Distributed Model Predictive Control with Actuator Saturation for Markovian Jump Linear System  

作　　者：Yan Song Haifeng Lou Shuai Liu 

机构地区：[1]Department of Control Science and Engineering,University of Shanghai for Science and Technology,Key Laboratory of Modern Optical System,Engineering Research Center of Optical Instrument and System,Ministry of Education [2]Business School,University of Shanghai for Science and Technology

出　　处：《IEEE/CAA Journal of Automatica Sinica》2015年第4期374-381,共8页自动化学报（英文版）

基　　金：supported by National Natural Science Foundation of China(61403254,61374039,61203143);Shanghai Pujiang Program(13PJ1406300);Natural Science Foundation of Shanghai City(13ZR1428500);Innovation Program of Shanghai Municipal Education Commission(14YZ083);Hujiang Foundation of China(C14002,B1402/D1402)

摘　　要：This paper is concerned with the distributed model predictive control (MPC) problem for a class of discrete-time Markovian jump linear systems (MJLSs) subject to actuator saturation and polytopic uncertainty in system matrices. The global system is decomposed into several subsystems which coordinate with each other. A set of distributed controllers is designed by solving a min-max optimization problem in terms of the solutions of linear matrix inequalities (LMIs). An iterative algorithm is developed to achieve the online computation. Finally, a simulation example is employed to show the effectiveness of the proposed algorithm. © 2014 Chinese Association of Automation.This paper is concerned with the distributed model predictive control(MPC) problem for a class of discrete-time Markovian jump linear systems(MJLSs) subject to actuator saturation and polytopic uncertainty in system matrices. The global system is decomposed into several subsystems which coordinate with each other. A set of distributed controllers is designed by solving a min-max optimization problem in terms of the solutions of linear matrix inequalities(LMIs). An iterative algorithm is developed to achieve the online computation. Finally,a simulation example is employed to show the effectiveness of the proposed algorithm.

关 键 词：Actuators ALGORITHMS Iterative methods Linear matrix inequalities Linear systems Markov processes Matrix algebra Model predictive control Optimization Predictive control systems Robustness (control systems) 

分 类 号：O231[理学—运筹学与控制论]