Neurocontrol of nonlinear systems via local memory neurons

  • Authors:
  • S. M. Amin;E. Y. Rodin;A. Y. Wu

  • Affiliations:
  • Center for Optimization and Semantic Control Department of Systems Science and Mathematics Washington University in St. Louis Campus Box 1040, One Brookings Drive St. Louis, MO 63130-4899, U.S.A.;Center for Optimization and Semantic Control Department of Systems Science and Mathematics Washington University in St. Louis Campus Box 1040, One Brookings Drive St. Louis, MO 63130-4899, U.S.A.;Compuserve Co., 1901 South Bascom Ave. Campbell, CA 95008, U.S.A.

  • Venue:
  • Mathematical and Computer Modelling: An International Journal
  • Year:
  • 1998

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Abstract

In this report, we consider the part of our work which concerns the approximation of nonlinear dynamic systems using neural networks. Based on a new paradigm of neurons with local memory (NNLM), we discuss the representation of control systems by neural networks. Using this formulation, the basic issues of controllability and observability for the dynamic system are addressed. A separation principle of learning and control is presented for NNLM, showing that the weights of the network do not affect its dynamics. Theoretical issues concerning local linearization via a coordinate transformation and nonlinear feedback are discussed. For illustration of the approach simulation results for nonlinear control of an aircraft encountering wind shear on take-off is presented.