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Adaptive neural network prescribed performance control for dual switching nonlinear time-delay system.

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This study introduces adaptive neural networks (NNs) for controlling nonlinear systems with time delays. The proposed method ensures bounded system signals and meets prescribed performance tracking constraints.

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Area of Science:

  • Control Theory
  • Nonlinear Systems
  • Artificial Intelligence

Background:

  • Time-delay systems present significant control challenges.
  • Neural networks (NNs) offer powerful function approximation capabilities.
  • Prescribed performance control (PPC) addresses performance degradation in practical applications.

Purpose of the Study:

  • To develop an adaptive neural network output feedback control scheme.
  • To address the control problem for dual switching nonlinear systems with time-delay.
  • To ensure tracking performance meets predefined constraints.

Main Methods:

  • Utilizing neural network approximations for adaptive control.
  • Combining prescribed performance control (PPC) with the backstepping method.
  • Designing a switching rule for system stability.

Main Results:

  • All signals in the closed-loop system are demonstrated to be bounded.
  • The designed controller achieves the desired tracking performance.
  • The tracking performance satisfies the prescribed performance constraints.

Conclusions:

  • The proposed adaptive NNs output feedback control scheme is effective for dual switching nonlinear time-delay systems.
  • The integration of PPC and backstepping ensures robust tracking performance.
  • The controller design successfully handles performance degradation issues.