Stability Condition of Discretized Equivalent Control Based Sliding mode Controller for Second-Order Systems with external disturbance

  • Son, Sung-Han (Department of Control and Instrumentation Engineering, Korea University) ;
  • Kim, Mi-Ran (Department of Control and Instrumentation Engineering, Korea University) ;
  • Park, Kang-Bak (Department of Control and Instrumentation Engineering, Korea University) ;
  • Tsuji, Teruo (Department of Electrical Engineering, Kyushu Institute of Technology)
  • Published : 2005.06.02

Abstract

A novel sufficient condition of discretized equivalent control based sliding mode controller (SMC) for a second-order system with external disturbance to be globally uniformly ultimately bounded (GUUB) is proposed. The proposed stability condition guarantees that the system state is always GUUB in the presence of disturbance. The ultimate bounds of the system state variables are also derived.

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