Finite time optimal control for the bilinear systems by using the successive approximation method

Beom Soo Kim, Myo Taeg Lim

Research output: Contribution to journalConference article

2 Citations (Scopus)

Abstract

In this paper we develop a new finite time optimal control algorithm for the bilinear systems by using the successive approximation method. Hofer and Aganovic have been proposed iterative schemes to solve the optimal control problem for these systems. On the contrary to the results of Aganovic where the optimal solution has been obtained in terms of a sequence of the differential Lyapunov equations based on the results of Hofer, we propose a new method based on the successive approximation method and the control law is represented by an explicit state feedback form. An example is presented to illustrate the results, and the proof of convergence is provided.

Original languageEnglish
Pages (from-to)3184-3189
Number of pages6
JournalProceedings of the IEEE Conference on Decision and Control
Volume4
Publication statusPublished - 2001
Event40th IEEE Conference on Decision and Control (CDC) - Orlando, FL, United States
Duration: 2001 Dec 42001 Dec 7

Keywords

  • Bilinear systems
  • Optimal control
  • Successive approximation

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Modelling and Simulation
  • Control and Optimization

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