Finite-time stabilization with extended dissipativity via a mixed control strategy for MJSs with hierarchical sensor failures

Based on a mixed control strategy, this study addresses the finite-time stabilization with extended dissipativity for Markov jump systems (MJSs) with unreliable sensors. A hierarchical sensor failure model (HSFM) is developed for the first time to explain a more practical form of distortion degree,...

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Bibliographic Details
Published inNonlinear dynamics Vol. 108; no. 2; pp. 1319 - 1338
Main Authors Chen, Haiyang, Gao, Fangzheng
Format Journal Article
LanguageEnglish
Published Dordrecht Springer Netherlands 01.04.2022
Springer Nature B.V
Subjects
Automotive Engineering
Classical Mechanics
Control
Dynamical Systems
Engineering
Feedback control
Mechanical Engineering
Original Paper
Output feedback
Sensors
Stabilization
Upper bounds
Vibration
MJSs
Static output feedback
Finite-time extended dissipative control
Hierarchical sensor failures
Mismatched modes
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Summary:Based on a mixed control strategy, this study addresses the finite-time stabilization with extended dissipativity for Markov jump systems (MJSs) with unreliable sensors. A hierarchical sensor failure model (HSFM) is developed for the first time to explain a more practical form of distortion degree, which generalizes the current ones by leveraging probabilistic knowledge of sensor defects. To stabilize the MJSs with inaccessible system states, mixed static output feedback controllers (MSOFCs) have been created, which loosen two constraints including (i) the controller’s modes must match with the system’s, and (ii) the mismatch degree must be fixed or constant. Then, new sufficient conditions are found such that the closed-loop system under MSOFCs is finite-time bounded with extended dissipativity for all admissible sensor failures. Because of the proposed HSFM and MSOFCs, the obtained results are less conservative when compared to previous work. In addition, an upper bound assumption is removed during the acquisition of extended dissipativity to improve the design freedom. Finally, two application-oriented examples are used to verify the effectiveness and superiority of the proposed results.
ISSN:0924-090X
1573-269X
DOI:10.1007/s11071-022-07257-1