A suboptimal feedback stabilizing controller for a class of nonlinear regulator problems

K.L. Teo, Michael Fisher, J.B. Moore

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

In this paper, we consider a class of nonlinear regulator optimal control problems with an infinite planning horizon. By assuming a specific feedback structure for the controller, the original problem is reduced to a constrained optimal parameter selection problem. Because the reduced problem is on an infinite planning horizon, we construct a sequence of finite time optimal parameter selection problems in which each is readily solvable using existing numerical software. The question concerning the asymptotical stability of the dynamical system under the obtained optimal feedback controller is then investigated. For illustration, two numerical examples are considered.
Original languageEnglish
Pages (from-to)1-17
JournalApplied Mathematics and Computation
Volume59
DOIs
Publication statusPublished - 1993

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