基于Razumikhin方法的非线性时滞系统的自适应模糊控制设计

【中文摘要】 为研究一类单输入单输出非线性时滞系统的自适应跟踪控制问题,基于Lyapunov Razumikhin泛函方法给出了一种新的自适应模糊控制器设计方法,利用模糊逻辑系统来估计系统中未知的非线性函数,用backstepping方法来设计跟踪控制器。所设计的自适应模糊控制器能确保所有的闭环信号有界,同时系统输出收敛到所期望轨线的一个小邻域中。仿真例子表明文中所提出的控制方案能够有效地跟踪给定的参考信号。

Neural Adaptive Control Design for Nonlinear Time-Delay Systems Based on Razumikhin Method

This paper focuses on the problem of adaptive fuzzy tracking control for a class of single-input and single-output nonlinear systems with time delay.A novel adaptive fuzzy control scheme is presented based on Lyapunov-Razumikhin functional approach.Fuzzy logic systems are used to approximate the unknown nonlinear function,and backstepping technique is utilized to construct controller.The proposed controller guarantees that all the signals in the closed-loop systems remain bounded,while the output converges into a small neighborhood of the desired trajectory.Finally,the simulation results show the effectiveness of the proposed method.