A Piecewise-Markovian Lyapunov Approach to Reliable Output Feedback Control for Fuzzy-Affine Systems With Time-Delays and Actuator Faults | IEEE Journals & Magazine | IEEE Xplore

A Piecewise-Markovian Lyapunov Approach to Reliable Output Feedback Control for Fuzzy-Affine Systems With Time-Delays and Actuator Faults


Abstract:

This paper addresses the problem of delaydependent robust and reliable H∞ static output feedback (SOF) control for a class of uncertain discrete-time Takagi-Sugeno fuzzy-...Show More

Abstract:

This paper addresses the problem of delaydependent robust and reliable H 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 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.
Published in: IEEE Transactions on Cybernetics ( Volume: 48, Issue: 9, September 2018)
Page(s): 2723 - 2735
Date of Publication: 04 December 2017

ISSN Information:

PubMed ID: 29990210

Funding Agency:


References

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