一类非线性不确定时滞系统的可靠H^∞控制  

Reliable H∞ Control for a Class of Nonlinear Uncertain Time-Delay Systems

作　　者：李志虎[1] 邵惠鹤[1] 

机构地区：[1]上海交通大学自动化系,上海200030

出　　处：《上海交通大学学报》2001年第2期272-274,共3页Journal of Shanghai Jiaotong University

摘　　要：研究了一类非线性不确定动态时滞系统的鲁棒可靠 H∞ 控制问题 ,其中状态矩阵和状态迟延矩阵的参数不确定性是范数有界的 ,模型的非线性不确定性是增益有界的 ,而它们无需满足匹配条件 .基于 Lyapunov稳定性理论导出了执行器失效情形下的可靠 H∞控制器存在的充分条件 ,通过求解一个线性矩阵不等式 (LMI)来设计控制律 .文中算例验证了该设计方法的有效性 .This paper dealt with the problem of reliable H∞ control for a class of uncertain nonlinear systems with state delays. The parameter uncertainties in state matrix and state-delayed matrix were assumed to be norm-bounded, and the nonlinear uncertainties for plant were assumed to satisfy the gain boundedness condition. They need not satisfy any matching condition. Based on Lyapunov stability theory, a sufficient condition for existence of reliable H∞ controllers under actuator failures was derived. By solving a linear matrix inequality, the state feedback control laws were obtained. A numeric example is given to demonstrate the effectiveness of the design method.

关 键 词：非线性时滞系统 不确定性 执行器失效 可靠H^∞控制 

分 类 号：TP271.72[自动化与计算机技术—检测技术与自动化装置] TP273[自动化与计算机技术—控制科学与工程]