非线性时滞系统状态反馈跟踪控制

针对一类严格反馈非线性时滞系统,采用反推(backstepping)技术,提出了一种状态反馈跟踪控制器的设计方案.采用占有(domination)方法处理系统的非线性时滞函数.在系统非线性函数满足Lipschitz条件的假设下,实现对给定参考信号的全局渐近跟踪,并保证了闭环系统所有信号一致有界.通过构建一个Lyapunov-Krasoviskii泛函,证明了闭环系统的稳定性.最后,通过一个仿真实例说明了所提方案的可行性.

State Feedback Tracking Control for Nonlinear Time-Delay Systems

A design approach to state feedback tracking controller is proposed for a class of strict feedback nonlinear time-delay systems by means of backstepping technique.Domination method is used to deal with nonlinear time-delay functions.Under the assumption that the nonlinear time-delay functions of systems satisfy Lipschitz condition,globally asymptotical tracking of the given reference signal is achieved and the bound of all signals of the resulted closed-loop system is also guaranteed.By constructing a Lyapunov-Krasoviskii functional,stability of the closed-loop system is proved.Feasibility of the proposed approach is shown in a simulation example.