一类死区非线性输入系统的自适应模糊控制

Adaptive Fuzzy Control for a Class of Nonlinear Systems with Input Dead-zone Nonlinearity

针对一类具有死区非线性输入的非线性系统,基于滑模控制的基本原理,利用II型模糊逻辑系统对未知函数进行在线逼近,提出了一种具有监督器的自适应模糊滑模控制方法。该方法通过监督控制器保证闭环系统所有信号有界,并通过引入最优逼近误差的自适应补偿项来消除建模误差的影响。通过理论分析,证明了跟踪误差收敛到零。

The problem of adaptive fuzzy control for a class of nonlinear systems with input dead-zone nonlinearity is studied in this paper. Based on the principle of sliding mode control, a novel fuzzy sliding mode control strategy with supervisory controller is developed. The second type fuzzy systems is employed to approximate the nonlinear unknown function. With the help of a supervisory controller, the resulting closed-loop system is globally stable in the sense that all signals involved are uniformly bounded. Furthermore, the adaptive compensation term of the optimal approximation error is adopted to reduce the effects of modeling error. By Lyapunov method, the tracking error asymptotically converges to zero.