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Robust output feedback tracking control for time-delay nonlinear systems using neural network.

Changchun Hua1, Xinping Guan, Peng Shi

  • 1Institute of Electrical Engineering, Yanshan University, Qinhuangdao City 066004, China. cch@ysu.edu.cn

IEEE Transactions on Neural Networks
|March 28, 2007
PubMed
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This study presents a robust output tracking control method for nonlinear time-delay systems. The approach uses an observer-based neural network controller, achieving stability despite unmodeled dynamics and unknown uncertainty bounds.

Area of Science:

  • Control Theory
  • Nonlinear Systems
  • Time-Delay Systems

Background:

  • Nonlinear systems with time delays present significant control challenges.
  • Unmodeled dynamics and uncertain parameters complicate robust control design.
  • Existing methods may not adequately address these combined complexities.

Purpose of the Study:

  • To develop a robust output tracking control strategy for nonlinear time-delay systems.
  • To design an observer and a neural network controller that are independent of time delays.
  • To ensure system stability and effective tracking performance.

Main Methods:

  • Constructing an observer with a gain matrix scheduled using linear matrix inequality (LMI).
  • Designing an observer-based neural network (NN) controller using the backstepping method.

Related Experiment Videos

  • Employing a changing supplying function to guarantee semiglobal boundedness of the closed-loop system.

    • Main Results:

    • The proposed observer and controller are independent of system time delays.
    • The closed-loop system stability is proven in the sense of semiglobal boundedness.
    • Numerical simulations validate the effectiveness of the developed control approach.

    Conclusions:

    • The presented method offers a robust solution for output tracking control in complex time-delay nonlinear systems.
    • The observer-based neural network controller effectively handles unmodeled dynamics and uncertainty.
    • The developed technique provides a reliable framework for practical applications requiring precise control.