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Bounded control of feedforward time‐delay systems with linearized systems consisting of chain of oscillators
Author(s) -
Yang Xuefei,
Zhou Bin,
Lam James
Publication year - 2018
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.4389
Subject(s) - control theory (sociology) , feed forward , decoupling (probability) , bounded function , nonlinear system , feedback control , stability (learning theory) , control (management) , property (philosophy) , mathematics , computer science , control engineering , engineering , physics , mathematical analysis , philosophy , epistemology , quantum mechanics , artificial intelligence , machine learning
Summary For the global stabilization of a family of feedforward nonlinear time‐delay systems whose linearized systems consist of a chain of identical oscillators, a saturated feedback control is established based on a special canonical form. The proposed control laws use not only the current states but also the delayed states for feedback, which helps maintain the decoupling property in the recursive design. Moreover, explicit conditions guaranteeing the stability of the closed‐loop system are provided. When the nonlinear terms vanish and even the oscillators are distinct, a modified saturated feedback control can still be established for the corresponding global stabilization problem. Two numerical examples are given to illustrate the effectiveness of the proposed approaches.