安徽工程大学学报2025，Vol.40Issue(5)：43-48,6.
一类非线性离散系统的镇定与跟踪控制
Stabilization and Tracking Control of a Class of Nonlinear Discrete-time Systems
摘要
Abstract
The stabilization and tracking control of a class of nonlinear discrete-time systems with external disturbances are studied.In order to reduce the requirement of the system such as smoothness,avoid complicated calculation and retain the useful information of the system,the generalized binary Lipschitz condition is proposed for nonlinear systems.When the nonlinear part of the dynamical system satisfies the generalized binary Lipschitz condition,a feedback controller is firstly designed to ensure that the given system is globally asymptotically stable.Secondly,the tracking controller of the system is proposed,and the sufficient conditions for the systems,globally asymptotic stability of the output tracking are obtained.Finally,the results are given in the form of linear matrix inequality(LMI),and the effectiveness of the results is verified by numerical simulation.关键词
非线性系统/Lyapunov稳定性/离散系统/跟踪控制Key words
nonlinear system/Lyapunov stability/discrete-time system/tracking control分类
数理科学引用本文复制引用
田凤玲,姚玉武,闫晓辉,朱婷婷,孙怀辉..一类非线性离散系统的镇定与跟踪控制[J].安徽工程大学学报,2025,40(5):43-48,6.基金项目
国家自然科学基金项目(12201172) （12201172）
安徽省自然科学基金项目(2022AH051790) （2022AH051790）
合肥大学人才科研基金项目(20RC27) （20RC27）
