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N-sigma stability of stochastic systems with sliding mode control

DSpace at IIT Bombay

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Title N-sigma stability of stochastic systems with sliding mode control
 
Creator CHAKRABARTY, S
BANDYOPADHYAY, B
 
Subject VARIABLE-STRUCTURE CONTROL
TIME-VARYING DELAY
STATE
NOISE
 
Description In this paper, sliding mode control for discrete time systems with stochastic noise in their input channel has been discussed. The idea of process control using control charts has influenced this new approach towards dealing with systems with stochastic noise. The new approach approximates the stochastic noise as a bounded uncertainty, similar to having bounds in the control charts for stochastic process control data. For discrete time systems, this results in a bounded stability in probability of the quasi sliding mode, which is referred to as the N-sigma bounded stability. The probability associated with the stability notions is not fixed and the control engineer may desire lower or higher degrees of stability in terms of this probability. Thus one has design flexibility while implementing the theory in practice, where one might have to adjust the desired degree of stability due to hardware limitations. (C) 2013 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.
 
Publisher PERGAMON-ELSEVIER SCIENCE LTD
 
Date 2014-12-28T17:56:30Z
2014-12-28T17:56:30Z
2014
 
Type Article
 
Identifier JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 351(4)2232-2242
0016-0032
1879-2693
http://dx.doi.org/10.1016/j.jfranklin.2013.03.013
http://dspace.library.iitb.ac.in/jspui/handle/100/17045
 
Language English