Linear Quadratic Control under Quadratic Constraints
Författare
Summary, in English
The linear quadratic optimal control problem under quadratic constraints is an optimization problem over a generally non-convex set. Yakubovich [8] and Megretski [4] have studied this problem, and they show how it may be translated into a two-stage, convex optimization problem. In this paper we study the linear quadratic control problem under quadratic constraints for generalized first-order systems. As in the state-space case the linear quadratic control problem without quadratic constraints may be solved in terms of a linear matrix inequality. Subsequently, we use the results from [8] to derive a linear matrix inequality characterizing the linear quadratic optimal behaviour under quadratic constraints.
Avdelning/ar
Publiceringsår
1997
Språk
Engelska
Sidor
3363-3368
Publikation/Tidskrift/Serie
1997 European Control Conference (ECC)
Dokumenttyp
Konferensbidrag
Ämne
- Control Engineering
Conference name
4th European Control Conference, 1997
Conference date
1997-07-01 - 1997-07-04
Conference place
Brussels, Belgium
Status
Published
ISBN/ISSN/Övrigt
- ISBN: 978-3-9524269-0-6