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Switch control for piecewise affine chaotic systems.

Chuandong Li1, Xiaofeng Liao, Xiaofan Yang

  • 1Department of Computer Science and Engineering, Chongqing University, 400044, China. cd_licqu@163.com

Chaos (Woodbury, N.Y.)
|October 4, 2006
PubMed
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This study introduces piecewise feedback control to stabilize unstable equilibrium points in piecewise affine systems. The research also examines the impact of noise on this stabilization process.

Area of Science:

  • Control Theory
  • Nonlinear Dynamics
  • Systems Engineering

Background:

  • Piecewise affine systems are common in engineering and exhibit complex dynamics.
  • Stabilizing unstable equilibrium points in these systems is crucial for reliable operation.
  • Existing control methods may not adequately address the switching nature of these systems.

Purpose of the Study:

  • To develop and present a novel piecewise feedback control strategy.
  • To demonstrate the stabilization of unstable equilibrium points in piecewise affine systems.
  • To investigate the influence of noise on the proposed stabilization method.

Main Methods:

  • Design of a piecewise feedback controller based on system states.
  • Analysis of system stability under the proposed control law.

Related Experiment Videos

  • Simulation and analysis of noise effects on the controlled system.
  • Main Results:

    • Successful stabilization of unstable equilibrium points was achieved using the piecewise feedback control.
    • The control strategy effectively manages state-dependent switching between subsystems.
    • Noise was shown to impact stabilization, with specific effects detailed in the study.

    Conclusions:

    • The proposed piecewise feedback control is effective for stabilizing unstable equilibrium points in piecewise affine systems.
    • The method provides a robust approach to handling state-dependent switching.
    • Understanding noise effects is important for practical implementation.