A Novel Approach to Reliable Control of Piecewise Affine Systems With Actuator Faults
- 16 November 2016
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Circuits and Systems II: Express Briefs
- Vol. 64 (8), 957-961
- https://doi.org/10.1109/tcsii.2016.2629663
Abstract
This brief is devoted to the reliable piecewise affine (PWA) H ∞ static output feedback control problem for PWA systems with actuator faults. The actuator faults are characterized by a Markov process. Specifically, by adopting a state-input augmentation technique, the original closed-loop system is first reformulated into a descriptor PWA system. On the basis of a piecewise-Markovian Lyapunov function, and by exploiting advantage of the redundancy of descriptor system formulation, together with a linearization procedure, the PWA controller synthesis is then presented. It is shown that the desired PWA controller parameters can be attained via solving a linear matrix inequality-based optimization problem. Finally, a simulation example is carried out to confirm the effectiveness and less conservatism of the developed approach.Keywords
Funding Information
- National Natural Science Foundation of China (61374031, 61522306, 61503091)
- China Post-Doctoral Science Foundation (2016T90270, 2015M570282)
- Post-Doctoral Science Foundation of Heilongjiang Province (LBH-Z14056)
- Harbin Special Funds for Technological Innovation Research (2014RFQXJ067)
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