Robust H∞ control of uncertain Markovian jump systems with time-delay

By Yong-Yan Cao, James Lam. IEEE Transactions on Automatic Control, 2000

369 citations recorded by the source corpus.

This paper is concerned with the robust stochastic stabilizability and robust H/sub /spl infin// disturbance attenuation for a class of uncertain linear systems with time delay and randomly jumping parameters. The transition of the jumping parameters is governed by a finite-state Markov process. Sufficient conditions on the existence of a robust stochastic stabilizing and /spl gamma/-suboptimal H/sub /spl infin// state-feedback controller are presented using the Lyapunov functional approach. It is shown that a robust stochastically stabilizing H/sub /spl infin// state-feedback controller can be constructed through the numerical solution of a set of coupled linear matrix inequalities.

Subfields: Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/3478f18cab3e15fd1efda82b34af488c12ccb6bc

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In Control and Systems Engineering

1. Fanbiao Li
2. Peng Shi
3. Yanping Gao
4. Long Wang
5. Lixian Zhang
6. Shaocheng Tong
7. Yong-ming Li
8. Ligang Wu

Citations in the corpus

• Time-delay systems: an overview of some recent advances and open problems (2003, neutral): “…Frank, & Lin, 1996; Li & De Souza, 1996; Niculescu, 2001; Niculescu, De Souza, Dugard, & Dion, 1998), tracking (Oucheriah, 1999), H∞ techniques (see Cao & Lam, 2000; Foias et al., 1996; Fridman & Shaked, 2002; Mahmoud, 2000; Niculescu, 1998; Van Keulen, 1993; Watanabe et al., 1996 and their…”
• Asynchronous consensus of continuous-time multi-agent systems with intermittent measurements (2010, background): “Hence, system (7) is globally asymptotically stable. h Lemma A.1 (Cao and Lam 2000) : For any vectors x , y 2 R q and positive definite matrix Q 2 R q (cid:2) q , we have 2 x T y x T Qx þ y T Q (cid:4) 1 y .”
• A survey on Markovian jump systems: Modeling and design (2015, background): “H∞ control for MJSs has been investigated in [19,21,60,65,66,71,72], while robust H∞ control for MJSs with unknown nonlinearities has been studied in [65].”