DocumentCode :
843215
Title :
On the control of linear systems whose coefficients are functions of parameters
Author :
Kamen, Edward W. ; Khargonekar, Pramod P.
Author_Institution :
University of Florida, Gainesville, FL, USA
Volume :
29
Issue :
1
fYear :
1984
fDate :
1/1/1984 12:00:00 AM
Firstpage :
25
Lastpage :
33
Abstract :
The stabilization and regulation of linear discrete-time systems whose coefficients depend on one or more parameters is studied. For linear systems whose coefficients are continuous functions of real or complex parameters (respectively, analytic or rational functions of real parameters), it is shown that reachability of the system for all values of the parameters implies that the system can be stabilized using gains that are also continuous (analytic, rational) functions of the parameters. Closed-form expressions for a collection of stabilizing gains are given in terms of the reachability Gramian. For systems which are stabilizable for all values of the parameters, it is shown that continuous (analytic, rational) stabilizing gains can be computed from a finite-time solution to a Riccati difference equation whose coefficients are functions of the parameters. These results are then applied to the problem of tracking and disturbance rejection in the case when both the plant and the exogenous signals contain parameters.
Keywords :
Linear systems; Stability, linear systems; Algebra; Closed-form solution; Control systems; Difference equations; Feedback; Linear systems; Real time systems; Regulators; Riccati equations; Temperature dependence;
fLanguage :
English
Journal_Title :
Automatic Control, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9286
Type :
jour
DOI :
10.1109/TAC.1984.1103374
Filename :
1103374
Link To Document :
بازگشت