Journal
IEEE TRANSACTIONS ON CYBERNETICS
Volume 48, Issue 9, Pages 2723-2735Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TCYB.2017.2749239
Keywords
Piecewise Markovian Lyapunov functional; reliable output feedback control; time-varying delay; T-S fuzzy-affine (FA) systems
Categories
Funding
- National Natural Science Foundation of China [61503091, 61522306, 61773131, U1509217]
- State Key Laboratory of Robotics and Systems of Harbin Institute of Technology [SKLRS-2017-KF-02]
- Australian Research Council [DP170102644]
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This paper addresses the problem of delay-dependent robust and reliable H-infinity static output feedback (SOF) control for a class of uncertain discrete-time Takagi-Sugeno fuzzy-affine (FA) systems with time-varying delay and actuator faults in a singular system framework. The Markov chain is employed to describe the actuator faults behaviors. In particular, by utilizing a system augmentation approach, the conventional closed-loop system is converted into a singular FA system. By constructing a piecewise-Markovian Lyapunov-Krasovskii functional, a new H-infinity performance analysis criterion is then presented, where a novel summation inequality and S-procedure are succeedingly employed. Subsequently, thanks to the special structure of the singular system formulation, the piecewise-affine SOF controller design is proposed via a convex program. Lastly, illustrative examples are given to show the efficacy and less conservatism of the presented approach.
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