非线性离散时滞系统的模糊H_∞鲁棒控制

Fuzzy H_∞ Robust Control for Nonlinear Discrete Time Delay Systems

针对一类具有时滞的非线性离散系统的控制问题,通过对其进行模糊建模,设计了H∞鲁棒控制器.利用构造的Lyapunov函数和线性矩阵不等式,证明并给出了模糊H∞鲁棒控制问题有解的充分条件.依据由模糊规则和线性系统方程建立的模糊模型,所设计的控制器使系统具有更好的鲁棒稳定性,干扰抑制能力强,满足成本上界约束条件.算例仿真结果表明,所设计的模糊控制器对不确定性和时滞都有很好的控制能力,同时系统对干扰有很强的抑制能力.

A fuzzy H∞ robust controller was designed for a class of nonlinear discrete time delay system by using fuzzy model. A sufficient condition for the solvability of the fuzzy H∞ robust control problem was presented and proved by a proper Lyapunov function and linear matrix inequality. Based on the fuzzy model constructed by fuzzy rules and linear state equations, a fuzzy controller was designed such that the controlled system has better robust stability and ability of re straining disturbance, and satisfies the constraint condition of cost upper bound. Simulation results illustrate that the proposed fuzzy controller has better control ability for uncertainty and time-delay,meanwhile, systems have the better ability to attenuate disturbance.