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Distributed Model Predictive Control with Actuator Saturation for Markovian Jump Linear System
Authors:Yan Song  Haifeng Lou  Shuai Liu
Affiliation:1. the 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, Shanghai 200093, China;2. the Business School, University of Shanghai for Science and Technology, Shanghai 200093, China
Abstract: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. 
Keywords:Distributed model predictive control (MPC)  actuator saturation  Markovian jump linear system (MJLS)  linear matrix inequality (LMI)
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