南京理工大学学报（自然科学版）2025，Vol.49Issue(5)：579-590,12.DOI:10.14177/j.cnki.32-1397n.2025.49.05.007
基于等价输入干扰的时滞半马尔可夫跳变系统的扰动抑制研究
Disturbance rejection study of time-delay semi-Markov jump systems based on equivalent input disturbance
摘要
Abstract
Equivalent input disturbance(EID)is a method to counteract the effect of disturbance on the output by equating the effect of external disturbance on the output of the system to the effect of virtual disturbance on the output of the system.A unified control law is designed based on the method of EID for a time-delay semi-Markov jump system,which improves the disturbance rejection performance of the system and the stability of the system.First,the time-varying characteristics of the state transition rates in time-delay semi-Markov jump systems are analyzed,and a system model under external disturbances is established.Next,an external disturbance estimation module is designed,and a state observer based on the EID method estimates the system state signals,and a low-pass filter accurately reconstructs the external disturbance signals.Subsequently,a state-observer-based EID controller design method is proposed.Leveraging Lyapunov stability theory,an appropriate Lyapunov-Krasovskii functional is constructed,and linear matrix inequality(LMI)techniques are employed to rigorously derive sufficient conditions for mean-square exponential stability of the closed-loop system.Furthermore,an innovative controller design algorithm is introduced.Finally,numerical simulations are conducted using MATLAB.Under the proposed controller,both simulation cases and actual cases can achieve rapid convergence and stability of the closed-loop system state.A comparative analysis with a system lacking EID-based disturbance rejection clearly shows significant improvement in steady-state performance under external disturbances,validating the effectiveness of the overall design.关键词
半马尔可夫跳变系统/时滞/等价输入干扰/扰动抑制/线性矩阵不等式Key words
semi-Markov jump systems/time-delay/equivalent input disturbance/disturbance rejection/linear matrix inequality分类
计算机与自动化引用本文复制引用
王鑫明,李博,徐思雨,赵俊杰,杜友武..基于等价输入干扰的时滞半马尔可夫跳变系统的扰动抑制研究[J].南京理工大学学报（自然科学版）,2025,49(5):579-590,12.基金项目
国家自然科学基金(61903166) （61903166）
