Non-fragile sliding mode control for one-sided Lipschitz chaotic systems
Jun Huang1, Genke Yang2, Zhijun Fang3
1School of Mechanical and Electrical Engineering, Soochow University, Suzhou, 215021, China.
ISA Transactions
|October 12, 2020
Summary
This study presents a new sliding mode control method for chaotic systems. The proposed non-fragile sliding mode surface and feedback law ensure finite-time convergence of chaotic system states.
Area of Science:
- Control Theory
- Nonlinear Dynamics
- Chaos Theory
Background:
- Chaotic systems exhibit sensitive dependence on initial conditions, making their stabilization challenging.
- Controlling nonlinear systems with one-sided Lipschitz and quadratic inner-boundedness requires specialized techniques.
- Sliding mode control offers robustness but can be sensitive to uncertainties.
Purpose of the Study:
- To develop a robust sliding mode stabilization technique for a specific class of chaotic systems.
- To design a non-fragile sliding mode surface and a finite-time feedback control law.
- To validate the effectiveness of the proposed controller through simulation.
Main Methods:
- Construction of a non-fragile sliding mode surface.
- Derivation of sufficient conditions for system convergence.
- Design of a novel feedback control law for finite-time state trajectory tracking.
- Simulation using a unified chaos system example.
Main Results:
- The proposed method ensures that state trajectories of the closed-loop system reach the sliding mode surface in finite time.
- The controller demonstrates robustness in stabilizing the chaotic system.
- Simulation results confirm the effectiveness of the designed control strategy.
Conclusions:
- The developed sliding mode control approach provides an effective solution for stabilizing chaotic systems.
- The non-fragile sliding mode surface and finite-time feedback law are key contributions.
- The method is validated for practical application in unified chaos systems.
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