic control: a frequency domain approach, IEEE Transactions on Automatic Control, 18, 33–38, 1973.

    Article  Google Scholar 

  • Bittanti S., G. Fronza and G. Guardabassi, Optimal steady state versus periodic operation in discrete systems, Journal of Optimization Theory and Applications, 18, 4, 1976.

    Article  Google Scholar 

  • Chapellat H., M. Dahleh and S. P. Battacharrya, Structure and optimality of multivariable periodic controllers, University of California at Santa Barbara, Int. Report UCSB-ME-91–6, 1991.

    Google Scholar 

  • Chapellat H. and M. Dahleh, Analysis of time-varying control strategies for optimal disturbance rejection and robustness, University of California at Santa Barbara, Int. Report UCSB-ME-91–9, 1991.

    Google Scholar 

  • Colonius F., The high frequency Pi-Criterion for retarded systems. IEEE Transactions on Automatic Control, 11, 1045–1048, 1985.

    Google Scholar 

  • Guardabassi G., Optimal steady-state versus periodic control,Ricerche di Automatica, 2, 240–252, 1971.

    Google Scholar 

  • Guardabassi G., The optimal periodic control problem,Journal A, 17, 75–83, 1976.

    Google Scholar 

  • Horn F.J.M. and R.C. Lin, Periodic processes: a variational approach, Industrial and Engineering Chemistry Process Design and Development, 6, 1967, 21–30.

    Article  Google Scholar 

  • Khargonekar P.P., K. Poola and A. Tannenbaum, Robust control of time-invaraint plants using periodic compensation, IEEE Transactions on Automatic Control, 30, 11, 1985, 1088–1096.

    Article  Google Scholar 

  • Watanabe N., Y. Nishimura and M. Matsubara, Singular control test for optimal periodic control problems, IEEE Transactions on Automatic Control, 1976, 609, 610.

    Google Scholar 

Multirate Digital Control

  • Albertos P., V. Hernandez, J. Tornero and P. Morant, Block multirate input output model for continuous time linear periodic systems. IEEE Confernce on Decision and Control, 1988.

    Google Scholar 

  • Araki M. and T. Hagiwara, Pole assignment by multirate sampled-data output feedback, International Journal of Control, 44, 1986, 1661–1673.

    Article  Google Scholar 

  • Al Rahmani H.M. and G.F. Franklin, A new optimal multirate control of linear periodic systems, IEEE Transactions on Automatic Control, 35, 1990, 406–415.

    Article  Google Scholar 

  • Berg M.C., N. Amit and J.D. Powell, Multirate digital control system design, IEEE Transactions on Automatic Control, 33, 1988, 1139–1150.

    Article  Google Scholar 

  • Colaneri P. and G. De Nicolao, Optimal stochastic control of multirate sampled-data systems, European Control Conference, Grenoble, 1991, 2519–2523.

    Google Scholar 

  • Colaneri P., R. Scattolini and N. Schiavoni, The LQG problem for multirate sampled-data systems, 28th Conference on Decision and Control, Tampa, 1989, 469–474.

    Google Scholar 

  • Colaneri P., R. Scattolini and N. Schiavoni, LQG optimal control of multirate sampled-data systems,IEEE Transactions on Automatic Control (to appear).

    Google Scholar 

  • Colaneri P. R. Scattolini and N. Schiavoni, Stabilization of multirate sampled data systems,Automatica 26, 1990, 377–380.

    Google Scholar 

  • Glasson D. P., A new technique for multirate digital control design and sample rate selection, Journal of Guidance, 5, 4, 1982, 379–382.

    Article  Google Scholar 

  • Hagiwara T. and M. Araki, Design of stable state feedback controller based on multirate sampling of the plant output, IEEE Transactions on Automatic Control, 33, 1988, 812–819.

    Article  Google Scholar 

  • Lennartson B., On the design of stochastic control systems with multirate sampling,Chalmers University of Technology, School of Electrical and Computer Engineering, Tech. Rep. 161, 1986.

    Google Scholar 

  • Jury E. J., and F.J. Mullin, The analysis of sampled data control systems with a periodically time-varying sampling rate, IRE Transactions on Automatic Control, 24, 1959, 15–21.

    Google Scholar 

  • Meyer R.A. and C.S. Burrus, A unified analysis of multirate and periodically time-varying digital filters, IEEE Transactions on Circuits and Systems, 22, 1975, 162–167.

    Article  Google Scholar 

  • Ritchey V.S. and G.F. Franklin, A stability criterion for asynchronous multirate linear systems, IEEE Transactions on Automatic Control, 34, 1989, 529–535.

    Article  Google Scholar 

  • Serrano E.J. and P.J. Ramadge, Sampled disturbace decoupling with stability using multirate control, IEEE Transactions on Automatic Control, 36, 1991, 1061–1064.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1992 Springer Science+Business Media New York

About this chapter

Cite this chapter

Bittanti, S. (1992). PSICO Today. In: Isidori, A., Tarn, TJ. (eds) Systems, Models and Feedback: Theory and Applications. Progress in Systems and Control Theory, vol 12. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4757-2204-8_6

Download citation

  • DOI: https://doi.org/10.1007/978-1-4757-2204-8_6

  • Publisher Name: Birkhäuser, Boston, MA

  • Print ISBN: 978-1-4757-2206-2

  • Online ISBN: 978-1-4757-2204-8

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics