Discrete optimal control systems design using Simulated Annealing

Author

Martinez-Alfaro, Horacio ; Ruiz-Cruz, Martin A.

Author_Institution

Center for Intelligent Syst., ITESM, Monterrey, Mexico

Volume

3

fYear

2003

fDate

5-8 Oct. 2003

Firstpage

2575

Abstract

This work presents an approach to solve the Discrete-Time Invariant Linear Quadratic Optimal Control problem which minimizes a performance index (either minimum time and/or minimum energy). The design approach presented in this paper transforms the LQ problem into a combinatorial optimization problem and use the Simulated Annealing algorithm to perform the optimization part. In addition, a non conventional performance index is proposed. Some SISO and MIMO systems are tested with this approach. Their results proved the approach to be an excellent option to find a solution to the problem.

Keywords

MIMO systems; combinatorial mathematics; continuous time systems; control system synthesis; discrete time systems; invariance; linear quadratic control; performance index; simulated annealing; MIMO systems; SISO systems; combinatorial optimization; discrete optimal control system design; discrete time invariant systems; linear quadratic optimal control problem; performance index; simulated annealing algorithm; Automatic control; Design optimization; Intelligent systems; MIMO; Optimal control; Performance analysis; Performance gain; Simulated annealing; State feedback; Temperature;

fLanguage

English

Publisher

ieee

Conference_Titel

Systems, Man and Cybernetics, 2003. IEEE International Conference on

ISSN

1062-922X

Print_ISBN

0-7803-7952-7

Type

conf

DOI

10.1109/ICSMC.2003.1244271

Filename

1244271