南京理工大学学报（自然科学版）2025，Vol.49Issue(5)：567-578,12.DOI:10.14177/j.cnki.32-1397n.2025.49.05.006
奇异马尔可夫跳变时滞系统的静态输出反馈控制
Static output feedback control of singular Markov jump time-delay system
何克武 1嵇小辅2
作者信息
- 1. 江南大学物联网工程学院,江苏 无锡 214122
- 2. 江南大学轻工过程先进控制教育部重点实验室,江苏 无锡 214122
- 折叠
摘要
Abstract
A static output feedback control method is proposed for singular Markov jump time-delay systems subject to unmeasurable state variables and time-varying delays in practical applications.First,the stochastic admissibility of the closed-loop system is rigorously established using the Lyapunov-Krasovskii functional approach and linear matrix inequality(LMI)techniques.Then,to address the challenges posed by the singular structure and nonlinear coupling terms in controller design,stability and system augmentation lemmas are employed to derive equivalent sufficient conditions with reduced conservatism.The proposed method offers a relaxed decoupling scheme for solving the matrix inequalities,leading to broad applicability.Finally,simulations on a load frequency control power system demonstrate that the proposed method can effectively suppress disturbances,reduce communication data volume,and achieve a triggering rate of 32.7%,while ensuring the system's stochastic admissibility.Additionally,the regulation time for frequency deviation is shortened by approximately 17.6%,exhibiting superior H∞ performance metrics that γ*=0.226.关键词
奇异马尔可夫跳变系统/静态输出反馈/时滞系统/线性矩阵不等式Key words
singular Markov jump system/static output feedback/time-delay system/linear matrix inequality分类
计算机与自动化引用本文复制引用
何克武,嵇小辅..奇异马尔可夫跳变时滞系统的静态输出反馈控制[J].南京理工大学学报（自然科学版）,2025,49(5):567-578,12.
