南京理工大学学报（自然科学版）2025，Vol.49Issue(2)：174-182,9.DOI:10.14177/j.cnki.32-1397n.2025.49.02.005
正奇异半马尔可夫跳变时滞系统的状态反馈执行器饱和控制
State-feedback control for singular positive semi-Markov jump time-delay systems with actuator saturation
摘要
Abstract
To address the common factors of actuator saturation and system time-varying delay in actual engineering,a controller design method for a class of singular positive semi-Markov jump systems(SPSMJS)is proposed.Firstly,a state-feedback controller and an auxiliary function are designed to deal with the impact of actuator saturation on the system.The influence of random jump behavior on the state discontinuity of the mode dependent singular system is deeply analyzed,and an important lemma for stochastic stability is given by matrix decomposition method.Then,based on the saturation lemma and Lyapunov stability theory,a Lyapunov-Krasovskii function is constructed.The sufficient conditions for the mean square exponential stability of closed-loop system are proved by using linear matrix inequality method,and a new controller design algorithm is proposed.Combined with the theorem,an optimization algorithm is designed,which can estimate the maximum attractive domain where the system remains stable under saturation conditions,thus the scope of application of the algorithm can be expanded to the case where the upper bound of the initial value neighborhood of the system is greater than 1.Finally,in a simulation example,the closed-loop system satisfies the conditions of a positive system and rapidly converges to stability within 0-2 s.The controller state curve meets the preset saturation condition of 0.5,indicating that the control algorithm is effective in complex factor systems.Simulation examples demonstrate the effectiveness of the control algorithm.关键词
正系统/执行器饱和/时滞系统/奇异半马尔可夫跳变系统Key words
positive system/actuator saturation/time-delay system/singular semi-Markov jump systems分类
计算机与自动化引用本文复制引用
任雪静,李博,赵俊杰..正奇异半马尔可夫跳变时滞系统的状态反馈执行器饱和控制[J].南京理工大学学报（自然科学版）,2025,49(2):174-182,9.基金项目
国家自然科学基金(11901061 （）
61903166 （）
61803186) （）
