Abstract

In this paper, a design scheme is proposed for a class of nonlinear systems, which can be modeled by a T-S fuzzy hyperbolic model of stable fuzzy control. Firstly, the parallel distributed compensation (PDC) method is employed to design the fuzzy controller for the system without considering the error caused by fuzzy modeling, and the sufficient conditions of stability are given by using linear matrix inequalities (LMI). Then the error caused by fuzzy modeling is considered and the method of adaptive control is employed to reduce the effect of the modeling error. Simultaneously, the closed-loop system has better dynamic performance. According to Lyapunov stability theory, the resulting closed-loop system is proved to be asymptotically stable. Finally, an illustrative example is given to verify the effectiveness of the results proposed in this paper.

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 call

Disclaimer: 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.