具有执行器饱和切换系统的控制  

Control of switched systems with actuator saturation

作　　者：景丽[1] 董秋阳[1] JING Li DONG Qiuyang(College of Mathematics arid Systems Science, Shenyang Normal University, Shenyang 110034, China)

机构地区：[1]沈阳师范大学数学与系统科学学院,沈阳110034

出　　处：《沈阳师范大学学报（自然科学版）》2017年第2期151-155,共5页Journal of Shenyang Normal University:Natural Science Edition

基　　金：辽宁省教育厅科学研究一般项目(L2014435)

摘　　要：主要研究了一类具有执行器饱和的切换系统的控制问题,探究当切换系统中执行器出现饱和时,系统要达到渐近稳定需要满足的充分条件,并证明所得结论。首先,针对执行器饱和系统,处理饱和项至关重要。利用扇形区域法的思想,成功解决饱和项的处理问题。其次,为系统选择适当的李雅普诺夫函数,进而研究获得执行器饱和切换系统的的渐近稳定判据。然后,为使求解更加方便快捷,对获得系统渐近稳定的充分条件做变形处理,将其转换成线性矩阵不等式形式。最后,进行吸引域大小的估计,结合相应的仿真算例,证明了研究成果是有效可行的。In this paper,we study a class of switched systems with actuator saturation.We mainly explore the stability criterion of the system when actuator saturation exists,and prove the conclusion.Firstly,how to dispose saturation is very important.We dispose saturation by using the sector region method.Secondly,according to the Lyapunov theory,the paper gets the stability criterion.Thirdly,the paper turns the criterion into the inequality in order to solve the problem by LMI tools in Matlab.Finally,the paper estimates the attraction domain of the system.It also provides a numerical example to demonstrate that the conclusion in this paper is effective and feasible.

关 键 词：切换系统 执行器饱和 LYAPUNOV理论 线性矩阵不等式 

分 类 号：O436[机械工程—光学工程]