时滞不确定系统的广义H_2控制  

Generalized H_2 control for uncertain time-delayed systems

作　　者：高会军[1] 王常虹[1] 李艳辉[1] 

机构地区：[1]哈尔滨工业大学控制科学与工程系,黑龙江哈尔滨150001

出　　处：《电机与控制学报》2002年第4期328-332,共5页Electric Machines and Control

基　　金：国家自然科学基金资助项目(69874008)

摘　　要：研究了一类同时具有时变状态时滞和凸多面体不确定性的连续时间系统的广义H2控制问题。采用线性矩阵不等式技术推导了此类不确定系统的鲁棒L2-L∞状态反馈控制器存在的充分条件,并将控制器的设计转化为一个凸优化的求解问题。所设计的控制器能够保证相对于所有能量有界的外界扰动信号,闭环系统的L2—L∞性能指标小于一定值。数值仿真验证了所提出方法的可行性。This paper is concerned with the robust GH2 control problem for linear continuous-time systems with a single delay in the state and parameter uncertainties residing in a polytope. Attention is focused on the design of robust state feedback controllers guaranteeing a prespecified L2-L∞ performance for the closed system with respect to all energy-bounded input signals. Sufficient conditions for the existence of such controllers are established in terms of linear matrix inequalities, upon which the design of admissible controllers is cast into a convex optimization problem. Numerical example is provided to demonstrate the validity of the controller design procedure.

关 键 词：时滞不确定系统 广义H2控制 鲁棒控制 L2-L∞性能 线性矩阵不等式 多面体不确定性 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程] O231[自动化与计算机技术—控制科学与工程]