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Active fault tolerant control for switched positive linear systems
Author(s) -
Sobhanipour Hossein,
Afzalian Ali A.
Publication year - 2019
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.4662
Subject(s) - control theory (sociology) , observer (physics) , linear matrix inequality , dwell time , fault tolerance , state (computer science) , fault (geology) , computer science , linear system , controller (irrigation) , full state feedback , control (management) , mathematics , mathematical optimization , algorithm , medicine , clinical psychology , distributed computing , mathematical analysis , physics , quantum mechanics , artificial intelligence , seismology , agronomy , biology , geology
Summary The main aim of this paper is to design an active fault tolerant controller for switched positive linear systems. A theorem is proved for fault and state estimation of switched positive linear systems in terms of matrix inequality by considering average dwell‐time approach. By utilizing the theorem results, not only a fast and exact estimation of fault and state is obtained but also the positivity of state estimation is ensured. The feasibility problem is solved by formulating it into a special sequential optimization problem subject to LMI constraints. Based on the fault estimation information, an observer‐based fault tolerant control guaranties the stability and positivity of the closed‐loop system. Finally, a practical example including a data communication network is presented to illustrate the efficiency of the proposed method.