Paper Title:
Weighting Matrix Selection Method for LQR Design Based on a Multi-Objective Evolutionary Algorithm
  Abstract

This paper introduces an application of Multi-Objective Evolution Algorithm (MOEA) to design Q and R weighting matrices in Linear Quadratic regulators (LQR). Considering the difficulty of designing weighting matrices for a linear quadratic regulator, a multi-objective evolutionary algorithm based approach is proposed. The LQR weighting matrices, state feedback control rate and consequently the optimal controller are obtained by means of establishing the multi-objective optimization model of LQR weighting matrices and applying MOEA to it, which makes control system meet multiple performance indexes simultaneously. Controller of double inverted pendulum system is designed using the proposed approach. Simulation results show that it has shorter adjusting time and smaller amplitude value deviating from steady-state than a Non-dominated Sorting Genetic Algorithm LQR ( NSGA- LQR )weighting matrices design approach.

  Info
Periodical
Advanced Materials Research (Volumes 383-390)
Chapter
Chapter 5: Computer-Aided Design in Materials Engineering
Edited by
Wu Fan
Pages
1047-1054
DOI
10.4028/www.scientific.net/AMR.383-390.1047
Citation
M. A. Nekoui, H. H. J. Bozorgi, "Weighting Matrix Selection Method for LQR Design Based on a Multi-Objective Evolutionary Algorithm", Advanced Materials Research, Vols. 383-390, pp. 1047-1054, 2012
Online since
November 2011
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Price
$32.00
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