Parallel optimal control for weakly coupled nonlinear systems using successive Galerkin approximation

Young Joong Kim, Myo Taeg Lim

Research output: Contribution to journalArticle

19 Citations (Scopus)

Abstract

This technical note presents a new algorithm for the closed-loop parallel optimal control of weakly coupled nonlinear systems with respect to performance criteria using the successive Galerkin approximation (SGA). By using the weak coupling theory, the optimal control law can be obtained from two reduced-order optimal control problems in parallel, but the resulting problem is difficult to solve for nonlinear systems. In order to overcome the difficulties inherent in the nonlinear optimal control problem, the parallel optimal control laws are constructed in terms of the approximated solutions to two independent Hamilton-Jacobi-Bellman equations using the SGA method. One of the purposes of this note is to design the closed-loop parallel optimal control law for the weakly coupled nonlinear systems using the SGA method. The second is to reduce the computational complexity when the SGA method is applied to the high-order weakly coupled systems.

Original languageEnglish
Pages (from-to)1542-1547
Number of pages6
JournalIEEE Transactions on Automatic Control
Volume53
Issue number6
DOIs
Publication statusPublished - 2008

Keywords

  • Galerkin method
  • Nonlinear systems
  • Optimal control
  • Parallel processing
  • Weak coupling

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Computer Science Applications
  • Electrical and Electronic Engineering

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