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Paper details
Number 2 - June 2002
Volume 12 - 2002
On the discrete time-varying JLQG problem
Adam Czornik, Andrzej Świerniak
Abstract
In the present paper optimal time-invariant state feedback controllers are designed for a class of discrete time-varying control systems with Markov jumping parameter and quadratic performance index. We assume that the coefficients have limits as time tends to infinity and the boundary system is absolutely observable and stabilizable. Moreover, following the same line of reasoning, an adaptive controller is proposed in the case when system parameters are unknown but their strongly consistent estimators are available.
Keywords
jump linear systems, optimal control, time-varying systems, coupled Riccati equations