ISSN:2164-6457 (print)
ISSN:2164-6473 (online)
Journal of Applied Nonlinear Dynamics
Miguel A. F. Sanjuan (editor), Albert C.J. Luo (editor)
Miguel A. F. Sanjuan (editor)

Email: miguel.sanjuan@urjc.es

Albert C.J. Luo (editor)

Department of Mechanical and Industrial Engineering, Southern Illinois University Ed-wardsville, IL 62026-1805, USA

Fax: +1 618 650 2555 Email: aluo@siue.edu

Tau Method for Linear Quadratic Regulator Problems

Journal of Applied Nonlinear Dynamics 3(2) (2014) 139--146 | DOI:10.5890/JAND.2014.06.004

A. Gavina$^{1}$, J. Matos$^{2}$, P.B. Vasconcelos$^{3}$

$^{1}$ Instituto Superior de Engenharia do Porto and Laboratório de Engenharia Matemática

$^{2}$ Instituto Superior de Engenharia do Porto and Centro de Matemática da Universidade do Porto

$^{3}$ Faculdade de Economia da Universidade do Porto and Centro de Matemática da Universidade do Porto

Abstract

We are interested in investigating the applicability of the Operational Tau method to solve optimal control problems. The present work focuses on quadratic regulator problems defined on infinite time. For the numerical approximation of the solution, domain transformation technique is studied as well as a special treatment of orthogonal polynomial basis. Numerical resultsobtained via a MATLAB implementation of the proposed approach are shown, illustrating its effectiveness.

References

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