Control parameterization approach for linear quadratic systems

Vincent Yen, Mark L. Nagurka

Research output: Contribution to conferencePaperpeer-review

Abstract

The authors develop a control parameterization approach for determining the (near) optimal trajectories of linear time-invariant systems with quadratic performance indices. In solving the linear quadratic (LQ) problem for time-invariant systems, each control variable is represented by a set of approximating functions with unknown coefficients. This converts the LQ problem into an unconstrained quadratic programming problem which can be solved for the (near) optimal control parameter values (i.e., the unknown coefficients) by solving a system of linear algebraic equations. As verified by simulation studies, the control parameterization approach is particularly efficient when applied to minimum energy problems and to problems with significantly fewer control variables than state variables.

Original languageEnglish
Pages774-779
Number of pages6
StatePublished - 1 Dec 1989
Externally publishedYes
EventProceedings of the 1989 American Control Conference - Pittsburgh, PA, USA
Duration: 21 Jun 198923 Jun 1989

Conference

ConferenceProceedings of the 1989 American Control Conference
CityPittsburgh, PA, USA
Period21/06/8923/06/89

ASJC Scopus subject areas

  • General Engineering

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