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Article Dans Une Revue International Journal of Control Année : 2024

On the finite-time stability and stabilisation of LTI systems via an S-variable approach

Résumé

This paper deals with the finite-time boundedness (FTB) of linear time-invariant systems that are affected by a disturbance generated by an exosystem. By using a time-invariant quadratic Lyapunov function, Finsler's lemma and a dual system approach, new sufficient linear matrix inequalities (LMIs) conditions are given for analysis and synthesis for FTB. These results are extended: first, to finite-time stability (FTS) of linear time-invariant systems, second, to their input–output FTS associated, or not, to FTB. All the conditions are given in terms of LMIs, which make them easily tractable. Finally, the computational efficiency and the conservatism reduction of our approach are illustrated through an illustrative example.
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Dates et versions

hal-04212360 , version 1 (20-09-2023)

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Nada Elghoul, Cédric Delattre, Bassem Bhiri, Michel Zasadzinski, Kamel Abderrahim. On the finite-time stability and stabilisation of LTI systems via an S-variable approach. International Journal of Control, 2024, 97 (4), pp.884-895. ⟨10.1080/00207179.2023.2180828⟩. ⟨hal-04212360⟩
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