Neural-genetic synthesis for state-space controllers based on linear quadratic regulator design for eigenstructure assignment

  • Authors:
  • João Viana Da Fonseca Neto;Ivanildo Silva Abreu;Fábio Nogueira Da Silva

  • Affiliations:
  • Department of Electrical Engineering, Electrical Engineering and Computation, Federal University of Maranhão, São Luís, MA, Brazil;Department of Mathematics and Computer Engineering, State University of Maranhão, São Luís, MA, Brazil and Electrical Engineering, Federal University of Pará, Belém, PA, B ...;Department of Electrical Engineering, Electrical Engineering and Computation, Federal University of Maranhão, São Luís, MA, Brazil

  • Venue:
  • IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
  • Year:
  • 2010

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Abstract

Toward the synthesis of state-space controllers, a neural-genetic model based on the linear quadratic regulator design for the eigenstructure assignment of multivariable dynamic systems is presented. The neural-genetic model represents a fusion of a genetic algorithm and a recurrent neural network (RNN) to perform the selection of the weighting matrices and the algebraic Riccati equation solution, respectively. A fourth-order electric circuit model is used to evaluate the convergence of the computational intelligence paradigms and the control design method performance. The genetic search convergence evaluation is performed in terms of the fitness function statistics and the RNN convergence, which is evaluated by landscapes of the energy and norm, as a function of the parameter deviations. The control problem solution is evaluated in the time and frequency domains by the impulse response, singular values, and modal analysis.