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Real-time guaranteed cost control of MIMO networked control systems with packet disordering
Authors:Jinna Li  Qingling ZhangHaibin Yu  Min Cai
Affiliation:a Department of Science, Shenyang University of Chemical Technology, Shenyang, Liaoning 110142, PR China
b Key Lab of Industrial Informatics, Shenyang Institute of Automation, Chinese Academy of Sciences, Shenyang, Liaoning 110016, PR China
c Institute of Systems Science, Northeastern University, Shenyang, Liaoning 110004, PR China
d School of Science, Dalian Jiaotong University, Dalian, Liaoning 116028, PR China
Abstract:This paper discusses guaranteed cost control for multi-input and multi-output (MIMO) networked control systems (NCSs) with multi-channel packet disordering. Considering the time-varying and bounded network transmission delay, packet dropout and packet disordering, a novel model of NCSs is proposed by introducing the concept of packet displacement. It is worthwhile mentioned that this model can fully describe the dynamic characteristic of network and always guarantee the newest control input executed by the plant, which makes that the plant can be controlled in real time. The resulting closed-loop systems are jump linear systems due to the newest signals executed subject to Markovian chains. A real-time controller is designed for uncertain and certain NCSs based on Markovian theory combined with linear matrix inequality (LMI) techniques such that the closed-loop cost function value is not more than a specified upper bound that varies according to Quality of Services (QOS). Finally, numerical examples are given to illustrate the effectiveness of the proposed method.
Keywords:Networked control systems   Multiple input and multiple output   Packet disordering   Guaranteed cost control   Stochastic stability
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