Full State Constrained Adaptive Fuzzy Control for Stochastic Nonlinear Switched Systems with Input Quantization

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Abstract

In this paper, a fuzzy adaptive full state constrained control approach is proposed for a class of stochastic switched systems subject to quantized input signals and actuator faults. The inherent discontinuous and hybrid characteristics of the concerned systems lead to a difficult task for designing a stable controller. Several fuzzy logic systems are utilized to approximate the unknown nonlinearities and the bound estimation approach is employed to deal with the stochastic switched disturbances. As a result, the negative effects caused by the discontinuous multiple uncertainties can be suppressed. Furthermore, several four-order Barrier Lyapunov Functions are introduced to guarantee that the constraints of the system states are not violated. It is proved that all the signals in the closed-loop system is semiglobally uniformly ultimately bounded. Numerical simulation results have been provided to illustrate the satisfactory performance of the proposed control algorithm.

Original languageEnglish
Article number8693755
Pages (from-to)645-657
Number of pages13
JournalIEEE Transactions on Fuzzy Systems
Volume28
Issue number4
DOIs
StatePublished - Apr 2020

Keywords

  • Actuator faults
  • adaptive backstepping control
  • Barrier Lyapunov Functions (BLFs)
  • fuzzy logic
  • quantized inputs

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