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Neuroadaptive fixed-time prescribed performance for full-state-constrained uncertain systems using dynamic surface

Zhangbao Xu1, Maokun Zhang2, Jianyong Yao3

  • 1School of Computer and Information Engineering, Anhui Engineering Research Center for Intelligent Computing and Information Innovation, Fuyang Normal University, Fuyang 236037, China.

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Summary
This summary is machine-generated.

This study introduces a novel neuroadaptive controller for systems with unknown dynamics and constraints. The controller ensures fast and accurate tracking performance while respecting system limitations.

Keywords:
Adaptive controlFixed-time prescribed performance controlFull-state constraintsNeural networkUncertain systems

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Area of Science:

  • Control Systems Engineering
  • Adaptive Control Theory
  • Nonlinear System Analysis

Background:

  • Controlling complex systems with uncertainties and full-state constraints is challenging.
  • Existing methods often struggle with unknown dynamics and disturbances, requiring complex transformations.
  • The need for robust and efficient control strategies that guarantee performance within fixed timeframes is critical.

Purpose of the Study:

  • To develop a precise control strategy for full-state constrained systems with uncertainties and unknown dynamics.
  • To design a neuroadaptive controller that compensates for unknown disturbances and parametric uncertainties.
  • To ensure tracking error convergence within a fixed time while adhering to all state constraints.

Main Methods:

  • A neuroadaptive strategy is employed to handle unknown system dynamics and uncertainties.
  • Disturbance observers are utilized for estimating unknown external disturbances.
  • A novel Lyapunov function with an asymmetric prescribed performance function is constructed for fixed-time convergence.
  • Dynamic surface technology is integrated to mitigate the differential explosion issue in backstepping design.

Main Results:

  • A neuroadaptive fixed-time prescribed performance controller is successfully developed.
  • The controller simplifies design by avoiding prior tracking error transformation functions.
  • Lyapunov theory confirms that the error system is locally ultimately exponentially bounded.
  • Asymmetric fixed-time prescribed tracking performance is achieved without violating state constraints.

Conclusions:

  • The proposed neuroadaptive controller effectively manages full-state constrained systems with uncertainties and unknown dynamics.
  • The novel approach guarantees fixed-time convergence and respects system constraints, offering a simplified design.
  • Experimental validation confirms the controller's practical applicability and performance.