Finite-time reliable guaranteed cost fuzzy control for discrete-time nonlinear systems

  • Authors:
  • Dedong Yang;Kai-Yuan Cai

  • Affiliations:
  • National Key Laboratory of Science and Technology on Holistic Control, School of Automation Science and Electrical Engineering, Beihang University (Beijing University of Aeronautics and Astronauti ...;National Key Laboratory of Science and Technology on Holistic Control, School of Automation Science and Electrical Engineering, Beihang University (Beijing University of Aeronautics and Astronauti ...

  • Venue:
  • International Journal of Systems Science
  • Year:
  • 2011

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Abstract

The problem of finite-time reliable guaranteed cost fuzzy control for discrete-time nonlinear systems with actuator faults is investigated in this article. We first provide a novel and explicit interpretation for finite-time reliable guaranteed cost fuzzy control. Second, a suitable reliable controller is designed such that the provided performance criterion is satisfied for the normal and possible actuator fault cases. Moreover, the switched Lyapunov function approach is utilised for relaxing the conservatism of these obtained conditions and the related optimisation problem is also offered to minimise the guaranteed cost performance bound. Finally, an illustrative example is given to show the validity of the proposed scheme.