Optimal Singular Solutions for Linear Multi-Input Systems-Reference-Cited by-同舟云学术

Optimal Singular Solutions for Linear Multi-Input Systems

Published:1966-06-01 Issue:2 Volume:88 Page:323-328
ISSN:0021-9223
Container-title:Journal of Basic Engineering
language:en
Short-container-title:

Author:

Rohrer R. A.¹,Sobral M.²

Affiliation:

1. Department of Electrophysics, Graduate Center, Polytechnic Institute of Brooklyn, Farmingdale, N. Y.

2. Department of Electrical Engineering, Instituto de Aeronautica, S. Jose dos Campos, S. P. Brazil

Abstract

Linear, stationary systems with multiple inputs when subject to performance indices quadratic in the state variables, but explicitly independent of the control variables, may be optimally governed by singular control. Necessary and sufficient conditions for the optimality of both partially singular control and totally singular control are obtained. Moreover, explicit formulae are presented for both open-loop and linear-feedback implementations of the optimal singular control.

Publisher

ASME International

Subject

General Medicine

Link

http://asmedigitalcollection.asme.org/fluidsengineering/article-pdf/88/2/323/5515529/323_1.pdf

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1. On the derivation of bilinear models for optimization of the sampling periods in discrete systems;International Journal of Control;1986-10

2. Optimal Discontinuous Feedback Controls for Linear Systems;IMA Journal of Mathematical Control and Information;1985

3. Optimal feedback control of saturating systems;International Journal of Control;1982-03

4. Singular problems in optimal control—a survey;International Journal of Control;1975-02

5. Chapter 1 An Historical Survey of Singular Control Problems;Mathematics in Science and Engineering;1975