Tracking for nonlinear plants with multiple unknown time‐varying state delays using sliding mode with adaptation | Zendy

Mirkin Boris | Zendy; Gutman PerOlof | Zendy; Shtessel Yuri | Zendy

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Tracking for nonlinear plants with multiple unknown time‐varying state delays using sliding mode with adaptation

Author(s) -

Mirkin Boris,

Gutman PerOlof,

Shtessel Yuri

Publication year - 2010

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.1518

Subject(s) - control theory (sociology) , nonlinear system , sliding mode control , perturbation (astronomy) , computer science , lyapunov stability , adaptive control , lyapunov function , state (computer science) , adaptation (eye) , mathematics , control (management) , artificial intelligence , algorithm , physics , quantum mechanics , optics

In this paper, we develop a sliding mode model reference adaptive control (MRAC) scheme for a class of nonlinear dynamic systems with multiple time‐varying state delays, which is robust with respect to unknown plant delays, to a nonlinear perturbation, and to an external disturbance with unknown bounds. An appropriate Lyapunov–Krasovskii‐type functional is introduced to design the adaptation algorithms, and to prove stability. Copyright © 2009 John Wiley & Sons, Ltd.

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