Abstract
This paper studies the problem of robust H 2 static output feedback (SOF) fuzzy control for discrete-time nonlinear systems with parametric uncertainties. The Takagi and Sugeno fuzzy model is employed to represent an uncertain discrete-time nonlinear system. A sufficient condition for the existence of robust H 2 SOF fuzzy controllers is presented in terms of a set of matrix inequalities, which not only guarantees the stability of the closed-loop fuzzy system, but also provides an upper bound on the quadratic cost function. A suboptimal robust H 2 SOF fuzzy control problem is addressed in the sense of minimizing the bound. An iterative linear matrix inequality (ILMI) algorithm is proposed to compute the feedback gain matrices of the suboptimal fuzzy controller. Finally, two numerical examples are also provided to demonstrate the effectiveness of the proposed method.
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.
