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Second-order sliding mode controllers for nonlinear singular perturbation systems.

J Wang1, K M Tsang

  • 1Department of Electrical Engineering, The Hong Kong Polytechnic University, Hung Hom, Kowloon, Hong Kong.

ISA Transactions
|February 3, 2005
PubMed
Summary
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Singular perturbation theory decomposes nonlinear systems into slow and fast subsystems. Second-order sliding mode controllers are designed for these subsystems, creating a suboptimal controller that eliminates chattering.

Area of Science:

  • Control Theory
  • Nonlinear Systems Analysis

Background:

  • Nonlinear systems present challenges in control design due to complex dynamics.
  • Singular perturbation theory offers a method for simplifying such systems by separating slow and fast dynamics.

Purpose of the Study:

  • To design a robust control strategy for nonlinear systems.
  • To mitigate the chattering phenomenon often associated with sliding mode control.

Main Methods:

  • Decomposition of nonlinear systems into slow and fast subsystems using singular perturbation theory.
  • Design of second-order sliding mode controllers for each subsystem.
  • Integration of individual controllers to form a combined suboptimal control action.

Main Results:

Related Experiment Videos

  • The proposed control strategy effectively manages both slow and fast dynamics.
  • The combined control action successfully eliminates undesirable chattering in the control output.
  • Simulated examples validate the algorithm's effectiveness in controlling nonlinear systems.

    • Conclusions:

    • The singular perturbation approach combined with second-order sliding mode control provides an effective method for nonlinear system control.
    • This technique offers a practical solution for reducing chattering while maintaining system performance.