一类随机非线性系统的有限时间H_(∞)控制  

Finite-time H∞control of a class of stochastic nonlinear systems

作　　者：王冠正 赵峰 陈向勇[1,2] 邱建龙 WANG Guan-zheng;ZHAO Feng;CHEN Xiang-yong;QIU Jian-long(School of Automation and Electrical Engineering,Linyi University,Linyi Shandong 276000,China;Key Laboratory of Complex Systems and Intelligent Computing,Linyi University,Linyi Shandong 276005,China)

机构地区：[1]临沂大学自动化与电气工程学院,山东临沂276000 [2]临沂大学复杂系统与智能计算重点实验室,山东临沂276005

出　　处：《控制理论与应用》2023年第2期291-296,共6页Control Theory & Applications

基　　金：国家自然科学基金项目(12026235,12026234,61877033,61903170,61833005,11805091,62173175);山东省自然科学基金项目(ZR2019BF045,ZR2019MF021,ZR2019QF004)资助。

摘　　要：本文研究一类随机非线性系统的有限时间H∞控制问题.考虑闭环系统在有限时间间隔内的瞬态性能和抗干扰能力,对伊藤型随机非线性系统进行了研究.利用Lyapunov函数和线性矩阵不等式(LMI)得到了系统满足均方有限时间有界的充分条件,进一步设计了有限时间H∞控制器,并给出了系统满足均方有限时间有界和相应H∞性能的充分条件.最后给出了两个例子验证了该方法的有效性和可行性.This paper studies the finite-time H∞control problem for a class of stochastic nonlinear systems.Considering the transient performance and anti-interference ability of the closed-loop system within a finite time interval,the Itˆo-type stochastic nonlinear systems are studied.By constructing the Lyapunov function and linear matrix inequality(LMI),suffi-cient conditions for the system to satisfy the mean-square finite-time bounded are obtained.The finite-time H∞controller is further designed,and sufficient conditions for the system to satisfy both the mean-square finite-time bounded and the corresponding H∞control performance are given.Finally,two examples are given to verify the feasibility and effectiveness of the method.

关 键 词：随机非线性系统 有限时间控制 H∞控制 状态反馈 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]