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Stable neural-network-based adaptive control for sampled-data nonlinear systems.

F Sun1, Z Sun, P Y Woo

  • 1Department of Computer Science and Technology, State Key Laboratory of Intelligent Technology and Systems, Tsinghua University, Beijing 100084, China.

IEEE Transactions on Neural Networks
|February 8, 2008
PubMed
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A new stable neural-network (NN)-based adaptive control method enhances control for nonlinear sampled-data systems. This approach integrates NNs with variable structure control, ensuring system stability and tracking error convergence for improved performance.

Area of Science:

  • Control Systems Engineering
  • Artificial Intelligence
  • Nonlinear Dynamics

Background:

  • Controlling complex multi-input-multi-output (MIMO) sampled-data nonlinear systems with unknown dynamics presents significant challenges.
  • Existing adaptive control methods may struggle with inherent nonlinearities and uncertainties in such systems.

Purpose of the Study:

  • To develop a stable neural-network (NN)-based adaptive control approach for MIMO sampled-data nonlinear systems.
  • To integrate NN approximation capabilities with variable structure control (VSC) for robust performance.

Main Methods:

  • The proposed method combines a neural network (NN) approach with an adaptive implementation of variable structure control (VSC) with a sector.
  • VSC is utilized to maintain system states within the NN's operational region and provide supplementary control.

Related Experiment Videos

  • Stability and tracking error convergence are rigorously proven, and parameter tuning is discussed.
  • Main Results:

    • The adaptive control strategy ensures complete stability and convergence of the tracking error.
    • The asymptotic error is shown to depend on NN approximation errors and unmodeled dynamics frequency range.
    • Effectiveness demonstrated through simulation studies on a two-link manipulator.

    Conclusions:

    • The integrated NN and VSC approach offers a stable and effective solution for controlling complex nonlinear sampled-data systems.
    • The method provides robust performance by managing unknown nonlinearities and system uncertainties.
    • This technique holds promise for applications requiring precise control of dynamic systems.