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Adaptive finite-time control for switched nonlinear systems subject to multiple objective constraints via
Wen-Jing He1, Shan-Liang Zhu2, Na Li1
1School of Mathematics and Physics, Qingdao University of Science and Technology, Qingdao, 266061, China.
This study introduces a finite-time control strategy for switched nonlinear systems with multiple objective constraints. The proposed adaptive controller ensures objectives are met without violating constraints, verified in aircraft simulations.
Area of Science:
- Control Systems Engineering
- Nonlinear Dynamics
- Adaptive Control Theory
Background:
- Switched nonlinear systems present challenges due to multiple objective constraints.
- Ensuring system stability and performance under constraints is crucial for practical applications.
Purpose of the Study:
- To develop a finite-time control strategy for switched nonlinear systems with multiple objective constraints.
- To address the challenge of constraint violation and potential singularity issues in control design.
Main Methods:
- Design of a time-varying and asymmetric barrier function to transform constrained systems into unconstrained ones.
- Integration of dynamic surface control with backstepping and error compensation systems.
- Proposal of an adaptive finite-time controller utilizing a multi-dimensional Taylor network (MTN).
Main Results:
- The barrier function effectively converts multiple objective constrained systems into unconstrained systems.
- Dynamic surface control minimizes filtering errors through error compensation systems.
- The proposed adaptive MTN controller avoids singularity issues and guarantees constraint satisfaction.
Conclusions:
- The developed finite-time control strategy is effective for switched nonlinear systems with multiple objective constraints.
- The approach ensures objective functions remain within defined limits, enhancing system reliability.
- Simulation results on an aircraft system validate the proposed control strategy's effectiveness.
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