Numerical experiments in linear control theory using generalized X - Y equations

Casti, J. & Kirschner, O. (1976). Numerical experiments in linear control theory using generalized X - Y equations. IEEE Transactions on Automatic Control 21 (5) 792-795. 10.1109/TAC.1976.1101351.

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Abstract

Numerical investigations of the relative efficiency of Riccati versus non-Riccati based approaches to the determination of optimal feedback gains for linear dynamics-quadratic cost control processes over a finite interval are presented. The non-Riccati algorithms used are the so-called generalized X — Y functions [1] or Chandrasekhar-type [2] algorithms. The results of the experiments show that the generalized X — Y approach has significant computational advantages over the usual Riccati equation and, in many cases, the computational gain exceeds rough estimates based solely upon a count of the number of equations to be integrated. © 1976, IEEE.

Item Type: Article
Depositing User: Romeo Molina
Date Deposited: 14 Apr 2016 08:15
Last Modified: 27 Aug 2021 17:26
URI: http://pure.iiasa.ac.at/12674

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