Stability and Stabilisation Through Envelopes for Retarded and Neutral Time-Delay Systems

Caetano Cardeliquio (1, 2) , André Fioravanti (2) , Catherine Bonnet (1) , Silviu-Iulian Niculescu (1)

1 DISCO - Dynamical Interconnected Systems in COmplex Environments
2 IC - Institute of Computing [Campinas]

This paper deals with a new approach to develop an envelope that engulfs all poles of a time-delay system. Through LMIs we are able to determine envelopes for retarded and neutral time-delay systems. The envelopes proposed are not only tighter than the ones in the literature but, with our procedure, they can also be applied to verify the stability of the system and design state-feedback controllers which cope with design requirements regarding alpha stability.

Domains: Computer Science [cs]; Automatic Control Engineering

Caetano Cardeliquio, André Fioravanti, Catherine Bonnet, Silviu-Iulian Niculescu. Stability and Stabilisation Through Envelopes for Retarded and Neutral Time-Delay Systems. IEEE Transactions on Automatic Control, inPress, 65 (4), pp.1640-1646. ⟨10.1109/TAC.2019.2929092⟩. ⟨hal-02350927⟩