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Fault estimation and tolerant control for discrete‐time switched systems with sojourn probabilities
Author(s) -
Sakthivel Rathinasamy,
Joby Maya,
Santra Srimanta,
Ren Yong
Publication year - 2017
Publication title -
international journal of adaptive control and signal processing
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.73
H-Index - 66
eISSN - 1099-1115
pISSN - 0890-6327
DOI - 10.1002/acs.2801
Subject(s) - control theory (sociology) , observer (physics) , discrete time and continuous time , actuator , controller (irrigation) , fault tolerance , linear matrix inequality , fault (geology) , lyapunov function , computer science , a priori and a posteriori , fault detection and isolation , mathematics , mathematical optimization , control (management) , statistics , nonlinear system , distributed computing , philosophy , physics , epistemology , quantum mechanics , artificial intelligence , seismology , agronomy , biology , geology
Summary This paper addresses the issue of fault estimation and accommodation for a discrete‐time switched system with actuator faults. Here, we assume that the sojourn probabilities are known a priori. By using the reduced‐order observer method, the sojourn probability approach, and the Lyapunov technique, a fault estimation algorithm is obtained for the considered system. The main objective of this work is to design a dynamic output feedback fault‐tolerant controller based on the obtained fault estimation information such that the closed‐loop discrete‐time switched system with available sojourn probabilities is robustly mean‐square stable and satisfies a prescribed mixed H ∞ and passivity disturbance attenuation level in the presence of actuator faults. More precisely, a dynamic output feedback fault‐tolerant controller is established in terms of linear matrix inequalities. Finally, numerical examples are provided to illustrate the usefulness and effectiveness of the proposed design technique.