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Robust H∞ Output Tracking Control with Partly Quantized Information
Author(s) -
Ge Yang,
Wang Jingcheng,
Zhang Langwen,
Li Chuang
Publication year - 2015
Publication title -
asian journal of control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.769
H-Index - 53
eISSN - 1934-6093
pISSN - 1561-8625
DOI - 10.1002/asjc.958
Subject(s) - control theory (sociology) , quantization (signal processing) , complementarity (molecular biology) , convex optimization , mathematics , state (computer science) , controller (irrigation) , computer science , control system , linear matrix inequality , stability (learning theory) , control (management) , regular polygon , mathematical optimization , engineering , algorithm , artificial intelligence , geometry , electrical engineering , machine learning , biology , agronomy , genetics
This paper is concerned with the stability and output tracking problems of networked control systems (NCSs) with partly quantized information. Both the remote and local systems are considered. The state variables transported from the remote system experiences time delays and quantization errors, while the local state variables do not. The purpose is to design a state feedback controller which guarantees that the output of the local system tracks the output of the remote system in the H∞ sense. This consideration is widely appeared in remote assistant systems. Based on the Lyapunov–Krasovskii (L‐K) functional approach, sufficient conditions on the existence of a quantized robust H∞ output tracking controller for NCSs are presented in terms of bilinear matrix inequalities (BMIs). Furthermore, a cone complementarity algorithm is used to convert these BMIs into a convex optimization problem. Finally, a simulation example is given to demonstrate the efficiency of the proposed method.