一类不确定离散系统的混杂状态反馈二次稳定保成本控制  

Hybrid Guaranteed Cost Control with Quadratic Stability for a Class of Uncertain Discrete Systems

作　　者：孙文安[1] 冯佳昕[2] 付俊[1] 赵军[1] 

机构地区：[1]东北大学教育部暨辽宁省流程工业综合自动化重点实验室,辽宁沈阳110004 [2]上海财经大学信息管理与工程学院,上海200433

出　　处：《东北大学学报（自然科学版）》2005年第11期1021-1024,共4页Journal of Northeastern University(Natural Science)

基　　金：国家自然科学基金资助项目(6027400960574013);教育部高等学校博士学科点专项科研基金资助项目(20020145007);辽宁省自然科学基金资助项目(20032020)

摘　　要：针对一类不确定离散系统,对二次稳定保成本控制问题进行了研究.假设存在有限个备选的控制增益已知的控制器,利用公共Lyapunov函数技术,得到了在任意切换下混杂状态反馈二次稳定保成本控制的充分条件.基于单Lyapunov函数的方法,通过在这有限个控制器之间切换给出了混杂状态反馈二次稳定保成本控制的充分条件及切换律的设计方案.最后用仿真验证了这一方法的有效性.Discusses hybrid state feedback guaranteed cost control with quadratic stability for a class of uncertain discrete systems of which the state matrix contains time-varying uncertainties. Assuming that there is a limited number of candidate controllers with known gain matrices and using the common Lyapunov function, a sufficient condition is derived to hybrid guaranteed cost control with quadratic stability under arbitrary switching laws. Then, based on the single Lyapunov function method, relevant sufficient conditions and conceptual design of switching rule are both given. A simulation demonstrated the effectiveness of the proposed method.

关 键 词：离散系统 混杂状态反馈 保成本控制 切换律 LYAPUNOV函数 二次稳定 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]