A Chebyshev-Based State Representation for Linear Quadratic Optimal Control

Document Type

Article

Language

eng

Publication Date

3-1993

Publisher

American Society for Mechanical Engineers

Source Publication

Journal of Dynamic Systems, Measurement, and Control

Source ISSN

0022-0434

Abstract

A 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.

Comments

Journal of Dynamic Systems, Measurement, and Control, Vol. 115, No. 1 (March 1993): 1-6. DOI.

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