一类不确定离散多时滞大系统稳定控制和保成本分析  

Robust Stability Control and Guaranteed Cost Analysis on a Class of Uncertain Discrete-time Large-Scale Systems with Multiple Time Delays

作　　者：李阳[1,2] 

机构地区：[1]辽宁石油化工大学理学院,辽宁抚顺113001 [2]东北大学物流优化与控制研究所,沈阳110004

出　　处：《内蒙古大学学报（自然科学版）》2015年第2期196-203,共8页Journal of Inner Mongolia University：Natural Science Edition

基　　金：国家自然科学基金资助项目(20273028)

摘　　要：在不确定范数有界的情况下,给出了一类大规模不确定离散多时滞系统的鲁棒稳定性新的充分条件,进一步给出相应的保成本控制.采用Lyapunov方法,结合线性和双线性矩阵不等式(LMI和BMI)技术,设计出闭环系统的状态反馈鲁棒控制器,给出保成本凸优化算法流程.最后通过仿真案例验证了该方法的正确性和有效性.Focusing on a class of norm-bounded uncertain discrete-time systems with multiple delay,new sufficient conditions are presented to guarantee the robust stability of the large scale system,and then the relative guaranteed cost is proposed.By using Lyapunov method and matrix inequalities（LMI or BMI）,a state feedback robust controller is designed for the closed loop system.An effective program and convex optimization algorithm program for the guaranteed cost are offered.In the end,a simulation case is provided to illustrate the correctness and the effectiveness of the proposed theoretical results.

关 键 词：离散系统 多时滞 鲁棒稳定 LMI BMI 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]