Fourier-based state parameterization for linear quadratic optimal control

Vincent Yen, Mark Nagurka

Research output: Contribution to journalConference articlepeer-review

2 Scopus citations


This paper considers the optimal control of linear time-invariant dynamical systems with quadratic performance indices. The proposed approach approximates each state variable of a state-space model by the sum of a third 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, making the approach computationally efficient.

Original languageEnglish
Pages (from-to)WA/DSC7 8p
JournalAmerican Society of Mechanical Engineers (Paper)
StatePublished - 1 Dec 1988
Externally publishedYes
EventPreprint - American Society of Mechanical Engineers - Chicago, IL, USA
Duration: 27 Nov 19882 Dec 1988

ASJC Scopus subject areas

  • Mechanical Engineering


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