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- Title
非线性广义 Markov跳变系统的异步耗散控制.
- Authors
杨冬梅; 李达
- Abstract
The problem of strictly asynchronous dissipative control for a class of continuous time nonlinear generalized Markov jump systems under Takagi-Sugeno fuzzy rules is studied. Firstly, by constructing a less conservative mode independent Lyapunov function, the sufficient conditions for stochastic stability and strict dissipation of generalized system are discussed. Then, the hidden Markov model that is widely used in practice is introduced. By combining the state transition probability with the conditional probability of the hidden Markov process, and through Schur transformation, a fuzzy state feedback controller is designed, which can operate asynchronously with the original system, so as to ensure the stochastic stability and strict dissipation of the closed-loop system. Finally, numerical simulation using Matlab linear matrix inequality(LMI) toolbox is applied to verify the effectiveness of the conclusion.
- Subjects
MARKOVIAN jump linear systems; HIDDEN Markov models; LINEAR matrix inequalities; CLOSED loop systems; CONDITIONAL probability; STATE feedback (Feedback control systems)
- Publication
Journal of Northeastern University (Natural Science), 2021, Vol 42, Issue 9, p1226
- ISSN
1005-3026
- Publication type
Article
- DOI
10.12068/j.issn.1005-3026.2021.09.002