Artículos de revistas
Gain-scheduled H-2 and H-infinity control of discrete-time polytopic time-varying systems
Registration in:
Iet Control Theory And Applications. Inst Engineering Technology-iet, v. 4, n. 3, n. 362, n. 380, 2010.
1751-8644
WOS:000275815400005
10.1049/iet-cta.2008.0364
Author
De Caigny, J
Camino, JF
Oliveira, RCLF
Peres, PLD
Swevers, J
Institutions
Abstract
Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES) Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) This study presents H-2 and H-infinity performance analysis and synthesis procedures for the design of both gain-scheduled and robust static output feedback controllers for discrete-time linear systems with time-varying parameters. The obtained controllers guarantee an upper bound on the H-2 or H-infinity performance of the closed-loop system. As an immediate extension, the mixed H-2/H-infinity guaranteed cost control problem is also addressed. The scheduling parameters vary inside a polytope and are assumed to be a priori unknown, but measured in real-time. If bounds on the rate of parameter variation are known, they can be taken into account, providing less conservative results. The geometric properties of the polytopic domain are exploited to derive finite sets of linear matrix inequalities (LMIs) based on the existence of a parameter-dependent Lyapunov function. An application of the methodology to a realistic vibroacoustic problem, with experimentally obtained data, illustrates the benefits of the proposed approach and shows that the techniques can be used for real engineering problems. 4 3 362 380 Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES) Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) Research Foundation - Flanders (FWO - Vlaanderen) [G.0446.06] Belgian Federal Science Policy Office [BOF EF/05/006] Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES) Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) Research Foundation - Flanders (FWO - Vlaanderen) [G.0446.06] Belgian Federal Science Policy Office [BOF EF/05/006]