针对一类不确定多时滞中立型非线性系统,在其非线性不确定项的范数有界,但其上界未知的情况下,论证了自适应鲁棒控制器存在的条件;并给出了能适应未知参数变化且使得最终闭环系统一致最终有界的鲁棒控制律的设计方法;最后,具体算例的仿真结果说明了此法的有效性.
The robust stabilization for a class of nonlinear uncertain neutral systems with multiple time delay is mainly discussed. Because the uncertainty of this class of system is bounded by a linear function of the norm of the delayed states with unknown bounds, an adaptive update law is proposed to estimate the square of these unknown bounds. An adaptive control law is thereafter constructed. It is proved by Lyapunov stability theory that the solution of the closed loop system which includes the original system, the adaptive control law and the update law is uniformly ultimately bounded. Finally, a numerical example is given to demonstrate the effectiveness of the method.