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Robust nonlinear system identification using neural-network models.

S Lu1, T Basar

  • 1Coordinated Science Laboratory, University of Illinois, Urbana, IL 61801, USA.

IEEE Transactions on Neural Networks
|February 7, 2008
PubMed
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This study introduces novel algorithms for identifying nonlinear systems with noise, overcoming standard excitation condition challenges. The methods successfully identify system nonlinearities using neural networks, even with noisy measurements.

Area of Science:

  • Control Systems Engineering
  • Machine Learning
  • Nonlinear System Identification

Background:

  • Standard neural identification methods face challenges with persistency of excitation conditions.
  • Unknown driving noise complicates nonlinear system identification.
  • Existing techniques often require specific input signal properties.

Purpose of the Study:

  • To develop robust identification algorithms for nonlinear systems with unknown driving noise.
  • To circumvent the persistency of excitation condition limitations in neural identification.
  • To enable accurate nonlinearity identification using neural network models.

Main Methods:

  • Utilized feedforward multilayer neural networks and radial basis function networks.
  • Employed a novel formulation and new identification algorithms by Didinsky et al.

Related Experiment Videos

  • Developed L1, L2, and L-infinity cost criteria-based identifiers, including an H-infinity approach.
  • Incorporated global optimization techniques and modified existing learning algorithms like backpropagation and genetic algorithms.
  • Main Results:

    • Successfully identified system nonlinearities using neural network models.
    • Achieved good approximation of system nonlinearity with noise-perturbed state measurements.
    • Demonstrated robust identification under L-infinity criterion using an H-infinity based algorithm.
    • Simulation studies confirmed the effectiveness of the proposed identification algorithms.

    Conclusions:

    • The novel algorithms effectively address the identification of nonlinear systems in the presence of noise.
    • The proposed methods overcome limitations related to persistency of excitation conditions.
    • Neural network models, combined with advanced algorithms, provide a powerful tool for robust system identification.