离散时间状态对称系统稳定性与H^∞控制问题  

Stabilization and H∞ control of discrete-time state-space symmetric systems

作　　者：高利新[1] 薛安克[2] 

机构地区：[1]温州师范学院系统科学研究所,浙江温州325035 [2]杭州电子工业学院自动化系,浙江杭州310037

出　　处：《系统工程与电子技术》2005年第2期295-299,共5页Systems Engineering and Electronics

基　　金：国家自然科学基金(60174029);浙江省高校中青年学科带头人项目基金资助课题

摘　　要：研究离散时间对称系统的可稳定和H∞控制的问题。基于在离散对称系统时有界实引理给出的LMI充要条件有单位矩阵解基础上,给出对称输出反馈可稳定问题和H∞控制次优输出反馈问题的可解充要条件。然后给出对称输出反馈可稳定和H∞控制次优输出反馈增益的显式解,而不似一般线性系统需要解一组LMI。最后给出一个数值例子说明方法的有效性。The stabilization and H~∞ control of symmetric systems for discrete-time case are discussed. Based on the fact that sufficient and necessary LMI condition of the bounded real lemma for discrete-time symmetric systems has an identity matrix solution, the sufficient and necessary solvable condition for output feedback stabilization problem and H~∞ control problem is established, then an explicit solution of stabilizing output feedback gains is obtained for the output feedback stabilization problem and the sub-optimal output feedback controllers is obtained for the H~∞ control problem, so there is no need to solve an LMI optimization problem like common linear systems. Finally, a numerical example is given to illustrate the established results.

关 键 词：可稳定 H^∞控制 对称系统 离散系统 线性矩阵不等式 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]