H∞ Control Design Using Dynamic Neural Networks

  • Authors:
  • Yanjun Shen;Weimin Shen

  • Affiliations:
  • Institute of Nonlinear Complex Systems, China Three Gorges University, Yichang, China 443002;Department of Electrical and Computer Engineering, Dalhousie University, Halifax, Canada

  • Venue:
  • Neural Processing Letters
  • Year:
  • 2008

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Abstract

In this paper, a new approach is investigated for adaptivedynamic neural network-based H∞ control,which is designed for a class of non-linear systems with unknownuncertainties. Currently, non-linear systems with unknownuncertainties are commonly used to efficiently and accuratelyexpress the real practical control process. Therefore, it is ofcritical importance but a great challenge and still at its earlyage to design a stable and robust controller for such a process. Inthe proposed research, dynamic neural networks were constructed toprecisely approximate the non-linear system with unknownuncertainties first, a non-linear state feedbackH∞ control law was designed next, then anadaptive weighting adjustment mechanism for dynamic neural networkswas developed to achieve H∞ regulationperformance, and last a recurrent neural network was employed as aneuro-solver to efficiently and numerically solve the standard LMIproblem so as to obtain the appropriate control gains. Finally,case studies further verify the feasibility and efficiency of theproposed research.