Title :
Dynamic output compensator design for time-varying discrete time systems with delayed states
Author :
Leite, V.J.S. ; Castelan, E.B. ; Miranda, M.F. ; Viana, D.C.
Author_Institution :
CEFET-MG, Divinopolis, Brazil
fDate :
June 30 2010-July 2 2010
Abstract :
Convex conditions, proposed as a feasibility test of a set of linear matrix inequalities (LMIs), are given for the design of a partially parameter dependent dynamic output feedback controller for a class of discrete time systems with delayed state. This class concerns the systems with time-varying delay in the state and time varying parameters, both assumed to be available on line. The controller is composed by a classical part, feeding-back the system output and another one where the delayed output of the system is feedback. This last part can be avoided in case of inaccessible delay value, resulting in a more classical control design. Different from other approaches found in the literature, it is used a parameter dependent Lyapunov-Krasovskii functional candidate and a slack matrix variable to reduce the conservatism of the proposed approach. The resulting parameter dependent controller can be obtained on line as a convex combination of some “vertex” controllers. Numerical examples are presented to illustrated the effectiveness of the proposal.
Keywords :
Lyapunov methods; control system synthesis; delays; discrete time systems; feedback; linear matrix inequalities; time-varying systems; LMI; delayed state; dynamic output compensator design; dynamic output feedback controller; linear matrix inequalities; parameter dependent Lyapunov Krasovskii functional candidate; slack matrix; state varying parameter; time varying delay; time varying discrete time system; Control design; Control systems; Delay effects; Delay systems; Discrete time systems; Linear feedback control systems; Linear matrix inequalities; Output feedback; System testing; Time varying systems;
Conference_Titel :
American Control Conference (ACC), 2010
Conference_Location :
Baltimore, MD
Print_ISBN :
978-1-4244-7426-4
DOI :
10.1109/ACC.2010.5530438