Fourier-based optimal control approach for structural systems.

Vincent Yen, Mark L. Nagurka

Research output: Contribution to journalConference articlepeer-review

1 Scopus citations


The authors consider the optimal control of structural systems with quadratic performance indices. The proposed approach approximates each configuration variable of a structural model by the sum of a fifth-order polynomial and a finite-term Fourier-type series. In contrast to standard linear optimal control approaches which typically require the solution of Riccati equations, the method adopted is a near-optimal approach in which the necessary and sufficient condition of optimality is derived as a system of linear algebraic equations. These equations can be solved directly by a method such as Gaussian elimination. The proposed approach is computationally efficient and can be applied to structural systems of high dimension and/or to structural systems with fixed (or highly penalized) terminal states without numerical difficulties.

Original languageEnglish
Pages (from-to)2082-2087
Number of pages6
JournalProceedings of the American Control Conference
Volume88 pt 1-3
StatePublished - 1 Dec 1988
Externally publishedYes


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