Input‐to‐output stabilization of nonlinear systems via backstepping | Zendy

Efimov D. V. | Zendy; Fradkov A. L. | Zendy

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Input‐to‐output stabilization of nonlinear systems via backstepping

Author(s) -

Efimov D. V.,

Fradkov A. L.

Publication year - 2009

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.1336

Subject(s) - backstepping , control theory (sociology) , nonlinear system , extension (predicate logic) , actuator , computer science , lyapunov function , control engineering , set (abstract data type) , stability (learning theory) , lyapunov stability , nonlinear control , inverted pendulum , control (management) , mathematics , engineering , adaptive control , artificial intelligence , programming language , physics , quantum mechanics , machine learning

An extension of backstepping method for stabilization of nonlinear systems with respect to a set is presented. Robust control laws providing the system with input‐to‐output stability are proposed. Possibilities of non‐strict Lyapunov functions' application are discussed. The differences between a conventional backstepping method and an approach proposed in Kolesnikov ( Synergetic Control Theory . Energoatomizdat: Moscow, 1994; 344) are analyzed. Performance of the obtained solutions is demonstrated by computer simulation for pendulum with actuator example. Copyright © 2008 John Wiley & Sons, Ltd.

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