Abstract
In this paper the theory of linear optimal output feedback control is investigated in relation to its applicability in the design of high-dimensional linear multivariable control systems. A method is presented which gives information about the relative importance of the inclusion of a state vector element in the output feedback. The necessary conditions of the optimization problem are shown to be a set of linear/quadratic algebraic matrix equations. Numerical algorithms are presented which take account of this linear/quadratic character.
This is a preview of subscription content, log in via an institution to check access.
Preview
Unable to display preview. Download preview PDF.
References
D.L. Kleinman, M. Athans, The design of suboptimal linear time-varying systems. IEEE Trans. Aut. Contr. 13 (1968), 150–160.
R.L. Kosut, Suboptimal control of linear time-invariant multivariable systems subject to control structure constraints. Ph.D. diss. Univ. Pennsylvania, 1969; also IEEE Trans. Aut. Contr. 15 (1970), 557–563.
W.S. Levine, T.L. Johnson, M. Athans, Optimal limited state variable feedback controllers for linear systems. IEEE Trans. Aut. Contr. 16 (1971), 785–793.
P.J. McLane, Linear optimal stochastic control using instantaneous output feedback. Int. J. Contr. 13 (1971), 383–396.
S. Axsäter, Sub-optimal time-variable feedback control of linear dynamic systems with random inputs. Int. J. Contr. 4 (1966), 549–566.
M. Athaus, The matrix minimum principle. Inf. Contr. 11 (1968), 592–606.
M.T. Li, On output feedback stabilizability of linear system. IEEE Trans. Aut. Contr. 17 (1972), 408–410.
A.K. Nandi, J.H. Herzog, Comments on "Design of single-input system for specified roots using output feedback". IEEE Trans. Aut. Contr. 16 (1971), 384–385.
D.G. Luenberger, Optimization by vector space methods. Wiley, N.Y. 1969
M.C. Pease, Methods of matrix algebra. Academic Press, New York 1965.
T.E. Fortmann, A matrix inversion identity. IEEE Trans. Aut. Contr. 15 (1970), 599.
H. Kwakernaak, R. Sivan, Linear optimal control systems. Wiley-Interscience, New York 1972.
B.D.O. Anderson, J.B. Moore, Linear optimal control. Prentice-Hall, Englewood Cliffs, N.J., 1971.
W.S. Levine, M. Athans, On the determination of the optimal constant output feedback gains for linear multivariable systems. IEEE Trans. Aut. Contr. 15 (1970), 44–48.
R.A. Smith, Matrix equation XA+BX=C. SIAM J. Appl. Math. 16 (1968), 198–201.
P.G. Smith, Numerical solution of the matrix equation AX+XAT+B=0. IEEE Trans. Aut. Contr. 16 (1971), 278–279.
O.H. Bosgra, Application of optimal output control theory to a model of external power station boiler dynamic behaviour. Report N-95, Lab. Meas. Contr., Delft Univ. Techn., Stevinweg 1, Delft, The Netherlands, 1973.
E.J. Davison, N.S. Rau, The optimal output feedback control of a synchronous machine. IEEE Trans. Pow. App. Syst. 90 (1971), 2123–2134.
M. Ramamoorty, M. Arumugam, Design of optimal constant-output feedback controllers for a synchronous machine, Proc. IEE 119 (1972), 257–259.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1973 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Naeije, W.J., Valk, P., Bosgra, O.H. (1973). Design of optimal incomplete state feedback controllers for large linear constant systems. In: Conti, R., Ruberti, A. (eds) 5th Conference on Optimization Techniques Part I. Optimization Techniques 1973. Lecture Notes in Computer Science, vol 3. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-06583-0_37
Download citation
DOI: https://doi.org/10.1007/3-540-06583-0_37
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-06583-8
Online ISBN: 978-3-540-37903-4
eBook Packages: Springer Book Archive