In this paper we address the computation of the Bode plots for linear time-invariant systems affected by semialgebraic parameteric uncertainty. The problem of computing Bode magnitude and phase bounds is formulated in terms of non-convex semialgebraic optimization and solved by means of semidefinite (SDP) relaxation techniques. Simulation examples are provided to illustrate the effectiveness of the proposed technique.

Bode envelope bounds computation for linear time-invariant systems affected by semialgebraic parametric uncertainty / Cerone, V.; Fosson, S.; Regruto, D.; Salam, A.. - ELETTRONICO. - (2020), pp. 247-252. ((Intervento presentato al convegno 16th IEEE international conference on control & automation (ICCA 2020) tenutosi a Sapporo, Hokkaido, Japan nel October 9-11, 2020 [10.1109/ICCA51439.2020.9264418].

Bode envelope bounds computation for linear time-invariant systems affected by semialgebraic parametric uncertainty

V. Cerone;S. Fosson;D. Regruto;A. Salam
2020

Abstract

In this paper we address the computation of the Bode plots for linear time-invariant systems affected by semialgebraic parameteric uncertainty. The problem of computing Bode magnitude and phase bounds is formulated in terms of non-convex semialgebraic optimization and solved by means of semidefinite (SDP) relaxation techniques. Simulation examples are provided to illustrate the effectiveness of the proposed technique.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11583/2846105