一类不确定时滞系统的非线性H_∞控制  

Nonlinear H_∞ control for a class of uncertain systems with time-delay

作　　者：王天成[1] 刘小梅[1] 高荣[1] 

机构地区：[1]鲁东大学数学与信息学院,山东烟台264025

出　　处：《控制与决策》2009年第6期945-948,共4页Control and Decision

基　　金：国家自然科学基金项目(10771122;60774016)

摘　　要：利用Lyapunov稳定性定理和线性矩阵不等式工具,讨论了一类不确定时滞系统的非线性H∞控制问题.设计的非线性H∞控制器可由线性矩阵不等式的解给出.进一步,建立一个具有线性矩阵不等式约束的凸优化问题,得到了不确定时滞系统的最优状态反馈H∞控制律.仿真示例表明了该方法的可行性.By means of Lyapunov function and linear matrix inequalities（LMls）.the problem of nonlinear H control for a class of uncertain systems with time-delay is considered. The nonlinear H control law of systems is presented in terms of the solutions of LMIs. Furthermore, a convex optimization problem with l.Mls constraints is formulated, such that the optimal state feedback H control for uncertain systems with time-delay can be determined. An illuslrative example demonstrates the effectiveness of proposed method.

关 键 词：LYAPUNOV泛函 线性矩阵不等式 非线性H控制 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]