Intelligent Control and Automation, Volume (2), No (2), Year (2011-3) , Pages (487-495)

Title : ( Embedding-Based Sliding Mode Control for Linear Time )

Authors: Mohammad Reza Zarrabi , Mohammad Hadi Farahi , Ali Jafar Koshkouei , Sohrab Effati , Keith Burnham ,

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Abstract In this paper, a novel strategy using embedding process and sliding surface is proposed. In this method, a state trajectory starting from a given initial point reaches a definite point on a sliding surface in the minimum time, and then tends to the origin along the sliding surface (SS). In the first, a SS is designed, then using an appropriate measure, an embedding is constructed to solve a time optimal control problem such that the system trajectory reaches the SS in minimum time, after that a control is designed such that the system trajectory tends to the origin along the SS. It is well-known that the main disadvantage of the use of sliding mode controls (SMCs) is a phenomenon, the so-called chattering. The proposed SMC here is piecewise continuous and chattering free. Some numerical examples is presented to illustrate the effectiveness and reliability of the proposed method.


, Keywords: Time Optimal Control Problem, Measure Theory, Sliding Mode Control, Sliding Surface Design, Equivalent Control
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author = {Zarrabi, Mohammad Reza and Farahi, Mohammad Hadi and Ali Jafar Koshkouei and Effati, Sohrab and Keith Burnham},
title = {Embedding-Based Sliding Mode Control for Linear Time},
journal = {Intelligent Control and Automation},
year = {2011},
volume = {2},
number = {2},
month = {March},
issn = {2153-0653},
pages = {487--495},
numpages = {8},
keywords = {Keywords: Time Optimal Control Problem; Measure Theory; Sliding Mode Control; Sliding Surface Design; Equivalent Control},


%0 Journal Article
%T Embedding-Based Sliding Mode Control for Linear Time
%A Zarrabi, Mohammad Reza
%A Farahi, Mohammad Hadi
%A Ali Jafar Koshkouei
%A Effati, Sohrab
%A Keith Burnham
%J Intelligent Control and Automation
%@ 2153-0653
%D 2011