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On the linear quadratic dynamic optimization problems with fixed-levels control functions

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Date
2017
Author
Azhmyakov V.
Trujillo L.A.G.
Department of Basic Sciences, Universidad de Medellin, Medellin, Colombia
School of Ingeniering, Universidad de Medellin, Medellin, Colombia

Citación

       
TY - GEN T1 - On the linear quadratic dynamic optimization problems with fixed-levels control functions AU - Azhmyakov V. AU - Trujillo L.A.G. Y1 - 2017 UR - http://hdl.handle.net/11407/4256 PB - Forum-Editrice Universitaria Udinese SRL AB - ER - @misc{11407_4256, author = {Azhmyakov V. and Trujillo L.A.G.}, title = {On the linear quadratic dynamic optimization problems with fixed-levels control functions}, year = {2017}, abstract = {}, url = {http://hdl.handle.net/11407/4256} }RT Generic T1 On the linear quadratic dynamic optimization problems with fixed-levels control functions A1 Azhmyakov V. A1 Trujillo L.A.G. YR 2017 LK http://hdl.handle.net/11407/4256 PB Forum-Editrice Universitaria Udinese SRL AB OL Spanish (121)
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Abstract
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. © 2017, Forum-Editrice Universitaria Udinese SRL. All rights reserved.
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http://hdl.handle.net/11407/4256
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