Synthesising feedback control for time-delayed systems

K. H. Wong, Heung Wing Joseph Lee, C. Myburgh

Research output: Journal article publicationJournal articleAcademic researchpeer-review

Abstract

In this paper, we use a convolution kernel to construct an optimal feedback controller for classes of linear and nonlinear time-delayed systems. Novel error bounds on the state variable and the objective functional with respect to the disturbances of the tail functions as well as the initial conditions are derived. Numerical examples are provided to illustrate the efficiency of the method.
Original languageEnglish
Pages (from-to)269-289
Number of pages21
JournalDynamics of Continuous, Discrete and Impulsive Systems Series B: Applications and Algorithms
Volume14
Issue number2
Publication statusPublished - 1 Apr 2007

Keywords

  • Convolution kernel
  • Feedback control
  • Time-delayed system

ASJC Scopus subject areas

  • Applied Mathematics
  • Discrete Mathematics and Combinatorics

Cite this