Title :
Convex relaxations for robust control problems
Author :
Vicino, Antonio ; Garulli, Andrea
Author_Institution :
Dipt. di Ing. dell´Inf., Univ. di Siena, Rome, Italy
Abstract :
Several problems relevant to robust analysis and design of control systems can be formulated in terms of positivity of polynomial forms. Sufficient conditions for testing positivity of polynomials have been recently cast as LMI feasibility tests, thus providing the theoretical basis to devise families of convex relaxations for several classes of nonconvex problems. Therefore, it is now possible to tackle such problems by exploiting efficient convex optimization tools.
Keywords :
control system synthesis; convex programming; linear matrix inequalities; polynomials; robust control; LMI feasibility test; control system design; convex optimization tools; convex relaxations; nonconvex problems; polynomial form positivity; robust analysis; robust control problems; Convex functions; Linear matrix inequalities; Lyapunov methods; Optimization; Polynomials; Robust control; Robustness;
Conference_Titel :
Control Conference (ECC), 2007 European
Conference_Location :
Kos
Print_ISBN :
978-3-9524173-8-6
