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Event‐triggered observer‐based robust H ∞ control for networked control systems with unknown disturbance
Author(s) -
Li Tao,
Wang Ting,
Zhai Junyong,
Fei Shumin
Publication year - 2020
Publication title -
international journal of robust and nonlinear control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.361
H-Index - 106
eISSN - 1099-1239
pISSN - 1049-8923
DOI - 10.1002/rnc.4898
Subject(s) - control theory (sociology) , disturbance (geology) , controller (irrigation) , computer science , stability (learning theory) , linear matrix inequality , state (computer science) , scheme (mathematics) , event (particle physics) , lyapunov function , control (management) , exponential stability , control system , adaptive control , robust control , mathematics , mathematical optimization , engineering , algorithm , artificial intelligence , nonlinear system , paleontology , physics , electrical engineering , quantum mechanics , machine learning , agronomy , mathematical analysis , biology
Summary In this article, the event‐triggered robust H ∞ control is studied for a class of uncertain networked control systems (NCSs) subject to unknown state and variable disturbance. First, aiming to decrease the unnecessary transmissions of sampled data, an efficient adaptive event‐triggered scheme (AETS) is presented, which can reflect the full real‐time variation of addressed NCSs and help to reduce the conservativeness. Second, based on the triggered output signals and disturbance model, two effective observers are, respectively, exploited to estimate the state and disturbance, which are further utilized to reject the disturbance and design the controller. By using the overall closed‐loop system and selecting an augmented Lyapunov‐Krasovskii functional, two sufficient conditions on jointly designing the adaptive event scheme, observers, and controller are established via linear matrix inequality forms, which can guarantee the global exponential stability and ensure H ∞ performance. Finally, some simulations and comparisons in a numerical example are provided to demonstrate the effectiveness of the derived results.