SINGULAR-PERTURBATION ANALYSIS OF A CLOSED-LOOP FIXED-END-POINT OPTIMAL-CONTROL PROBLEM.

P. K. Rajagopalan, D. S. Naidu

Research output: Contribution to journalArticlepeer-review

4 Scopus citations

Abstract

The closed-loop optimal control of a singularly perturbed system with fixed-end-point conditions results in a special matrix Riccati equation. A singular-perturbation method is presented to analyze the Riccati equation. An algorithm is developed for obtaining the zeroth-, first- and second-order approximate solutions. An illustrative example is given. An integral-squared-error criterion is used to examine the closeness of the approximate solutions.

Original languageEnglish (US)
Pages (from-to)194-203
Number of pages10
JournalIEE Proceedings D: Control Theory and Applications
Volume127
Issue number5
DOIs
StatePublished - Jan 1 1980

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