非线性随机混杂系统的鲁棒耗散控制  

Robust Dissipative Control of Nonlinear Stochastic Hybrid System

作　　者：夏国坤[1] 林忠伟[2] 

机构地区：[1]天津科技大学理学院,天津300457 [2]华北电力大学控制与计算机工程学院,北京102206

出　　处：《天津科技大学学报》2012年第2期74-78,共5页Journal of Tianjin University of Science & Technology

摘　　要：针对一类带有多维噪声的带范数有界不确定项的非线性随机混杂系统,通过构造随机跳变系统的随机耗散性理论,给出了该类系统的耗散性定义、耗散不等式,以及系统保证耗散性的充分条件.在此基础上,针对带范数有界不确定项的非线性随机混杂系统,进行鲁棒状态反馈耗散控制,即通过求解线性矩阵不等式,设定状态反馈鲁棒控制器,使得在此控制作用下闭环系统满足耗散性.Aimed at a class of nonlinear stochastic hybrid systems with norm-bounded uncertainties under multi- dimensional Wiener noise, the dissipativity definition, the dissipative inequality and the sufficient conditions of dissipativity were determined, through establishing a corresponding stochastic dissipativity theory. Based on this dissipativity theory, the robust statefeedback dissipative control of the nonlinear stochastic hybrid system with norm-bounded uncertainties was designed, that is, through solving a set of linear matrix inequalities （LMIs）, the robust state feedback dissipative control can be worked out to guarantee the dissipativity of a closed loop system.

关 键 词：非线性系统 随机系统 混杂系统 鲁棒控制 

分 类 号：O231[理学—运筹学与控制论]