caa a22 4500 606205217 CHVBK 20210128101006.0 cr unu---uuuuu 210128e20150901xx s 000 0 eng 10.1007/s00034-015-9991-x doi (NATIONALLICENCE)springer-10.1007/s00034-015-9991-x Robust $$L_2-L_{\infty }$$ L 2 - L ∞ Control for Uncertain Systems with Additive Delay Components [Elektronische Daten] [S. Selvi, R. Sakthivel, K. Mathiyalagan] This paper is concerned with the problem of robust $$L_2-L_\infty $$ L 2 - L ∞ control for a class of uncertain systems with additive time-varying delays. Delay-dependent conditions are obtained for the analysis of robust asymptotic stability of uncertain closed-loop system with two additive time-varying delays using a novel Lyapunov-Krasovskii functional which includes information belonging to a given delay range. More precisely, a new set of sufficient conditions are derived in terms of linear matrix inequalities (LMIs) for achieving the required result of the closed-loop system with a prescribed $$L_2-L_\infty $$ L 2 - L ∞ disturbance attenuation level. In particular, Schur complement, Wirtinger's based inequality and convex combination technique are utilized to simplify the derivation in the main results. Further, the robust control law with guaranteed energy-to-peak $$L_2-L_\infty $$ L 2 - L ∞ performance is designed by solving a set of LMIs. Also, it is noticed that the advantage of the obtained criterion lies in its simplicity and less conservativeness. The proposed theoretical results have been compared through numerical simulation which reveals that the obtained criteria are considerably less conservative than some existing results. Springer Science+Business Media New York, 2015 Robust $$ L_2-L_\infty $$ L 2 - L ∞ control nationallicence Additive time-varying delays nationallicence Asymptotic stabilization nationallicence Selvi S. Department of Mathematics, Chettinad College of Engineering and Technology, 639 114, Karur, Tamilnadu, India aut Sakthivel R. Department of Mathematics, Sungkyunkwan University, 440 746, Suwon, Republic of Korea aut Mathiyalagan K. Department of Mathematics, Anna University-Regional Centre, 641 047, Coimbatore, Tamilnadu, India aut Circuits, Systems, and Signal Processing Springer US; http://www.springer-ny.com 34/9(2015-09-01), 2819-2838 0278-081X 34:9<2819 2015 34 34 https://doi.org/10.1007/s00034-015-9991-x text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s00034-015-9991-x text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Selvi S. Department of Mathematics, Chettinad College of Engineering and Technology, 639 114, Karur, Tamilnadu, India aut NATIONALLICENCE 700 1- Sakthivel R. Department of Mathematics, Sungkyunkwan University, 440 746, Suwon, Republic of Korea aut NATIONALLICENCE 700 1- Mathiyalagan K. Department of Mathematics, Anna University-Regional Centre, 641 047, Coimbatore, Tamilnadu, India aut NATIONALLICENCE 773 0- Circuits, Systems, and Signal Processing Springer US; http://www.springer-ny.com 34/9(2015-09-01), 2819-2838 0278-081X 34:9<2819 2015 34 34