基于T-S模型的非线性系统非脆弱保性能模糊控制

针对一类用T-S模糊模型描述的非线性系统,采用状态反馈的并行分布补偿方法研究其非脆弱保性能模糊控制问题,使得在控制器存在可加性摄动的情况下,其闭环性能指标值低于确定的上界。利用线性矩阵不等式处理方法,导出了非脆弱保性能模糊控制律的存在条件。通过建立和求解一个凸优化问题,给出了最优非脆弱保性能模糊控制律的设计方法,并用此方法设计一级倒立摆的非脆弱模糊控制律。仿真结果表明了方法的有效性。

T-S model-based non-fragile guaranteed cost fuzzy control for nonlinear systems

A non-fragile guaranteed cost control problem for a class of nonlinear systems described by T-S fuzzy model is presented.The objective is to design a non-fragile guaranteed cost state feedback controller via the parallel distributed compensation(PDC) approach such that the closed-loop system is asymptotically stable and the closed-loop performance is no more than a certain upper bound in the presence of the additive controller gain perturbations.A sufficient condition for the existence of such non-fragile guaranteed cost controllers is derived via the linear matrix inequality(LMI) approach.The design of the optimal non-fragile guaranteed cost fuzzy controller is formulated as a convex optimization problem,which can be efficiently solved with the existing convex optimization techniques.Finally,the proposed method is used to solve the control problem of an inverted pendulum.Simulation results demonstrate the effectiveness of the proposed method.