具有执行器饱和及状态时滞系统的混杂控制  

Hybrid control of continuous systems with actuator saturation and state time-delay

作　　者：景丽[1] 韩双微 

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）》2016年第2期154-159,共6页Journal of Shenyang Normal University:Natural Science Edition

基　　金：Project supported by Department of Education of Liaoning Province（L2014435）

摘　　要：实际系统在控制中容易发生执行器饱和及状态时滞问题,这影响系统的稳定性能,给系统带来不可预想的严重后果。为了解决这类问题,研究具有执行器饱和及时滞的连续系统鲁棒控制问题。通过引进辅助矩阵,使系统的控制输入被限制在凸多面体内,系统的饱和非线性函数因而得以处理：采用混杂控制的方法设计了系统控制输入,控制输入与系统构成的闭环系统是切换系统：进一步依据单Lyapunov函数方法镇定系统：最后进行了Matlab数值仿真。提出混杂控制下系统稳定的充分条件及系统切换方案,给出估计系统的最大吸引域方案。结论相比凸组合方法具有较少的保守性,仿真显示所提出的方法可以使系统在较短时间内渐近稳定于原点,且系统具有较大的吸引域。In controlling of practical systems actuator saturation and time-delay problems often happen.These badly make effects on the stability of systems.Thus systems may face serious accidents.To solve these problems the paper studies the robust stabilization problem of continuous systems with actuator saturation and state time-delay.By introducing auxiliary matrices,control input of the system is limited in convex polyhedron.So the nonlinear saturation function is dealt with into linear function.Hybrid controllers are designed and the closed loop of the system is a kind of switched system.Then single Lyapunov function based approach is used to stabilize it.A numerical simulation is done.The results we get include：a sufficient condition for the stability of continuous system,the switching strategy for the systems under hybrid control.The paper also proposes an estimation scheme of the maximum attraction domain for the system and expresses it into LMI.The results show the method given in this paper is less conservative comparing to convex combination method.The simulation shows a system can be asymptotically stable at the origin in a short time and the domain of attraction is larger.

关 键 词：连续系统 执行器饱和 时滞系统 混杂控制 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]