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Full InformationH∞-Control for Discrete-Time Infinite Markov Jump Parameter Systems

✍ Scribed by O.L.V. Costa; J.B.R. do Val

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
316 KB
Volume
202
Category
Article
ISSN
0022-247X

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✦ Synopsis

In this paper we consider the full information discrete-time H -control problem ϱ for the class of linear systems with Markovian jumping parameters. The state-space of the Markov chain is assumed to take values in a countably infinite set. Full information here means that the controller has access to both the state-variables and jump-variables. A necessary and sufficient condition for the existence of a feedback controller that makes the l l -induced norm of the system less than a 2 prespecified bound is obtained. This condition is written in terms of a set of infinite coupled algebraic Riccati equations.

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✍ El-Kébir Boukas; Peng Shi 📂 Article 📅 1998 🏛 John Wiley and Sons 🌐 English ⚖ 126 KB 👁 2 views

In this paper, we first study the problems of robust quadratic mean-square stability and stabilization for a class of uncertain discrete-time linear systems with both Markovian jumping parameters and Frobenius norm-bounded parametric uncertainities. Necessary and sufficient conditions for the above