CAJ | 학술논문

研究了一类输入采用双交叠模糊分划的T-S模糊控制系统稳定性分析及控制器设计问题.基于分段模糊Lyapunov函数,提出了一个新的判定开环T-S模糊系统稳定性的充分条件,该方法只需在各个模糊区间里满足模糊Lyapunov方法中的条件,其保守性比公共Lyapunov函数法和分段Lyapunov函数法的保守性更低.运用并行分布补偿法(PDC)进一步探讨了闭环T-S模糊控制系统的稳定性分析问题并设计丁模糊控制器.最后,一个仿真示例说明了本文方法的有效性.
연구료일류수입채용쌍교첩모호분화적T-S모호공제계통은정성분석급공제기설계문제.기우분단모호Lyapunov함수,제출료일개신적판정개배T-S모호계통은정성적충분조건,해방법지수재각개모호구간리만족모호Lyapunov방법중적조건,기보수성비공공Lyapunov함수법화분단Lyapunov함수법적보수성경저.운용병행분포보상법(PDC)진일보탐토료폐배T-S모호공제계통적은정성분석문제병설계정모호공제기.최후,일개방진시례설명료본문방법적유효성.
The stability analysis and design techniques of Takagi-Sugeno(T-S) fuzzy control systems whose input vari-zbles employ two-overlapped fuzzy partition are discussed. Based on the piecewise fuzzy Lyapunov function, we propose a new sufficient condition to check the stability of T-S fuzzy control systems. This condition only needs to satisfy the condition of fuzzy Lyapunov function in each fuzzy region. Using the methods of parallel distributed compensation(PDC) and linear matrix inequality(LMI), we investigate the stability analysis and design of closed-loop T-S fuzzy control systems further. It is shown that the piecewise fuzzy Lyapunov approach is less conservative then those of the common Lyapunov function and the piecewise Lyapunov function. Simulation results verify the efficiency and feasibility of the proposed method.