Composite control for singularly perturbed bilinear systems via successive Galerkin approximation

Y. J. Kim, B. S. Kim, M. T. Lim

Research output: Contribution to journalArticlepeer-review

28 Citations (Scopus)


The authors present algorithms for the finite-time and infinite-time closed-loop composite control of singularly perturbed bilinear systems with respect to performance criteria, using the successive Galerkin approximation (SGA) method. The singularly perturbed bilinear system is decomposed into two subsystems of a slow-time scale and a fast-time scale via singular perturbation theory, and two optimal control laws are obtained for each subsystem by using the SGA method. Then the composite control law that consists of two optimal control laws for each subsystem is designed. The authors aim to design closed-loop composite control laws for the singularly perturbed bilinear systems via the SGA method. They also aim to reduce the computational complexity when the SGA method is applied to high-order systems.

Original languageEnglish
Pages (from-to)483-488
Number of pages6
JournalIEE Proceedings: Control Theory and Applications
Issue number5
Publication statusPublished - 2003 Sept

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Instrumentation
  • Electrical and Electronic Engineering


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