A chebyshev-based state representation for linear quadratic optimal control

M. L. Nagurka, S. K. Wang

Research output: Contribution to journalArticlepeer-review

17 Scopus citations

Abstract

Computationally attractive method for determining the optimal control of unconstrained linear dynamic systems with quadratic performance indices is presented. In the proposed method, the difference between each state variable and its initial condition is represented by a finite-term shifted Chebyshev series. The representation leads to a system of linear algebraic equations as the necessary condition of optimality. Simulation studies demonstrate computational advantages relative to a standard Riccati-based method, a transition matrix method, and a previous Fourier-based method.

Original languageEnglish
Pages (from-to)1-6
Number of pages6
JournalJournal of Dynamic Systems, Measurement and Control, Transactions of the ASME
Volume115
Issue number1
DOIs
StatePublished - 1 Jan 1993
Externally publishedYes

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