Adaptive Fixed-time tracking control for large-scale nonlinear systems based on improved simplified optimized backstepping strategy

  • 0College of Mathematical Sciences, Bohai University, Jinzhou, 121013, Liaoning China.

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Summary

This summary is machine-generated.

This study presents a novel optimal fixed-time control strategy for large-scale nonlinear systems. The method ensures fast, bounded tracking performance using neural networks and reinforcement learning.

Area Of Science

  • Control Systems Engineering
  • Nonlinear Dynamics
  • Artificial Intelligence

Background

  • Large-scale nonlinear systems present significant control challenges due to their complexity and interconnectedness.
  • Achieving optimal tracking performance with guaranteed convergence times is crucial for many applications.
  • Existing methods often struggle with convergence speed and parameter tuning in complex systems.

Purpose Of The Study

  • To develop an optimal fixed-time tracking control strategy for nonstrict-feedback large-scale nonlinear systems.
  • To ensure tracking errors converge within prescribed performance bounds in a fixed time.
  • To enhance the convergence rate and simplify the control algorithm using neural networks.

Main Methods

  • Utilizing fixed-time control techniques combined with a simplified reinforcement learning algorithm.
  • Developing novel critic and actor neural network updating laws for optimal control.
  • Implementing the minimum parameter method to reduce adaptive law complexity.
  • Incorporating prescribed performance control to bound tracking errors.

Main Results

  • The proposed control strategy guarantees tracking errors converge within prescribed bounds in a fixed time.
  • The method accelerates convergence rates and simplifies the optimal control algorithm.
  • All closed-loop signals are demonstrated to be bounded within a fixed time interval.
  • Simulation results validate the effectiveness of the proposed control strategy.

Conclusions

  • The developed optimal fixed-time control strategy effectively addresses tracking control for large-scale nonlinear systems.
  • The integration of neural networks, reinforcement learning, and prescribed performance offers a robust solution.
  • The approach provides faster convergence and guaranteed performance bounds, applicable to complex dynamic systems.

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