2019
DOI: 10.1002/rnc.4691
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Integrated fault detection and control for two‐dimensional Markovian jump systems

Abstract: Summary This paper is concerned with the problem of integrated fault detection and control for a class of two‐dimensional (2D) discrete‐time Markovian jump systems. The mathematical model of 2D Markovian jump systems is established upon the well‐known Roesser model, and a faults detection filter/controller is proposed to detect faults and meet some control specifications simultaneously. In this strategy, it takes into account both the fault detection objective and the control objective simultaneously through c… Show more

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Cited by 5 publications
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“…For simplicity, we replace V 2 (s t 1 ,t 2 , 𝛾 t 1 ,t 2 ) with V 2 and based on the sliding surface (10), one has…”
Section: Theorem 2 Consider the 2-d Stochastic Markov Jump Systemmentioning
confidence: 99%
See 4 more Smart Citations
“…For simplicity, we replace V 2 (s t 1 ,t 2 , 𝛾 t 1 ,t 2 ) with V 2 and based on the sliding surface (10), one has…”
Section: Theorem 2 Consider the 2-d Stochastic Markov Jump Systemmentioning
confidence: 99%
“…In general, 2-D systems are formulated mathematically by partial differential or difference equations associated with more than one complex/real variables in continuous-or discrete-time domains. [6][7][8][9][10] Consequently, the fundamental differences with the one-dimensional (1-D) systems immediately arises, and the traditional control theory for 1-D systems cannot be directly extended to 2-D systems. Therefore, many researchers have devoted to the analysis and synthesis of 2-D systems and some attractive results can be found in References 11 and 12.…”
Section: Introductionmentioning
confidence: 99%
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