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Robust model predictive control under redundant channel transmission with applications in networked DC motor systems
Author(s) -
Song Yan,
Wang Zidong,
Ding Derui,
Wei Guoliang
Publication year - 2016
Publication title -
international journal of robust and nonlinear control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.361
H-Index - 106
eISSN - 1099-1239
pISSN - 1049-8923
DOI - 10.1002/rnc.3542
Subject(s) - control theory (sociology) , model predictive control , computer science , reliability (semiconductor) , networked control system , channel (broadcasting) , transmission (telecommunications) , control system , stability (learning theory) , scheme (mathematics) , bandwidth (computing) , robustness (evolution) , control (management) , engineering , mathematics , power (physics) , computer network , biochemistry , chemistry , gene , telecommunications , mathematical analysis , physics , quantum mechanics , artificial intelligence , machine learning , electrical engineering
Summary In networked systems, intermittent failures in data transmission are usually inevitable due to the limited bandwidth of the communication channel, and an effective countermeasure is to add redundance so as to improve the reliability of the communication service. This paper is concerned with the model predictive control (MPC) problem by using static output feedback for a class of polytopic uncertain systems with redundant channels under both input and output constraints. By utilizing the min–max control approach combined with stochastic analysis, sufficient conditions are established to guarantee the feasibility of the designed MPC scheme that ensures the robust stability of the closed‐loop system. In terms of the solution to an auxiliary optimization problem, an easy‐to‐implement MPC algorithm is proposed to obtain the desired sub‐optimal control sequence as well as the upper bound of the quadratic cost function. Finally, to illustrate its effectiveness, the proposed design method is applied to control a networked direct current motor system. Copyright © 2016 John Wiley & Sons, Ltd.