Applying matrix methods to optimal control of distributed parameter systems.

Garng Morton Huang, T. S. Tang

Research output: Contribution to journalConference article


For the optimal control of a nonlinear distributed-parameter system (DPS) with an index containing partial differential operators in the spatial variables, deriving a costate system equation and the associated boundary and final conditions in component notations is very tedious and complicated. Matrix methods, which provide structural and operational convenience, are introduced into the derivations. A costate system equation for the final state of a DPS and that consists of partial differential operators up to the fourth order and a cost index with first-order partial differential operator is given in a compact matrix form. The use of the methods is demonstrated for two problems in optimal control.

Original languageEnglish
Pages (from-to)2331-2332
Number of pages2
JournalProceedings of the American Control Conference
Volume88 pt 1-3
Publication statusPublished - 1 Dec 1988
Externally publishedYes


ASJC Scopus subject areas

  • Electrical and Electronic Engineering

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