Energy and power optimization in a behavioural framework

Author

Van der Geest, Robert ; Trentelman, Harry

Author_Institution

ABB Corp. Res., Billingstad, Norway

Volume

1

fYear

1998

fDate

6/20/1905 12:00:00 AM

Firstpage

114

Abstract

We deal with a number of quadratic optimization problems in the behavioural framework, in the spirit of the classical linear quadratic regulator problem for systems in state-space form. The central theme is dissipativity of the system at hand: we interpret our problems in terms of the exchange of energy between the system and the outside world. Using the Kalman-Yakubovich-Popov lemma in the behavioural framework, we arrive at energy and power optimizing control laws in terms of the solutions to a linear matrix inequality in the original data that is used to specify the problems

Keywords

linear quadratic control; linear systems; matrix algebra; optimisation; state-space methods; Kalman-Yakubovich-Popov lemma; dissipativity; linear matrix inequality; linear quadratic control; linear systems; optimal control; power optimization; quadratic differential form; quadratic optimization; state-space; Control theory; Differential equations; Energy storage; Hydrogen; Kalman filters; Linear matrix inequalities; Linear systems; Mathematics; Optimal control; Regulators;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1998. Proceedings of the 37th IEEE Conference on

ISSN

0191-2216

Print_ISBN

0-7803-4394-8

Type

conf

DOI

10.1109/CDC.1998.760599

Filename

760599