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Robust Control for Uncertain Linear System Subject to Input Saturation
Author(s) -
Qingyun Yang,
Mou Chen
Publication year - 2014
Publication title -
journal of applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.307
H-Index - 43
eISSN - 1687-0042
pISSN - 1110-757X
DOI - 10.1155/2014/803842
Subject(s) - control theory (sociology) , nonlinear system , disturbance (geology) , controller (irrigation) , observer (physics) , linear system , computer science , linear matrix inequality , lyapunov function , robust control , mathematics , control (management) , mathematical optimization , artificial intelligence , paleontology , mathematical analysis , physics , quantum mechanics , agronomy , biology
A robust control scheme using composite nonlinear feedback (CNF) technology is proposed to improve tracking control performance for the uncertain linear system with input saturation and unknown external disturbances. A disturbance observer is presented to estimate the unknown disturbance generated by a linear exogenous system. The designed gain matrix of the disturbance observer is determined by solving linear matrix inequalities (LMIs). Based on the output of the designed disturbance observer, a robust CNF controller including a linear feedback control item and a nonlinear item is developed to follow the desired tracking signals. The linear feedback controller is designed using LMIs and the stability of the closed-loop system is proved via rigorous Lyapunov analysis. Finally, the extensive simulation results are presented to illustrate the effectiveness of the proposed control scheme

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