Premium
Robust H ∞ control for a class of uncertain neutral‐type systems with time‐varying delays
Author(s) -
Meng Xin,
Gao Cunchen,
Liu Zhen,
Jiang Baoping
Publication year - 2021
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.2298
Subject(s) - control theory (sociology) , observer (physics) , class (philosophy) , attenuation , type (biology) , linear matrix inequality , robust control , mathematics , exponential stability , function (biology) , matrix (chemical analysis) , computer science , control system , control (management) , mathematical optimization , engineering , nonlinear system , physics , ecology , materials science , electrical engineering , quantum mechanics , artificial intelligence , evolutionary biology , optics , composite material , biology
Abstract This paper investigates the problem of robustH ∞asymptotic stabilization for a class of uncertain neutral‐type systems with time‐varying delays. A sufficient condition is obtained to ensure the considered system is robust asymptotic stabilization with disturbance attenuation level γ , which is based on the sliding mode observer framework. Meanwhile, a novel integral sliding surface function with the compensator is proposed to make sure the considered system can be stabilized. And the gain matrix is obtained by solving a strict linear matrix inequality. Finally, two numerical examples are provided to demonstrate the validity and potential of the proposed method.