Journal
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS
Volume 64, Issue 1, Pages 170-181Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TCSI.2016.2605685
Keywords
Nonlinear systems; output feedback control; piecewise Markovian lyapunov function; T-S fuzzy affine systems
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Funding
- National Natural Science Foundation of China [61503091, 61374031, 61522306]
- China Postdoctoral Science Foundation [2016T90270, 2015M570282]
- Postdoctoral Science Foundation of Heilongjiang Province [LBH-Z14056]
- Harbin Special Funds for Technological Innovation Research [2014RFQXJ067]
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This article studies the robust and reliable H-infinity static output feedback (SOF) control for nonlinear systems with actuator faults in a descriptor system framework. The nonlinear plant is characterized by a discrete-time Takagi-Sugeno (T-S) fuzzy affine model with parameter uncertainties, and the Markov chain is utilized to describe the actuator-fault behaviors. Specifically, by adopting a state-output augmentation approach, the original system is firstly reformulated into the descriptor fuzzy affine system. Based upon a novel piecewise Markovian Lyapunov function (LF), the H-infinity performance analysis condition for the underlying system is then presented, and furthermore the robust and reliable SOF controller synthesis is carried out. It is shown that by invoking the redundancy properties induced by the descriptor formulation, combined with some convexifying techniques, the existence of the desired reliable controller can be explicitly determined by the solution of a convex optimization problem. Finally, simulation studies are applied to confirm the effectiveness of the developed method.
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