International Journal of Control, Automation, and Systems

Institute of Control, Robotics and Systems (제어로봇시스템학회)
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Multirate Digital Control for Fuzzy Systems: LMI-Based Design and Stability Analysis

  • Kim Do-Wan (Department of Electrical and Electronic Engineering, Yonsei University) ;
  • Park Jin-Bae (Department of Electrical and Electronic Engineering, Yonsei University) ;
  • Joo Young-Hoon (School of Electronic and Information Engineering, Kunsan National University) ;
  • Kim Sung-Ho (School of Electronic and Information Engineering, Kunsan National University)
  • Published : 2006.08.01
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Abstract

This paper studies an intelligent digital control for nonlinear systems with multirate sampling. It is worth noting that the multirate control design is addressed for a given nonlinear system represented by Takagi-Sugeno (T-S) fuzzy models. The main features of the proposed method are that i) it is provided that the sufficient conditions for stabilization of the discrete-time T-S fuzzy system in the sense of Lyapunov stability criterion, which is can be formulated in the linear matrix inequalities (LMIs); and ii) the stability properties of the trivial solution of the digital control system can be deduced from that of the solution of its discretized versions. An example is provided for showing the feasibility of the proposed method.

Keywords

References

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