Abstract
This paper is concerned with the problem of stochastic stabilization and H ∞ control for a class of continuous-time nonlinear Markovian jump systems (MJSs) described by Takagi-Sugeno (T-S) fuzzy models. Based on a mode-dependent fuzzy Lyapunov function and by introducing slack matrix variables, we propose a new less conservative sufficient condition for the mode-dependent fuzzy controller in terms of linear matrix inequalities (LMIs), which can be easily solved by using the convex optimization techniques. Further, a new design approach of H ∞ controller is also provided, and it has shown that the new design approach improves the H ∞ performance of the MJSs. Finally, two simulation examples are provided to illustrate the effectiveness of the proposed approach.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
