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Journal Articles International Journal of Robust and Nonlinear Control Year : 2021

Conditions for stabilizability of time-delay systems with real-rooted plant

Abstract

In this paper we consider the-stabilization of th-order linear time-invariant (LTI) dynamical systems using Multiplicity-Induced-Dominancy (MID)-based controller design in the presence of delays in the input or the output channels. A sufficient condition is given for the dominancy of a real root with multiplicity at least n + 1 and at least using an integral factorization of the corresponding characteristic function. A necessary condition for-stabilizability is analyzed utilizing the property that the derivative of \alpha-stable quasipolynomial is also-stable under certain conditions. Sufficient and necessary conditions are given for systems with real-rooted open loop characteristic function: the delay intervals are determined where the conditions for dominancy and \alpha-stabilizability are satisfied. The efficiency of the proposed controller design is shown in the case of a multi-link inverted pendulum.
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Dates and versions

hal-03277678 , version 1 (04-07-2021)

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Cite

Tamas Balogh, Islam Boussaada, Tamas Insperger, Silviu-Iulian Niculescu. Conditions for stabilizability of time-delay systems with real-rooted plant. International Journal of Robust and Nonlinear Control, 2021, ⟨10.1002/rnc.5698⟩. ⟨hal-03277678⟩
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