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Solving the LQ and Non-Conventional Performance Index Optimal Problem With the Use of the Simulated Annealing Algorithm

[+] Author Affiliations
Horacio Martínez-Alfaro, Manuel Valenzuela-Rendón

Tecnológico de Monterrey, Monterrey, N.L., México

Paper No. DETC2007-35112, pp. 573-578; 6 pages
  • ASME 2007 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
  • Volume 5: 6th International Conference on Multibody Systems, Nonlinear Dynamics, and Control, Parts A, B, and C
  • Las Vegas, Nevada, USA, September 4–7, 2007
  • Conference Sponsors: Design Engineering Division and Computers and Information in Engineering Division
  • ISBN: 0-7918-4806-X | eISBN: 0-7918-3806-4
  • Copyright © 2007 by ASME


An approach to solve the discrete-time, time-invariant linear quadratic optimal control problem is presented. The design approach presented in here transforms the LQ problem into a combinatorial optimization problem and uses the Simulated Annealing algorithm to optimize the performance index. In addition, a non-conventional performance index is proposed. Some SISO and MIMO systems are tested. Results proved the approach to be an excellent option to find a solution to the problem.

Copyright © 2007 by ASME



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