Descriptor state‐bounding observer design for positive Markov jump linear systems with sensor faults: Simultaneous state and faults estimation

Summary This article presents a descriptor observer design approach for positive Markov jump linear systems subject to interval parameter uncertainties and sensor faults. First, by taking the sensor fault term as an auxiliary state, an augmented descriptor system is constructed. A pair of positive o...

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Bibliographic Details
Published in:International journal of robust and nonlinear control Vol. 30; no. 5; pp. 2113 - 2129
Main Authors: Song, Xiaoqi, Lam, James, Chen, Xiaoming, Zhu, Bohao
Format: Journal Article
Language:English
Published: Bognor Regis Wiley Subscription Services, Inc 25.03.2020
Subjects:
Algorithms
descriptor system
Dynamic stability
fault estimation
Faults
Iterative methods
Linear systems
Markov jump linear system
Optimization
Parameter uncertainty
positive system
Robustness (mathematics)
Sensors
state‐bounding observer
ISSN:1049-8923, 1099-1239
Online Access:Get full text
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Summary:Summary This article presents a descriptor observer design approach for positive Markov jump linear systems subject to interval parameter uncertainties and sensor faults. First, by taking the sensor fault term as an auxiliary state, an augmented descriptor system is constructed. A pair of positive observers with state‐bounding feature is then proposed, which enables simultaneous estimation of the system state and sensor faults. A necessary and sufficient condition on existence of the desired state‐bounding observer is derived by considering positivity and robust mean exponential stability of corresponding observer error dynamics. An iterative optimization algorithm is developed for the computation of the optimized observer matrices. Finally, a numerical example is presented to show the validity of the proposed methods.
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ISSN:1049-8923
1099-1239
DOI:10.1002/rnc.4870