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The improved H ∞ controller design for nonlinear networked control systems with random communication delays
Author(s) -
Nian Xiaohong,
Dai Liqiong,
Sun Miaoping,
Wang Haibo,
Guo Hua
Publication year - 2016
Publication title -
optimal control applications and methods
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.458
H-Index - 44
eISSN - 1099-1514
pISSN - 0143-2087
DOI - 10.1002/oca.2263
Subject(s) - control theory (sociology) , observer (physics) , convex optimization , linearization , nonlinear system , lyapunov function , attenuation , linear matrix inequality , controller (irrigation) , mathematics , constant (computer programming) , h infinity methods in control theory , networked control system , computer science , regular polygon , control (management) , mathematical optimization , agronomy , physics , geometry , quantum mechanics , artificial intelligence , optics , biology , programming language
Summary This paper is concerned with the observer‐based H ∞ controller design problem for nonlinear networked control systems with random communication delays. Firstly, the dynamic observer‐based control scheme is modelled, where the control input of the observer is different from the control input of the plant. Then, a less conservative delay‐dependent H ∞ stabilization criterion is derived by using an improved Lyapunov function. And the proof of stabilization criterion is completed in terms of four cases when the time delays in two communication channels are constant or time‐varying, respectively. The derived stabilization criterion is formulated in the form of a non‐convex matrix inequality, which can be solved by an optimal cone complementary linearization iteration algorithm to obtain the minimum disturbance attenuation level. Finally, several numerical examples and an illustrative example are provided to clarify the effectiveness and merits of the proposed method. Copyright © 2016 John Wiley & Sons, Ltd.