The singular optimal control of switched systems

Vadim Azhmyakov, Carlos M. Velez

Resultado de la investigación: Capítulo del libro/informe/acta de congresoCapítulo

1 Cita (Scopus)

Resumen

© 2017 Nova Science Publishers, Inc. All rights reserved. This chapter studies a singular case of Optimal Control Problems(OCPs) governed by a class of switched control systems. We proposea new mathematical formalism for this type of switched dynamic systemsand study OCPs with a quadratic cost functionals. The original sophisticatedoptimization problem is next replaced by an auxiliary "weaklyrelaxed" OCP. Our main result includes a formal proof of the local convexityproperty of the obtained auxiliary OCP. The convex structure ofthe OCP implies a possibility to apply a variety of powerful and relativelysimple optimization schemes to the sophisticated singular OCP involvingswitched dynamics. The conceptual numerical approach we finallydevelop includes an optimal switching times selection ("timing") and asimultaneous optimal switched modes sequence scheduling ("sequencing").
Idioma originalInglés estadounidense
Título de la publicación alojadaAdvances in Communications and Media Research
EditorialAdvances in Communications and Media Research
Número de páginas17
ISBN (versión digital)9781536109924
ISBN (versión impresa)9781536109924
EstadoPublicada - 1 ene 2017

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    Azhmyakov, V., & Velez, C. M. (2017). The singular optimal control of switched systems. En Advances in Communications and Media Research Advances in Communications and Media Research. https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85020138152&origin=inward