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Static output feedback control of uncertain systems over uncertain communication links with guaranteed H ∞ performance
Author(s) -
Haghighi Payam,
Tavassoli Babak
Publication year - 2020
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.5357
Subject(s) - control theory (sociology) , markov chain , lossy compression , network packet , bounded function , markov process , networked control system , dropout (neural networks) , telecommunications network , computer science , robust control , channel (broadcasting) , control system , control (management) , mathematical optimization , mathematics , engineering , telecommunications , computer network , mathematical analysis , statistics , machine learning , artificial intelligence , electrical engineering
Abstract This article is concerned with the problem of robust static output feedback H ∞ control for networked control systems (NCSs) by considering uncertainties in both controlled‐plant and communication subsystems. Markov chains are employed to model the bounded random network‐induced delays occurring in the communication channels. This modeling framework can be used to describe the packet dropout phenomena over a lossy communication channel as well. It is assumed that the transition probabilities of the Markov chains are uncertain but lying within given intervals. By utilizing the augmentation technique, the NCS model is transformed into a delay‐free Markovian jump linear system. A new sufficient condition is derived for the problem of robust H ∞ control using static output feedback in NCSs with network‐induced delays. This design condition is expressed in terms of linear matrix inequalities without requiring any constraints on the matrix variables. Furthermore, the proposed method is extended to the case of NCSs with bounded Markovian packet dropouts. Numerical examples are provided to make comparisons with other works and demonstrate the advantages of the proposed method.