篇名 | Robust Static Output Feedback Fuzzy Control Design for Nonlinear Discrete-Time Systems with Persistent Bounded Disturbances |
---|---|
卷期 | 14:1 |
作者 | Hwa-Lu Jhi 、 Chung-Shi Tseng |
頁次 | 131-140 |
關鍵字 | l∞-gain control 、 nonlinear discrete-time systems 、 static output feedback fuzzy controller 、 persistent bounded disturbances 、 LMI constraints 、 EI 、 SCI 、 SCIE 、 Scopus |
出刊日期 | 201203 |
To date, nonlinear l∞ -gain static output feedback control problems have not been solved by the conventional control methods for nonlinear discrete-time systems with persistent bounded disturbances. This study introduces static output feedback fuzzy control scheme to deal with the nonlinear l∞ -gain control problem. The structure of static output feedback fuzzy control is simpler than that of dynamic output feedback fuzzy control. Based on the Takagi and Sugeno (T-S) fuzzy model, a static output feedback fuzzy controller is developed to minimize the upper bound of l∞ -gain of the closed-loop system under some linear matrix inequality (LMI) constraints. A singular value decomposition (SVD) method is proposed in this study to solve the l∞ -gain static output feedback fuzzy control problem for the nonlinear discrete- time systems in terms of solving an LMI-based minimization problem. The proposed static output feedback fuzzy control scheme can efficiently attenuate the peak of perturbation due to persistent bounded disturbances for the nonlinear discrete-time systems. Simulation examples are given to illustrate the design procedures and to confirm the l∞ -gain performance of the proposed method.