Stochastic stabilization of Markovian jump cloud control systems based on max-plus algebra  

作　　者：WANG Jin YANG Hongjiu XIA Yuanqing YAN Ce 

机构地区：[1]School of Electrical and Information Engineering,Tianjin University,Tianjin 300072,China [2]School of Automation,Beijing Institute of Technology,Beijing 100081,China

出　　处：《Journal of Systems Engineering and Electronics》2022年第4期827-834,共8页系统工程与电子技术（英文版）

基　　金：supported by the National Natural Science Foundation of China (61973230);Tianjin Research Innovation Project for Postgraduate Students (2021YJSO2S03)。

摘　　要：In this paper, stochastic stabilization is investigated by max-plus algebra for a Markovian jump cloud control system with a reference signal. For the Markovian jump cloud control system, there exists framework adjustment whose evolution is satisfied with a Markov chain. Using max-plus algebra, a maxplus stochastic system is used to describe the Markovian jump cloud control system. A causal feedback matrix is obtained by exponential stability analysis for a causal feedback controller of the Markovian jump cloud control system. A sufficient condition is given to ensure existence on the causal feedback matrix of the causal feedback controller. Based on the causal feedback controller, stochastic stabilization in probability is analyzed for the Markovian jump cloud control system with a reference signal.Simulation results are given to show effectiveness of the causal feedback controller for the Markovian jump cloud control system.

关 键 词：Markovian jump cloud control system causal feedback controller max-plus algebra max-product algebra stochastic stabilization 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]