L_2增益约束下跳变系统鲁棒控制  

Robust control for jump systems with L-two gain constraints

作　　者：刘飞[1] 张曦煌[1] 

机构地区：[1]江南大学自动化研究所,江苏无锡214122

出　　处：《控制理论与应用》2006年第3期373-377,共5页Control Theory & Applications

基　　金：国家自然科学基金资助项目(NSFC60574001);教育部科学技术研究重点资助项目(105088)

摘　　要：不确定跳变系统的L2增益条件与系统可镇定性和鲁棒性密切相关,本文阐述利用依赖于模态的状态反馈鲁棒控制律,以实现闭环系统输入输出L2增益约束的要求,一方面用凸多面体界定跳变系统各模态间的跳变转移率的变化,另一方面,用L2增益界定对象状态方程中时变不确定参数,在一定概率空间下,获得的反馈控制律对不确定跳变概率和时变参数具有鲁棒性.反馈控制律的设计利用线性矩阵不等式技术,通过凸优化计算易于实现,最后给出了数值计算示例.The general quadratic L-two gain analysis of uncertain jump systems plays an important role to its stabilization and robustness. We present a robust control law with mode-dependent state feedback such that the resulting jump system satisfies given input-and-output L-two gain constraints. There are two components of uncertainty. First, the uncertainty of transition rate among different modes is bounded by a convex polytope. Second, the time-varying uncertain parameters of state equation are characterized by a selected L-two gain. Under a probability space, the obtained feedback control law is robust against the uncertainties of transition rate and time-varying parameters. Using linear matrix inequality （LMI） technique and convex optimization computing, we can readily implement the synthesis of feedback control law. Finally, a computing example is given.

关 键 词：跳变系统 L2增益 鲁棒控制 不确定性 凸优化 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]