Robust stability and performance analysis of 2D mixed continuous-discrete-time systems with uncertainty

Title: Robust stability and performance analysis of 2D mixed continuous-discrete-time systems with uncertainty
Creator: Chesi, Graziano; Middleton, Richard H.
Relation: Automatica Vol. 67, Issue May 2016, p. 233-243
Publisher Link: http://dx.doi.org/10.1016/j.automatica.2016.01.042
Publisher: Elsevier
Resource Type: journal article
Date: 2016
Description: This paper investigates 2D mixed continuous–discrete-time systems whose coefficients are polynomial functions of an uncertain vector constrained into a semialgebraic set. It is shown that a nonconservative linear matrix inequality (LMI) condition for ensuring robust stability can be obtained by introducing complex Lyapunov functions depending polynomially on the uncertain vector and a frequency. Moreover, it is shown that nonconservative LMI conditions for establishing upper bounds of the robust H_∞ and H₂ norms can be obtained by introducing analogous Lyapunov functions depending rationally on the frequency. Some numerical examples illustrate the proposed methodology.
Subject: 2D systems; uncertainty; robust stability; robust performance
Identifier: http://hdl.handle.net/1959.13/1323044
Identifier: uon:24720
Identifier: ISSN:0005-1098
Language: eng
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