一类非线性系统的自适应模糊滑模控制

Adaptive Fuzzy Slide Control for a Class of Nonlinear Systems

针对一类不确定非线性系统提出了一种自适应模糊控制方法.该方法用模糊逻辑系统(FLS)逼近理想控制器;用滑模补偿控制器(SMCC)全局补偿逼近误差和系统的不确定性并消除外部干扰的影响, 能够保证闭环系统全局渐近稳定,跟踪误差收敛到原点的邻域内.在闭环系统的稳定性分析中取消了文[1～4]中要求的逼近误差平方可积的条件.

An adaptive fuzzy slide tracing control method is presented for a class of unknown nonlinear systems. In this method, a fuzzy logical systems (FLS) is usedapproximate the ideal controller; the SMCC is designed for compensating the approximation errors and uncertainty of the systems, and meanwhile attenuating the external disturbance. It is proved that the proposed controller not only can guarantee the stability of the closed-loop systems, but also make the tracing error converge to a small neighborhood of zero.