基于Razumikhin方法的时变时滞非线性系统的输出反馈镇定

针对一类时变时滞非线性系统,采用Razumikhin方法研究其输出反馈控制问题.利用时滞系统的Razumikhin定理和反推设计方法,通过设计有效的观测器和选取适当的Lyapunov函数,构造系统的输出反馈控制器.所设计的控制器能够保证闭环系统的平衡点是全局渐近稳定的,所给出的方法无需考虑时滞导数的限制,改进了以前所得结果.仿真示例验证了所设计输出反馈控制器的有效性.

Output-feedback stabilization for nonlinear systems with time-varying delay based on Razumikhin-type approach

The Razumikhin-type approach is introduced to solve the output-feedback stabilization problem for a class of nonlinear systems with time-varying delay. By using the Razumikhin-type theorem and the backstepping design method, effective observers and suitable Lyapunov functions, an output-feedback controller is constructed to ensure the origin of a closed-loop system globally asymptotically stable. The limitations on the derivative of delay can be completely removed, which is the common assumption of nonlinear systems with time-varying delay. A simulation example illustrates the effectiveness of the output-feedback controller.