Open AccessObserver‐based ℓ 2 − ℓ ∞ control of 2D Roesser systems with random packet dropout
Author(s) -
Van Hien Le,
LanHuong Nguyen Thi
Publication year - 2020
Publication title -
iet control theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.059
H-Index - 108
eISSN - 1751-8652
pISSN - 1751-8644
DOI - 10.1049/iet-cta.2019.0831
Subject(s) - control theory (sociology) , observer (physics) , linear matrix inequality , mathematics , multiplicative function , controller (irrigation) , lyapunov function , network packet , basis (linear algebra) , stability (learning theory) , computer science , control (management) , mathematical optimization , nonlinear system , computer network , physics , quantum mechanics , artificial intelligence , machine learning , mathematical analysis , geometry , agronomy , biology
This study is concerned with the problem of observer‐based ℓ 2 – ℓ ∞control of two‐dimensional (2D) discrete‐time Roesser systems with exogenous disturbances. The control channel is subject to random packet dropouts and the closed‐loop dynamics is presented as a 2D system with stochastic multiplicative noises in the system state and output vectors. Based on a Lyapunov‐like scheme, tractable conditions in terms of linear matrix inequalities (LMIs) are derived to ensure that the closed‐loop system is ℓ 2 – ℓ ∞stable with a prescribed attenuation level. On the basis of the derived stability conditions, the design parameters of an observer‐based controller are obtained through an LMI setting. A numerical example with simulations is given to illustrate the effectiveness of the design method.