【摘要】 基于T-S模糊模型,从正常闭环系统的可靠性问题入手,利用线性矩阵不等式(LMI)方法,研究一类非线性系统的模糊可靠H∞控制器设计问题.首先,对前期已有的结果进行了描述和比较,然后给出了T-S模糊系统的数学模型,并以线性矩阵不等式(LMI)的形式提出了系统模糊可靠H∞控制器存在的充分条件和控制器设计方法.所设计的模糊可靠H∞控制器的设计方法简明,使得故障闭环系统二次稳定,满足H∞性能指标,便于应用.数值例子验证了结论的正确性和控制器设计方法的有效性.更多还原

【Abstract】 Based on the T-S fuzzy model and proceeding with the reliability of normally closed-loop systems,the reliable design of fuzzy controller for a class of nonlinear systems is discussed via linear matrix inequality(LMI).Describing and comparing the earlier works,the sufficient condition for the mathematical model of T-S fuzzy system is given in terms of LMI,with the design method of reliable controller proposed.The controller thus designed enables the fault closed-loop systems to be restabilized of with quadratic stability so as to satisfy the performance indices in applications.A numerical example is given to verify the effectiveness of the design procedure.更多还原