一类非仿射非线性时滞系统的动态状态反馈镇定  

Dynamic state feedback stabilization for a class of nonaffine nonlinear systems with unknown time delays

作　　者：刘勇华[1] 黄良沛[1] 肖冬明[1] 郭勇[1] LIU Yong-hua;HUANG Liang-pei;XIAO Dong-ming;GUO Yong(Hunan Provincial Key Laboratory of Health Maintenance for Mechanical Equipment,Hunan University of Science and Technology, Xiangtan Hunan 411201, China)

机构地区：[1]湖南科技大学机械设备健康维护湖南省重点实验室,湖南湘潭411201

出　　处：《控制理论与应用》2016年第7期923-928,共6页Control Theory & Applications

基　　金：国家自然科学基金项目(U1433118;51405156;61572185);湖南省教育厅科研项目(15C0549);湖南科技大学博士科研启动基金项目(E51515)资助~~

摘　　要：本文讨论了一类非仿射非线性时滞系统的全局镇定问题.通过引入辅助积分系统和构造合适的LyapunovKrosovskii泛函,提出了一种基于反推法的时滞无关动态状态反馈控制器,所提控制方法无需时滞的任何先验知识.利用Lyapunov稳定性理论证明了该控制策略能够保证非仿射时滞系统状态渐近收敛于原点,且所有闭环信号全局有界.一个仿真实例进一步验证了所得控制方案的可行性与有效性.We discuss the problem of global stabilization for a class of nonaffine nonlinear systems with unknown time delays. By introducing an auxiliary integrator system and constructing an appropriate Lyapunov-Krosovskii functional, a delay-independent dynamic state feedback controller is explicitly proposed via a backstepping approach, which does not require a priori knowledge of the time delays. Lyapunov stability theory is employed to prove that the states of the nonaffine time delay systems converge asymptotically to the origin and all the closed loop signals are globally bounded. A numerical example is further provided to illustrate the feasibility and effectiveness of the proposed control scheme.

关 键 词：非仿射系统 非线性系统 时滞 动态状态反馈 反推法 Lyapunov-Krosovskii泛函 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]