| 27 | 0 | 58 |
| 下载次数 | 被引频次 | 阅读次数 |
针对奇异马尔可夫跳变系统的容许性问题，提出一种基于事件触发的模态分离控制方法。首先，为平衡传统控制器在实用性与保守性间的矛盾，提出模态分离策略，通过划分模态子集并设计组合增益，降低了对实时模态信息的严苛依赖。其次，针对网络通信带宽约束，设计模态子集切换的事件触发机制，实现控制器模态的异步按需更新，大幅节约了通信资源。在此基础上，结合奇异系统的代数约束特性，利用Lyapunov稳定性理论推导出闭环系统正则性，无脉冲性且几乎必然指数容许的充分条件，将其转化为易于求解的线性矩阵不等式。最后，通过数值仿真验证了该控制方案的有效性。
Abstract：This paper focuses on the admissibility problem for singular Markov jump systems and proposes an event triggered mode separation control method. Firstly,it proposes a mode separation strategy strike a balance between the practicality and conservatism of traditional controllers,which partitions the system modes into subsets and designing composite gains and significantly alleviates the strict dependence on real time mode information. Secondly,in order to accommodate network communication bandwidth constraints,it designs an event triggered mechanism based on mode subset switching,which realizes the asynchronous on demand updating of the controller modes and substantially reduces communication resources.Subsequently,by adopting Lyapunov stability theory,it combines the algebraic constraint characteristics of singular systems to derive the sufficient conditions for the regularity,impulsivity free nature and almost necessarily exponential admissibility of the closed loop system,transforming them into easily solvable linear matrix inequalities. Finally,it conducts numerical simulations to verify the effectiveness of the proposed method.
[1]LIU G B,ZHANG A B,YAN X M,et al. Robust data driven load frequency control of interconnected power systems with Markovian jump parameters[J]. Electronic Research Archive,2025,33(10):6538~6557.
[2]YANG H Y,Yin S. Reduced order sliding mode observer based fault estimation for Markov jump systems[J]. IEEE Transactions on Automatic Control,2019,64(11):4733~4740.
[3]LI Y K,CHEN M,SHI P,et al. Stochastic anti disturbance flight control for helicopter systems with switching disturb ances under Markovian parameters[J]. IEEE Transactions on Aerospace and Electronic Systems,2023,59(3):2933~2946.
[4]WU X T,SHI P,TANG Y,et al. Stability analysis of semi Markov jump stochastic nonlinear systems[J]. IEEE Transactions on Automatic Control,2022,67(4):2084~2091.
[5]LI Y B,KAO B H,Park J H,et al. Observer based mode independent integral sliding mode controller design for phase type semi Markov jump singular systems[J]. International Journal ofRobust and Nonlinear Control,2019,29:5213~5226.
[6]QI W H,ZHOU Y Y,ZHANG L H,et al. Non fragile H∞SMC for Markovian jump systems in a finite time[J]. Journal of The Franklin Institute,2021,358(9):4721~4740.
[7]DING K,ZHU Q X. Extended dissipative anti disturbance control for delayed switched singular semi Markovian jump systems with multi disturbance via disturbance observer[J]. Automatica,2021,128:109556.
[8]盛立，杨慧中．一类离散Markov跳变奇异系统的镇定控制[J]．控制与决策，2010,2(8):1189~1194.
[9]WANG B,ZHU Q X,LI S B,et al. Stabilization of hidden Markov jump singular systems with limit mode switching information[J]. IEEE Transactions on Automatic Control,2025,70(5):3410~3416.
[10]ZHANG L,SHEN Z H,ZHAO N,et al. Adaptive neural sliding mode control based real time security reachable set control of Markov jump cyber-physical systems against actuator attacks[J]. IEEE Transactions on Systems,Man,and Cybernetics:Systems,2026,56(3):1999~2010.
[11]WANG G L,ZHANG Q L,YANG C Y. Fault tolerant control of Markovian jump systems via a partially mode available but unmatched controller[J]. Journal of the Franklin Institute,2017,354(17):7717~7731.
[12]WANG G L. Mode-independent control of singular Markovian jump systems:A stochastic optimization viewpoint[J].Applied Mathematics and Computation,2016,286:155~170.
[13]曹云嘉，刘永超，肖钧文，等．网络化非线性系统的自适应动态事件触发控制[J]．系统科学与数学，2026:1~11.
[14]CAO Z RNIU Y GZOU Y Y. Self triggered multi mode control of Markovian jump systemsJ. Automatica2023149110837.
[15]祝超群，魏金金，罗英瑞．混合攻击下马尔可夫跳变神经网络事件触发异步滑模控制[J]．北京航空航天大学学报，2026,1~25.
[16]WU Y M,XU M,ZHENG N,et al. Event triggered resilient consensus for multi agent networks under deception attacks[J]. IEEE Access,2020,8:78121~78129.
[17]DONGY,TIAN E G,HAN Q L. A delay system method for designing event triggered controllers of networked control systems[J]. IEEE Transactions on Automatic Control,2013,58(2):475~481.
基本信息:
中图分类号:O211.62;O231
引用信息:
[1]范岩松,严昊,赵颖,等.奇异马尔可夫跳变系统的事件触发控制：模态分离方法[J].湖北师范大学学报(自然科学版)().
基金信息:
国家自然科学基金(62273004、62403006、12501609); 安徽省自然科学基金(2408085QF184、250808QA035)
2026-09-14
2026-09-14
2026-09-14