Robust local stabilization of discrete time-varying delayed state systems under saturating actuators

• Published in: Automatica (Oxford) Vol. 122; p. 109266
• Main Authors: Castro, Michelle F.F., Seuret, Alexandre, Leite, Valter J.S., Silva, Luis F.P.
• Format: Journal Article
• Language: English
• Published: Elsevier Ltd 01-12-2020; Elsevier
• Subjects: Automatic; Engineering Sciences; Robust control; Saturating input; Time-varying discrete-time systems; Time-varying state-delays; Time-varying state-delays; Robust control; Saturating input; Time-varying discrete-time systems
• ISSN: 0005-1098; 1873-2836
• DOI: 10.1016/j.automatica.2020.109266

This paper deals with discrete time-varying systems with state-delayed and saturating actuators. A robust state feedback control gain is designed through convex methods ensuring the local stability of the time-varying system with interval time-varying state delay. The estimate of the set of admissible initial conditions is characterized by three convex sets allowing less conservative estimates. Through two numerical examples, we compare our approach with others in the literature and illustrate the better behavior of the proposed methods.