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Optimization of systems with pulse-width-modulated control

Name: Optimization of systems with pulse-width-modulated control
Creator: Kirk, Donald Evan
Keywords: Optimization, Control systems, Engineering, 330, 4. Education, Pulse-width-modulation, Two-point boundary value problems, Electronics and Electrical, Numerical methods, Calculus of variations

descriptionPublicationkeyboard_double_arrow_right Article 01 Jun 1967 United States Publisher:Institute of Electrical and Electronics Engineers (IEEE)Journal:IEEE Transactions on Automatic Control, volume 12, pages 307-309 (issn: 0018-9286, eissn: 1558-2523,

Authors: Kirk, Donald Evan;

doi: 10.1109/tac.1967.1098579

handle: 2142/74960 , 2142/59596

Optimization of systems with pulse-width-modulated control

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Abstract

The problem of finding pulse-width-modulated signals which provide optimal control for a specified plant is considered. A set of necessary conditions which must be satisfied by the optimal control is derived using the calculus of variations. A steepest-descent procedure is developed to obtain a numerical solution to the resulting nonlinear two-point boundary value problem. Special features of the numerical procedure are automatic step size adjustment and the generation of a sequence of performance indices which is monotonic. An example which illustrates the range of application is given.

Country

United States

Related Organizations

Naval Postgraduate School
United States
University of Illinois at Urbana-Champaign / Rare Book and Manuscript Library
United States

Keywords

Optimization, Control systems, Engineering, 330, Pulse-width-modulation, Two-point boundary value problems, Electronics and Electrical, Numerical methods, Calculus of variations, 004

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