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Steady-state behaviour of discretized terminal sliding mode

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Title Steady-state behaviour of discretized terminal sliding mode
 
Creator BEHERA, AK
BANDYOPADHYAY, B
 
Subject VARIABLE-STRUCTURE SYSTEMS
NONLINEAR-SYSTEMS
Terminal sliding mode
Discretization
Steady-state behaviour
Periodic orbits
 
Description In this paper, the steady-state behaviour of discretized terminal sliding mode control is studied. A discrete terminal sliding mode control is designed by discretizing the continuous-time system and then the steady-state behaviour is analysed in terms of periodic orbits. We have shown that by this discrete terminal sliding mode control the discretized second order system exhibits only period-2 motion in steady-state. To ensure this, existence and stability conditions of all possible periodic orbits are found out analytically and shown that only period-2 conditions are satisfied by the state evolution of the discretized system in steady-state. Next, a higher order single-input-single-output system is considered and we also establish that only period-2 motion exists in steady-state. (C) 2015 Elsevier Ltd. All rights reserved.
 
Publisher PERGAMON-ELSEVIER SCIENCE LTD
 
Date 2016-01-14T13:03:20Z
2016-01-14T13:03:20Z
2015
 
Type Article
 
Identifier AUTOMATICA, 54,176-181
0005-1098
1873-2836
http://dx.doi.org/10.1016/j.automatica.2015.02.009
http://dspace.library.iitb.ac.in/jspui/handle/100/17566
 
Language en