Title
Steady-state behaviour of discretized terminal sliding mode
Abstract
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.
Year
DOI
Venue
2015
10.1016/j.automatica.2015.02.009
Automatica
Keywords
Field
DocType
Terminal sliding mode,Discretization,Steady-state behaviour,Periodic orbits
Discretization,State evolution,Second-order logic,Control theory,Stability conditions,Steady state,Terminal sliding mode,Periodic orbits,Mathematics
Journal
Volume
Issue
ISSN
54
C
0005-1098
Citations 
PageRank 
References 
3
0.42
10
Authors
2
Name
Order
Citations
PageRank
Abhisek K. Behera1695.53
Bijnan Bandyopadhyay232848.14