一类非仿射非线性时滞系统的动态状态反馈镇定

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.

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

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.