Volume 23, Issue 4 e202300152
RESEARCH ARTICLE

Input-to-state stability of a time-invariant system with control delay and additive disturbances

Ioan Ursu

Ioan Ursu

INCAS – National Institute for Aerospace Research “Elie Carafoli”, Bucharest, Romania

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Adrian Toader

Adrian Toader

INCAS – National Institute for Aerospace Research “Elie Carafoli”, Bucharest, Romania

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George Tecuceanu

George Tecuceanu

INCAS – National Institute for Aerospace Research “Elie Carafoli”, Bucharest, Romania

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Daniela Enciu

Corresponding Author

Daniela Enciu

INCAS – National Institute for Aerospace Research “Elie Carafoli”, Bucharest, Romania

Correspondence

Daniela Enciu, INCAS – National Institute for Aerospace Research “Elie Carafoli”, 220 Iuliu Maniu Blvd., Bucharest, Romania.

Email: [email protected]

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First published: 13 October 2023

Abstract

We consider a class of linear time invariant systems with control delay and additive disturbances. A state predictive feedback method is first applied to compensate the actuator delay. In this way, a closed loop system free of delay is achieved. It allows to ensure input-to-state-stability of the closed loop system. Applications are given for the lateral-directional stability of an airplane with two controls, on the aileron and on the rudder, in correlation with compliance with some regulatory flight conditions.

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