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Fuzzy model-based servo and model following control for nonlinear systems.

Hiroshi Ohtake1, Kazuo Tanaka, Hua O Wang

  • 1Department of Mechanical Engineering and Intelligent Systems, The University of Electro-Communications, Tokyo, Japan. hohtake@mce.uec.ac.jp

IEEE Transactions on Systems, Man, and Cybernetics. Part B, Cybernetics : a Publication of the IEEE Systems, Man, and Cybernetics Society
|August 8, 2009
PubMed
Summary

This study introduces novel fuzzy control methods for nonlinear systems. These techniques enable system outputs to precisely follow desired trajectories or reference models, enhancing control performance.

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Area of Science:

  • Control Engineering
  • Fuzzy Systems
  • Nonlinear Dynamics

Background:

  • Nonlinear systems present significant control challenges.
  • Model-based control strategies are crucial for achieving precise system regulation.
  • Takagi-Sugeno fuzzy models offer a powerful framework for approximating complex nonlinear dynamics.

Purpose of the Study:

  • To develop advanced servo and model following controllers for nonlinear systems.
  • To utilize the Takagi-Sugeno fuzzy model-based control approach.
  • To ensure system outputs converge to target points or reference model outputs.

Main Methods:

  • Augmented fuzzy system construction for continuous-time nonlinear systems via differentiation.
  • Introduction of dynamic fuzzy servo and model following controllers.
  • Formulation of controller design conditions using linear matrix inequalities (LMIs).

Main Results:

  • A systematic method for constructing augmented fuzzy systems is presented.
  • Novel dynamic fuzzy servo and model following controllers are introduced.
  • Controller design conditions are expressed in a solvable LMI format, demonstrating practical utility through examples.

Conclusions:

  • The proposed Takagi-Sugeno fuzzy model-based control approach effectively addresses servo and model following control for nonlinear systems.
  • The LMI-based design conditions provide a computationally tractable method for controller synthesis.
  • The presented design examples validate the efficacy and applicability of the developed control strategies.