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Optimal Control of a Class of Time-delayed Distributed Systems by Orthogonal Functions

✍ Scribed by steven a. bianco; ibrahim s. sadek; matthew t. kambule

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
291 KB
Volume
335
Category
Article
ISSN
0016-0032

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✦ Synopsis

A class of optimal control problems for multi!dimensional structures described by a linear partial differential!difference equation is considered[ The control mechanism involves the simultaneous application of time!delayed feedback and open!loop controllers which provides an effective means of suppressinvibrations in the structures[ A computationally attractive method for determininthe optimal open!loop control of an optimization time!delay problem with quadratic performance index is presented[ The method is based on usin\_nite orthoonal expansions to approximate state and open!loop control variables[ The representation leads to a system of linear alebraic equations in terms of feedback parameters as the necessary condition of optimality[ This method provides a straihtforward and convenient approach for diital computation[ Thus the dif\_culty in obtaininthe solution of the coupled initial!boundary!terminal!value problem with both delayed and advanced aruments\ which is always required in applyinthe Pontryain|s maximum principle to optimization of delay systems\ is avoided[ The unknown feedback parameters are numerically evaluated from the solution of the enery minimization problem[ A numerical example is `iven to demonstrate the applicability and effectiveness of the proposed method[ Þ 0887 The Franklin Institute[ Published by Elsevier Science Ltd[

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