Further results on H-infinity Filtering Design for Continuous Time-Systems With Time-Varying Delay Systems: Three Term Approximation Approach

H. El Aiss , T. Zoulagh (1) , A. Hmamed (1) , A. El Hajjaji (2) , J. Bosche

1 LESSI-départment de physique
2 MIS - Modélisation, Information et Systèmes - UR UPJV 4290

This paper focuses on H-infinity filter design for systems with time-varying delay using Input Output approach. A new approximation of time varying delay is firstly proposed. Based on scaled small gain theorem and Lyapunov-Krasovskii approach, a novel asymptotic stability criterion of the filtering error system is established. Thus, The H-infinity full- and reduced-order filters are designed in terms of linear matrix inequalities (LMIs). Finally, illustrative example is presented to demonstrate the validity of the proposed method.

Domaines: Automatique / Robotique

H. El Aiss, T. Zoulagh, A. Hmamed, A. El Hajjaji, J. Bosche. Further results on H-infinity Filtering Design for Continuous Time-Systems With Time-Varying Delay Systems: Three Term Approximation Approach. 2018 7TH INTERNATIONAL CONFERENCE ON SYSTEMS AND CONTROL (ICSC), Oct 2018, Valencia, Spain. pp.313-320. ⟨hal-03633225⟩