Journal
CIRCUITS SYSTEMS AND SIGNAL PROCESSING
Volume 37, Issue 1, Pages 81-97Publisher
SPRINGER BIRKHAUSER
DOI: 10.1007/s00034-017-0547-0
Keywords
Nonlinear systems; Singular systems; Reliable output feedback control; T-S fuzzy-affine systems; Mode-dependent Lyapunov function
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Funding
- National Natural Science Foundation of China [61503091, 61522306]
- China Postdoctoral Science Foundation [2016T90270, 2015M570282]
- Postdoctoral Science Foundation of Heilongjiang Province [LBH-Z14056]
- State Key Laboratory of Robotics and Systems of Harbin Institute of Technology [SKLRS-2017-KF-02]
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This article presents a singular system approach to the reliable H-infinity static output feedback (SOF) control for continuous-time nonlinear systems with Markovian jumping actuator faults. The approximation of nonlinear plants is carried out in a Takagi-Sugeno fuzzy-affine (FA) environment, and the Markov chain is adopted to characterize the actuator failure phenomenon. Specifically, by utilizing a singular model transformation strategy, the traditional closed-loop system is converted into a singular FA system. With the construction of a mode-dependent Lyapunov function, and invoking S-procedure and some convexifying techniques, the reliable piecewise SOF controller design is then carried out for the underlying systems via a convex program. An illustrative example is finally given to show the efficacy of the developed method.
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