Active fault tolerant control for switched positive linear systems

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...

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Bibliographic Details
Published in:International journal of robust and nonlinear control 2019-09, Vol.29 (14), p.4971-4984
Main Authors: Sobhanipour, Hossein, Afzalian, Ali A.
Format: Article
Language:English
Subjects:
Active control
active fault tolerant control
Control stability
data communication network
fault estimation
Fault tolerance
Linear systems
Mathematical analysis
matrix inequality
Matrix methods
Optimization
State estimation
switched positive system
Theorems
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Summary: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.
ISSN:1049-8923
1099-1239
DOI:10.1002/rnc.4662