A new approach to nonlinear descriptor systems with variable rank of Jacobians

Joe Imae, Koichiro Yoshimura, Guisheng Zhai, Tomoaki Kobayashi

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

It is well known that it is difficult to analytically/numerically solve the optimal control problems in a descriptor form and there is little research in the case where the rank of Jacobians is not constant. In this paper we propose a numerical approach to optimal control problems with nonlinear descriptor systems where the rank of Jacobians varies. First, we transform the descriptor-based control problem into the standard control problem with state/control constraints. Focusing on the multiplier method, we present an algorithm for the numerical solutions of the constrained optimal control problems by means of a function space approach. Finally, some numerical examples are given to show the effectiveness of our approach in comparison with the penalty function approach.

Original languageEnglish
Title of host publicationAsia Simulation Conference 2009, JSST 2009
PublisherJapan Society for Simulation Technology, JSST
Publication statusPublished - 2009
Externally publishedYes
EventAsia Simulation Conference 2009, JSST 2009 - Shiga
Duration: 2009 Oct 72009 Oct 9

Other

OtherAsia Simulation Conference 2009, JSST 2009
CityShiga
Period09/10/709/10/9

Keywords

  • Descriptor system
  • Multiplier method
  • Optimal control
  • Penalty method
  • Variable rank

ASJC Scopus subject areas

  • Modelling and Simulation

Cite this

Imae, J., Yoshimura, K., Zhai, G., & Kobayashi, T. (2009). A new approach to nonlinear descriptor systems with variable rank of Jacobians. In Asia Simulation Conference 2009, JSST 2009 Japan Society for Simulation Technology, JSST.

A new approach to nonlinear descriptor systems with variable rank of Jacobians. / Imae, Joe; Yoshimura, Koichiro; Zhai, Guisheng; Kobayashi, Tomoaki.

Asia Simulation Conference 2009, JSST 2009. Japan Society for Simulation Technology, JSST, 2009.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Imae, J, Yoshimura, K, Zhai, G & Kobayashi, T 2009, A new approach to nonlinear descriptor systems with variable rank of Jacobians. in Asia Simulation Conference 2009, JSST 2009. Japan Society for Simulation Technology, JSST, Asia Simulation Conference 2009, JSST 2009, Shiga, 09/10/7.
Imae J, Yoshimura K, Zhai G, Kobayashi T. A new approach to nonlinear descriptor systems with variable rank of Jacobians. In Asia Simulation Conference 2009, JSST 2009. Japan Society for Simulation Technology, JSST. 2009
Imae, Joe ; Yoshimura, Koichiro ; Zhai, Guisheng ; Kobayashi, Tomoaki. / A new approach to nonlinear descriptor systems with variable rank of Jacobians. Asia Simulation Conference 2009, JSST 2009. Japan Society for Simulation Technology, JSST, 2009.
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