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On Chattering-Free Dynamic Sliding Mode Controller Design
Author(s) -
JeangLin Chang
Publication year - 2012
Publication title -
journal of control science and engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.208
H-Index - 18
eISSN - 1687-5257
pISSN - 1687-5249
DOI - 10.1155/2012/564906
Subject(s) - differentiator , control theory (sociology) , sliding mode control , convergence (economics) , controller (irrigation) , stability theory , mode (computer interface) , mathematics , scheme (mathematics) , computer science , engineering , nonlinear system , control (management) , physics , mathematical analysis , bandwidth (computing) , computer network , quantum mechanics , artificial intelligence , agronomy , economics , biology , economic growth , operating system
For a class of linear MIMO uncertain systems, a dynamic sliding mode control algorithm that avoids the chattering problem is proposed in this paper. Without using any differentiator, we develop a modified asymptotically stable second-order sliding mode control law in which the proposed controller can guarantee the finite time convergence to the sliding mode and can show that the system states asymptotically approach to zero. Finally, a numerical example is explained for demonstrating the applicability of the proposed scheme

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