© 2017, Forum-Editrice Universitaria Udinese SRL. All rights reserved. This paper deals with a constrained LQ-type optimal control problem (OCP) in the presence of fixed levels input restrictions. We consider control processes governed by linear differential equations with a priori known control switching structure. The set of admissible inputs reflects some important natural engineering applications and moreover, can also be interpreted as a result of a quantization procedure applied to the original dynamic system. We propose a novel implementable algorithm that makes it possible to calculate a (numerically consistent) approximative solution to the constrained LQ-type OCPs under consideration. Our contribution mainly discusses theoretic aspects of the proposed solution scheme and contains an illustrative numerical example.
|Idioma original||Inglés estadounidense|
|Número de páginas||19|
|Publicación||Italian Journal of Pure and Applied Mathematics|
|Estado||Publicada - 1 ene 2017|
Azhmyakov, V., & Trujillo, L. A. G. (2017). On the linear quadratic dynamic optimization problems with fixed-levels control functions. Italian Journal of Pure and Applied Mathematics, 37, 219-237. https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85016603353&origin=inward