具有确定逼近域的自适应模糊DSC控制

Adaptive Fuzzy DSC Control with Definite Approximation Domain

针对一类不确定非线性时滞系统,提出了一种具有确定逼近域的自适应模糊控制器的设计方案。在动态面控制(DSC)的基础上,通过时滞代换技巧,使得自适应模糊逼近器的输入为参考信号,从而可以明确定义逼近域,同时可以处理系统中完全未知的时滞信号。基于Lyapunov-Krasovskii范函,证明闭环系统所有信号为半全局一致有界的,并且跟踪误差可以收敛到原点附件的一个小邻域内。仿真结果进一步说明了该方法的有效性。

For a class of uncertain nonlinear time delay systems, an adaptive fuzzy controller design approach with certain approximation domain is proposed. Based on DSC control design approach, the inputs of adaptive fuzzy approximator are replaced by reference signals through delay replacement technique, so that the approximation domain can be defined, and the completely unknown delay signals in the systems can be dealt with at the same time. Based on Lyapunov-Krasovskii functional, all the closed loop signals are proven to be semiglobally ultimately bounded, and the tracking error can converge to a small neighborhood of the equilibrium. The feasibility of this control approach is further illustrated by the simulation result.