基于T-S模型非线性对象条件约束下H∞指标优化

讨论了一类基于T-S模糊模型的非线性系统,根据满意控制思想提出一种条件约束下的状态反馈控制设计方法。即在H∞控制基础上,加入圆形极点指标和状态协方差指标约束。进而研究了圆形极点约束和状态协方差约束下,系统被控输出对扰动输入的H∞抑制界优化问题,并且将H∞优化、圆形极点和状态协方差指标约束的状态反馈控制器设计归结为求一组线性矩阵不等式(LMI)的可行解问题,通过求解LMI得到满足要求的控制器参数。仿真结果表明该方法可行有效。

Optimization of H∞ Index Based on T-S Model under the Nonlinear Object Constraint System Condition

Based on the conception of satisfactory control,the paper presents a constrained state feedback controller design of complex nonlinear systems which can be represented by T-S fuzzy model,that is,the method adds constraints of circular pole and state covariance to H∞control.And optimization of H∞ attenuation index from disturbance input to controlled output is studied for the considered system under constrained of pole and state covariance.Through questions of feasible solutions to a set of linear matrix inequalities,the method describes the design of state feedback control which includes optimization of H∞,pole circular and state covariance constraint.The parameters of the controller can be got through solving a set of linear matrix inequalities.The simulation tested the efficiency of the design method.