一类非线性时滞输出反馈系统的自适应控制

针对一类参数化非线性时滞输出反馈系统,提出了一种无记忆自适应跟踪控制器的设计方案.采用时滞滤波器估计系统状态,用Domination处理非线性时滞项,应用Backstepping技术设计控制器和参数自适应律.放宽了对时滞项的要求.通过构建一个Lyapunov＿Krasoviskii泛函,证明了闭环系统的稳定性,实现了对目标轨线的渐近跟踪,保证了所有信号一致有界.实例仿真说明了该方案的可行性.

Adaptive control for a class of nonlinear time-delay output-feedback systems

A design approach of memoryless adaptive tracking controller is proposed for a class of parametric nonlinear time-delay output-feedback systems.Time-delay filters are introduced to estimate the states of the system.Domination method is employed to deal with the nonlinear time-delay terms.Backstepping technique is used to design controller and parameters adaptive laws.The requirement on the time-delay terms is relaxed.The stability of the closed-loop system is proved by constructing a Lyapunov-Krasoviskii functional.The asymptotical tracking of given trajectories is achieved and the boundedness of all signals is also guaranteed.The feasibility of the approach is illustrated by a simulation example.