Suboptimal local feedback control for a class of constrained discrete time nonlinear control problems

Heung Wing Joseph Lee, K. L. Teo, V. Rehbock

Research output: Journal article publicationJournal articleAcademic researchpeer-review

1 Citation (Scopus)

Abstract

In this paper, we consider a class of constrained discrete time optimal control problems involving general nonlinear dynamics with fixed terminal time. A method to solve the feedback control problem for a class of unconstrained continuous time nonlinear systems has been proposed previously. In that work, the solution is based on synthesizing an approximate suboptimal feedback controller locally in the neighbourhood of a certain nominal optimal trajectory. This paper expands on the same theme by considering problems involving discrete time systems. Taking advantage of the nature of discrete time systems, a further reduction on the computational effort of synthesising the feedback controller is made possible. Also, this paper extends the applicability of the method to constrained systems. For illustration, a numerical example is solved using the proposed method.
Original languageEnglish
Pages (from-to)133-148
Number of pages16
JournalComputers and Mathematics with Applications
Volume36
Issue number10-12
Publication statusPublished - 1 Nov 1998
Externally publishedYes

Keywords

  • Constrained system
  • Discrete time nonlinear systems
  • Feedback control
  • Optimal control
  • Spline interpolation

ASJC Scopus subject areas

  • Modelling and Simulation
  • Computational Theory and Mathematics
  • Computational Mathematics

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