摘要
文章研究了带饱和现象的T-S离散时间模糊系统.建立了T-S模糊系统,并对该系统进行稳定性分析,利用PDC技术、二次Lyapunov函数以及线性矩阵不等式(LMI)方法,建立了闭环模糊系统渐近稳定的判别条件.通过求解LMIs,给出了相应的模糊控制律的设计方法.并得到闭环模糊系统的吸引域.
The T-S discrete-time fuzzy system with actuator saturation is studied in the paper. T-S fuzzy system is modeled; the stability analysis is studied through the T-S fuzzy modeling method. By using PDC technique, quadratic Lyapunov function, and LMI approach, a criterion of asymptotic stability for the closed-loop fuzzy systems is established. The problem of designing the corresponding fuzzy controller and estimating the domain of attraction of T-S discrete fuzzy systems is obtained by solving such LMIs.
出处
《太原师范学院学报(自然科学版)》
2008年第3期33-36,共4页
Journal of Taiyuan Normal University:Natural Science Edition