H/sub ∞/ control for discrete-time linear systems with Markovian jumping parameters
- 22 November 2002
- conference paper
- Published by Institute of Electrical and Electronics Engineers (IEEE)
- Vol. 4 (01912216) , 4134-4139
- https://doi.org/10.1109/cdc.1997.652516
Abstract
We investigate the problem of H/sub /spl infin// control for a class of linear discrete-time systems with Markovian jumping parameters. The jumping parameters considered here are discrete-time Markov processes. Our attention is focused on the design of a linear state feedback controller such that both stochastic stability and a prescribed H/sub /spl infin// performance are required to be achieved. Furthermore, the robust H/sub /spl infin// control problem for Markovian jumping systems with parameter uncertainties are also studied. Some sufficient conditions are proposed to solve the above problems, which are in terms of a set of solutions of coupled algebraic Riccati equations.Keywords
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