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
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;
Conference_Titel :
Control Conference (ECC), 2007 European
Conference_Location :
Kos
Print_ISBN :
978-3-9524173-8-6
