Abstract:
This paper investigates the problem of parameter-dependent state feedback control of continuous-time systems in the context of finite time stability. The controller is de...Show MoreMetadata
Abstract:
This paper investigates the problem of parameter-dependent state feedback control of continuous-time systems in the context of finite time stability. The controller is designed in order to guarantee that the closed-loop system is finite time stable. The system is considered time varying with the parameters modeled within a unit simplex. The design conditions obtained by means of Lyapunov functions are expressed as linear matrix inequalities. The finite time stability is assessed by using homogeneous polynomially parameter-dependent state feedback gains with arbitrary degree g. LMI relaxations are proposed based on Pólya's theorem. A controller is obtained by the solution of a factibility problem and the effect of the relaxation procedures analyzed by an optimization problem. Numerical examples are provided.
Published in: 2013 European Control Conference (ECC)
Date of Conference: 17-19 July 2013
Date Added to IEEE Xplore: 02 December 2013
Electronic ISBN:978-3-033-03962-9