Actas de congresos
Gain-scheduled H∞-control For Discrete-time Polytopic Lpv Systems Using Homogeneous Polynomially Parameter-dependent Lyapunov Functions
Registro en:
9783902661456
Ifac Proceedings Volumes (ifac-papersonline). , v. 6, n. PART 1, p. 19 - 24, 2009.
14746670
10.3182/20090616-3-IL-2002.0021
2-s2.0-78650820444
Autor
De Caigny J.
Camino J.F.
Oliveira R.C.L.F.
Peres P.L.D.
Swevers J.
Institución
Resumen
This paper presents H∞ performance analysis and control synthesis for discrete-time linear systems with time-varying parameters. The parameters are assumed to vary inside a polytope and have known bounds on their rate of variation. The geometric properties of the polytopic domain are exploited to derive parameter-dependent linear matrix inequality conditions that consider the bounds on the rate of variation of the parameters. A systematic procedure is proposed to construct a family of finite-dimensional relaxations based on Pólya's Theorem and a homogeneous polynomially parameter dependent parameterization of arbitrary degree for the Lyapunov matrix. 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