https://doi.org/10.1140/epjs/s11734-024-01302-3
Regular Article
An enhanced 
filtering delay dependent criteria for continuous systems with varying time-delays
Department of Mathematics, Bannari Amman Institute of Technology, 638401, Sathyamangalam, Tamilnadu, India
Received:
30
April
2024
Accepted:
3
August
2024
Published online:
2
September
2024
This paper examines the challenge of designing filters for continuous systems with varying time delays. The filter design incorporates potential variations in gain due to implementation inaccuracies. The new delay-dependent performance is derived by using a novel Lyapunov–Krasovskii functional (LKF) and by employing novel free weighting matrices. The paper establishes existence of filters in terms of linear matrix inequality (LMI). To demonstrate the proposed method’s effectiveness, apply it to a vertical take-off and landing (VTOL) helicopter system in the numerical section.
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