具有饱和输入和非严格反馈结构的切换非线性系统的自适应模糊控制  

Novel Direct Non-Strict Feedback Fuzzy Control for Uncertain Saturation Nonlinear Systems in Switched Form

作　　者：王锐 于福生[3] 赵利云 WANG Rui;YU Fusheng;ZHAO Liyun(School of Applied Mathematics,Shanxi University of Finance and Economics,Taiyuan 030006;School of Electrical Engineering,Korea University,Seoul 02418,Republic of Korea;School of Mathematical Sciences,Beijing Normal University,Beijing 100875;School of Science,Inner Mongolia University of Science and Technology,Baotou 014000)

机构地区：[1]山西财经大学应用数学学院,太原030006 [2]高丽大学电子与电气工程学院,首尔02418 [3]北京师范大学数学科学学院,北京100875 [4]内蒙古科技大学理学院,包头014000

出　　处：《系统科学与数学》2024年第3期622-633,共12页Journal of Systems Science and Mathematical Sciences

基　　金：国家自然科学基金(12102236,11971065,62025303);山西省自然科学基金(20210302124258,202203021211334)资助课题。

摘　　要：针对一类具有非光滑饱和输入和非严格反馈结构的任意切换规则下的非线性切换系统,给出了一种模糊减少计算量控制算法.通过构造公共Lyapunov函数,利用模糊系统对非严格反馈结构和未知不确定函数进行建模,采用辅助函数补偿饱和输入问题,基于逼近最优估计参数的界以减少在线自适应调节参数数目.该控制算法在任意切换规则下不仅可以调节输入饱和不确定性,还可以减少自适应调节参数。基于Lyapunov稳定性理论证明闭环系统的所有信号是有界的.数值仿真结果可以有效地验证控制器和自适应律设计算法的可行性。This paper presents an adaptive direct novel alleviating adjusted parameters fuzzy tracking control algorithm for a class of uncertain saturation switched nonlinear systems under arbitrary switchings in non-strict feedback form.Combined with common Lyapunov function(CLF)method,an auxiliary constructed system is introduced to compensate the input saturation problem.FLSs are designed to model the uncertain nonlinear functions of non-strict feedback systems,by estimating the boundness of the optimal approximation vector and approximation error of the FLSs,the adjusted parameters would be greatly alleviated.Based on Lyapunov theories analysis,it is shown that with the proposed scheme,all the signals in the closed-loop systems are uniformly ultimately bounded,and the system output converges to a small neighborhood of the origin.Simulation results are provided to illustrate the effectiveness of the proposed control approach.

关 键 词：减少计算量控制算法 非严格反馈结构 非线性切换系统 输入饱和 公共Lyapunov 函数 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]