Artículos de revistas
A convex optimization procedure to compute H-2 and H-infinity norms for uncertain linear systems in polytopic domains
Registro en:
Optimal Control Applications & Methods. John Wiley & Sons Ltd, v. 29, n. 4, n. 295, n. 312, 2008.
0143-2087
WOS:000258715600003
10.1002/oca.825
Autor
Oliveira, RCLF
Peres, PLD
Institución
Resumen
In this paper, a convergent numerical procedure to compute H-2 and H-infinity norms of uncertain time-invariant linear systems in polytopic domains is proposed. The norms are characterized by means of homogeneous polynomially parameter-dependent Lyapunov functions of arbitrary degree g solving parameter-dependent linear matrix inequalities. Using an extension of Polya's Theorem to the case of matrix-valued polynomials, a sequence of linear matrix inequalities is constructed in terms of an integer d providing a Lyapunov solution for a given degree g and guaranteed H-2 and H-infinity costs whenever such a solution exists. As the degree of the homogeneous polynomial matrices increases, the guaranteed costs tend to the worst-case norm evaluations in the polytope. Both continuous- and discrete-time uncertain systems are investigated, as illustrated by numerical examples that include comparisons with other techniques from the literature. Copyright (C) 2007 John Wiley & Sons, Ltd. 29 4 295 312