Abstract
In dealing with periodic optimization problems, a somewhat preliminary and important question which has first to be answered is whether standard (optimal) steady-state control can be improved or not by means of a suitable cyclic operation. This question, which has been extensively considered in a lot of application-oriented works (mainly in the field of Chemical Engineering [1] – [5]) does also present a number of attractive features, from a theoretical point of view [6] – [9].Aim of this lecture is to survey all theoretical achieveme ments of the kind above in the area of Discrete Periodic Optimization, and contemporarily to illustrate them, by means of an elementary example.
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References
M.H.I. Baird, “Vibration and Pulsation”, British Chem. Eng., Vol. 11, N°1, pp. 20–25, 1966.
Symposium on Cyclic. Processing Operations, I and EC Proc. Des. and Development, Vol. 6, N°1, 1967.
J.E. Bailey, F.J.M. Horn, R.C. Lin, “ Cyclic Operation of Reaction Systems”, 63rd Nat. AIChE Meeting, St. Louis, Missouri, 1965.
F.J.M. Horn, J.E. Bailey, “ An Application of the Theorem of Relaxed Control to the Problem of Improving Catalyst Selecting, JOTA, Vol.2 N°5, 1968.
N.Y. Gaitonde, J.M. Douglas, “ The Use of Positive Feed back Control Systems to Improve Reactor Performance”, AIChE Journal, Vol. 15, Vol. 15, N°6, pp. 902–910, 1969.
F.J.M. Horn, R.C. Lin, “ Periodic Processes: A Variational Approach”, I and EC Proc. Des. and Develop ment, Vol. 6, N°1, pp. 21–30, 1967.
J.E. Bailey, F.J.M. Horn, “Comparison between Two Sufficient Conditions for Improvement of an Optimal Steady-State Process by Periodic Operation”, JOTA, Vol. 7, N°5, pp. 378385, 1971.
G. Guardabassi, “ Optimal Steady-State Versus Periodic Control: a Circle Criterion”, Ricerche di Automatica, Vol. 2, N°3, December 1971.
S. Bittanti, G. Fronza, G. Guardabassi, “ Periodic Control: a Frequency Domain Approach”, IEEE Trans. on Autom. Contr., Vol. AC-18, N°1, february 1973.
S. Bittanti, G. Fronza, G. Guardabassi, “Optimality Conditions for Discrete Periodic Optimization”, this volume.
E.S. Pyatnitskii, “New Research on the Absolute Stability of Automatic Control Systems (Review)”, Avtomatika i Telemekhanika, N°6, pp. 5–36, 1968.
Ya.Z. Tsypkin, “Frequency Criteria of Absolute Stability of Nonlinear Pulse Systems”, Automatika i Telemekhanika, Vol. 25, N°3, 1964.
J.B. Cruz, W.R. Perkins, “A New Approach to the Sensitivity Problem in Multivariable Feedback System Design”, IEEE Trans. on Automatic Control, Vol. AC-9, pp. 216–223, 1964.
J.C. Williams, %east Square Stationary Optimal Control and the Algebraic Riccati Equation“, IEEE Trans. on Automatic Control, Vo]. AC-16, pp. 621–634, 1971.
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Bittanti, S., Fronza, G., Guardabassi, G. (1972). Optimal Steady — State Vs Periodic Operation in Discrete Systems. In: Marzollo, A. (eds) Periodic Optimization. International Centre for Mechanical Sciences, vol 135. Springer, Vienna. https://doi.org/10.1007/978-3-7091-2652-3_7
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DOI: https://doi.org/10.1007/978-3-7091-2652-3_7
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