Fuzzy Finite Time Control for Switched Systems via Adding a Barrier Power Integrator

Area of Science:

• Control Systems Engineering
• Nonlinear Dynamics
• Fuzzy Logic Systems

Background:

• Nonlinear switched systems present significant control challenges.
• Existing adaptive control methods often require strict system assumptions and can be overly complex.
• Finite time control is desirable for rapid system stabilization and response.

Purpose of the Study:

• To develop a novel adaptive fuzzy control strategy for nonlinear switched systems.
• To achieve finite time control for stabilization and tracking problems.
• To address challenges like full state constraints and unknown control gains.

Main Methods:

• A new "adding a barrier integrator" technique is introduced.
• A novel adaptive fuzzy control strategy is designed.
• The backstepping design complexity and singularity issues are carefully managed.

Main Results:

• The proposed method achieves exact finite time control for stabilization and some tracking issues.
• Practical finite time control is attainable for general tracking problems.
• The control strategy is effective for high-order nonlinear switched systems with arbitrary switching and unknown gains.

Conclusions:

• The developed adaptive fuzzy control offers a robust and simplified solution for nonlinear switched systems.
• The method successfully addresses full state constraints and avoids singularity problems.
• This approach advances finite time control for a broader class of complex systems.