Title
Discrete variable-structure integral controllers
Abstract
The subject of this paper is the analysis and the design of a class of robust discrete-time variable-structure controllers of integral type. We refer to the discontinuous integral control (DIC) technique, already developed by the authors for the time-continuous case, where a nonlinear integral action is used for estimating the external disturbance and keeping small the discontinuous term in the control law and the subsequent chattering effect. A discretised version of the DIC algorithm, which is properly modified in order to take into account the time-derivative information on the controlled variable, is introduced and discussed. The so-obtained discrete-time controller shows to be very effective in reducing the chattering when the system parameters are known. Moreover, to cope with a specific case of unknown parameters, a new adaptive control structure is proposed and analysed. The local asymptotic stability of the resulting closed-loop system is proved in the case of constant external disturbances. Finally, simulation results on the velocity control of a DC motor end the paper. (C) 1998 Elsevier Science Ltd. All rights reserved.
Year
DOI
Venue
1998
10.1016/S0005-1098(97)00197-0
Automatica
Keywords
Field
DocType
discrete variable-structure integral controller,robust control
Control theory,Nonlinear system,Control theory,Exponential stability,Control variable,Adaptive control,Robust control,Variable structure control,Discrete system,Mathematics
Journal
Volume
Issue
ISSN
34
3
0005-1098
Citations 
PageRank 
References 
5
0.96
1
Authors
3
Name
Order
Citations
PageRank
C. Bonivento121827.54
M. Sandri250.96
R. Zanasi350.96