DocumentCode
2161112
Title
Controller coefficient truncation using Lyapunov performance certificate
Author
Skaf, Joelle ; Boyd, Stephen P.
Author_Institution
Dept. of Electr. Eng., Stanford Univ., Stanford, CA, USA
fYear
2007
fDate
2-5 July 2007
Firstpage
4699
Lastpage
4706
Abstract
We describe a method for truncating the coefficients of a linear controller while guaranteeing that a given set of relaxed performance constraints is met. Our method sequentially and greedily truncates individual coefficients, using a Lyapunov certificate, typically in linear matrix inequality (LMI) form, to guarantee performance. Numerical examples show that the method is surprisingly effective at finding controllers with aggressively truncated coefficients, that meet typical performance constraints.
Keywords
Lyapunov methods; linear matrix inequalities; linear systems; LMI; Lyapunov performance certificate; controller coefficient truncation; linear controller; linear matrix inequality; relaxed performance constraints; Algorithm design and analysis; Complexity theory; Eigenvalues and eigenfunctions; Indexes; Linear matrix inequalities; Optimization; Vectors; Coefficient truncation; Lyapunov function; decay rate; linear matrix inequality; state-feedback controller;
fLanguage
English
Publisher
ieee
Conference_Titel
Control Conference (ECC), 2007 European
Conference_Location
Kos
Print_ISBN
978-3-9524173-8-6
Type
conf
Filename
7068551
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