A Novel Approach to Reliable Output Feedback Control of Fuzzy-Affine Systems with Time Delays and Sensor Faults

Yanling Wei, Jianbin Qiu, Hak Keung Lam

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94 Citations (Scopus)
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This paper proposes a novel system-augmentation approach to the delay-dependent reliable piecewise-affine \H- static output feedback control for nonlinear systems with time-varying delay and sensor faults in the piecewise-Markovian-Lyapunov-functional-based framework. The nonlinear plant is described by a continuous-time Takagi-Sugeno fuzzy-affine model with parametric uncertainties, and the sensor faults are characterized by a Markov process. Specifically, by applying a state-input augmentation technique, the original closed-loop system is first reformulated into a descriptor fuzzy-affine system. Based on a new piecewise-Markovian Lyapunov-Krasovskii functional, combined with a Wirtinger-based integral inequality, improved reciprocally convex inequality, and S-procedure, a novel bounded real lemma is then derived for the underlying closed-loop system. Furthermore, by taking advantage of the redundancy of descriptor system formulation, together with a linearization procedure, the piecewise-affine controller synthesis is carried out. It is shown that the desired piecewise-affine controller gains can be attained by solving a linear matrix inequality based optimization problem. Finally, simulation examples are performed to confirm the effectiveness and less conservatism of the presented approach.

Original languageEnglish
Article number7762153
Pages (from-to)1808-1823
Number of pages16
JournalIEEE Transactions on Fuzzy Systems
Issue number6
Publication statusPublished - 1 Dec 2017


  • Output feedback control
  • piecewise-Markovian Lyapunov functional
  • Takagi-Sugeno (T-S) fuzzy-affine systems
  • time-varying delay


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