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

Joe Imae, Koichiro Yoshimura, Guisheng Zhai, Tomoaki Kobayashi

Research output: Contribution to conferencePaper

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
Publication statusPublished - 2009 Jan 1
EventAsia Simulation Conference 2009, JSST 2009 - Shiga, Japan
Duration: 2009 Oct 72009 Oct 9

Conference

ConferenceAsia Simulation Conference 2009, JSST 2009
CountryJapan
CityShiga
Period09/10/709/10/9

Keywords

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

ASJC Scopus subject areas

  • Modelling and Simulation

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    Imae, J., Yoshimura, K., Zhai, G., & Kobayashi, T. (2009). A new approach to nonlinear descriptor systems with variable rank of Jacobians. Paper presented at Asia Simulation Conference 2009, JSST 2009, Shiga, Japan.