Paper
Robust Control for Fuzzy Markovian Jump Systems with Uncertain Transition Probabilities
- Authors:
- Yigong Wang; Yizhong Wang
- Abstract
- This paper focuses on the robust H¥ control problem for a class of fuzzy stochastic Markovian jump systems. The system under study involves with uncertain Markovian jump parameters, time delays, and uncertain transition probabilities. Firstly, based on free-weighting matrix method, a new fuzzy control design scheme via state feedback is proposed in terms of linear matrix inequalities. Then, the method of robust H¥ control is developed which is dependent on the size of the delay. Designed controller can guarantee asymptotically stable in mean square and a prescribed H¥ performance level of the resulting closed-loop system for all admissible uncertainties and time delay. Finally a numerical example is provided to illustrate the effectiveness of the proposed methods.
- Keywords
- H Control; Fuzzy Systems; Markov Chain; Linear Matrix Inquality; Delay-Dependent
- StartPage
- 93
- EndPage
- 99
- Doi