Title :
Design of performance robustness for uncertain linear systems with state and control delays
Author :
Luo, J.S. ; van den Bosch, P.P.J. ; Weiland, S. ; Goldenberge, A.
Author_Institution :
Bombardier-DeHaviland, Canada
fDate :
11/1/1998 12:00:00 AM
Abstract :
The linear systems considered in this paper are subject to uncertain perturbations of norm-bounded time-varying parameters and multiple time delays in system state and control. The time delays are uncertain, independent of each other, and allowed to be time-varying. The integral quadratic cost criterion is employed to measure system performance. Using solutions of Lyapunov and Riccati equations, a linear state feedback control law is proposed to stabilize the perturbed system and to guarantee an upper bound of system performance, which is applicable to arbitrary time delays
Keywords :
Lyapunov methods; Riccati equations; control system synthesis; delays; feedback; linear systems; robust control; time-varying systems; uncertain systems; Lyapunov equations; Riccati equations; control delays; integral quadratic cost criterion; linear state feedback control law; multiple time delays; norm-bounded time-varying parameters; performance robustness design; performance upper bound; perturbed system; state delays; uncertain independent time-varying delays; uncertain linear systems; Control systems; Costs; Delay effects; Integral equations; Linear systems; Riccati equations; Robustness; State feedback; System performance; Time varying systems;
Journal_Title :
Automatic Control, IEEE Transactions on
