caa a22 4500 606206205 CHVBK 20210128101010.0 cr unu---uuuuu 210128e20150801xx s 000 0 eng 10.1007/s00034-015-9984-9 doi (NATIONALLICENCE)springer-10.1007/s00034-015-9984-9 Non-fragile Observer-Based $${\mathcal {H}}_{\infty }$$ H ∞ Control for Discrete-Time Systems Using Passivity Theory [Elektronische Daten] [K. Mathiyalagan, Ju Park, H. Jung, R. Sakthivel] In this paper, non-fragile observer-based $${\mathcal {H}}_{\infty }$$ H ∞ controller design is investigated for a class of discrete-time systems. The system under consideration is assumed to have random fluctuations in both the state feedback controller gain and observer gain matrices. The random fluctuations are defined using Bernoulli-distributed white sequences with time-varying probability measures. The probability-dependent controller gains are designed to guarantee the stochastic stability of the system with a prescribed mixed $${\mathcal {H}}_{\infty }$$ H ∞ and passivity performance. Lyapunov stability theory, passivity theory and a linear matrix inequality (LMI) approach are used to derive sufficient conditions for the existence of the state feedback controller and observer gains. The probability-dependent gain-scheduled controllers are designed based on a convex optimization problem using a set of LMIs, which can be easily solved with standard numerical packages. Finally, a practical application is presented as an example to illustrate the effectiveness and potential of the method. Springer Science+Business Media New York, 2015 Networked control system nationallicence $${\mathcal {H}}_{\infty }$$ H ∞ control nationallicence Passivity nationallicence Probability-dependent condition nationallicence Observer design nationallicence Mathiyalagan K. Department of Electrical Engineering/Information and Communication Engineering, Yeungnam University, 280 Daehak-Ro, 712-749, Kyongsan, Republic of Korea aut Park Ju Department of Electrical Engineering/Information and Communication Engineering, Yeungnam University, 280 Daehak-Ro, 712-749, Kyongsan, Republic of Korea aut Jung H. Department of Electrical Engineering/Information and Communication Engineering, Yeungnam University, 280 Daehak-Ro, 712-749, Kyongsan, Republic of Korea aut Sakthivel R. Department of Mathematics, Sungkyunkwan University, 440 746, Suwon, Republic of Korea aut Circuits, Systems, and Signal Processing Springer US; http://www.springer-ny.com 34/8(2015-08-01), 2499-2516 0278-081X 34:8<2499 2015 34 34 https://doi.org/10.1007/s00034-015-9984-9 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/s00034-015-9984-9 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Mathiyalagan K. Department of Electrical Engineering/Information and Communication Engineering, Yeungnam University, 280 Daehak-Ro, 712-749, Kyongsan, Republic of Korea aut NATIONALLICENCE 700 1- Park Ju Department of Electrical Engineering/Information and Communication Engineering, Yeungnam University, 280 Daehak-Ro, 712-749, Kyongsan, Republic of Korea aut NATIONALLICENCE 700 1- Jung H. Department of Electrical Engineering/Information and Communication Engineering, Yeungnam University, 280 Daehak-Ro, 712-749, Kyongsan, Republic of Korea aut NATIONALLICENCE 700 1- Sakthivel R. Department of Mathematics, Sungkyunkwan University, 440 746, Suwon, Republic of Korea aut NATIONALLICENCE 773 0- Circuits, Systems, and Signal Processing Springer US; http://www.springer-ny.com 34/8(2015-08-01), 2499-2516 0278-081X 34:8<2499 2015 34 34