An LMI approach to compute robust stability domains for uncertain linear systems
Published 1 January 2001
D.C.W. Ramos, Pedro L. D. Peres
Citations31
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TL;DR
A simple and constructive way to establish maximum robust stability domains for continuous-time uncertain linear systems with convex bounded uncertainties with linear matrix inequalities is proposed in this paper.
Abstract
A simple and constructive way to establish maximum robust stability domains for continuous-time uncertain linear systems with convex bounded uncertainties is proposed in,this paper. The results are based on sufficient conditions formulated in terms of linear matrix inequalities, which provide a parameter dependent Lyapunov function that assures the stability of any matrix inside the uncertainty domain. The numerical procedures are entirely based on unidimensional search and linear matrix inequalities feasibility tests.
Keywords
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