Title :
Optimal control of time-varying fault tolerant systems
Author :
Czornik, Adam ; Swierniak, Andrzej
Author_Institution :
Dept. of Autom. Control, Silesian Tech. Univ., Gliwice, Poland
Abstract :
In this paper an optimal control law for continuous infinite time-varying stochastic control systems with jumps and quadratic cost is found under assumption that the coefficients have limits as time tends to infinity and the boundary system is absolutely observable and stabilizable. Such systems are used to model design problems for fault tolerant control systems assuming that a process of failure detection and isolation is fast enough. In addition the asymptotic properties of the solution of the differential Riccati equations for continuous time Markovian jump linear quadratic control problem with time varying coefficients are established.
Keywords :
Markov processes; Riccati equations; differential equations; fault diagnosis; fault tolerance; observability; optimal control; stability; stochastic systems; continuous infinite time-varying stochastic control systems; continuous time Markovian jump linear quadratic control; differential Riccati equations; failure detection; failure isolation; optimal control; quadratic cost; time-varying fault tolerant systems; Control system synthesis; Control systems; Cost function; Fault detection; Fault tolerant systems; H infinity control; Optimal control; Riccati equations; Stochastic systems; Time varying systems;
Conference_Titel :
Decision and Control, 2004. CDC. 43rd IEEE Conference on
Print_ISBN :
0-7803-8682-5
DOI :
10.1109/CDC.2004.1430236