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Impulsive second‐order sliding mode control in reduced information environment
Author(s) -
Aldukali Fathi M.,
Shtessel Yuri B.,
Plestan Franck
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.4057
Subject(s) - sliding mode control , control theory (sociology) , piecewise , mode (computer interface) , control (management) , convergence (economics) , constant (computer programming) , order (exchange) , computer science , variable structure control , mathematics , nonlinear system , artificial intelligence , physics , mathematical analysis , economics , programming language , economic growth , operating system , finance , quantum mechanics
Summary The perturbed system with input‐output dynamics of arbitrary and well‐defined relative degree is considered in a reduced information environment. A novel impulsive second‐order sliding mode control in the reduced information environment is proposed. The almost instantaneous convergence to the origin is achieved via impulsive control acting in a concert with second‐order sliding mode control, specifically supertwisting and twisting algorithms. The impulsive actions are implemented in a piecewise constant format. Numerical examples illustrate the efficiency of the proposed control algorithms.