Discrete Sliding Mode Control of Fractional Linear systems

被引:0
作者
Kamal, S. [1 ]
Raman, Arun [1 ]
Bandyopadhyay, B. [1 ]
机构
[1] Indian Inst Technol, IDP Syst & Control Engg, Bombay 400076, Maharashtra, India
来源
2012 IEEE INTERNATIONAL SYMPOSIUM ON INDUSTRIAL ELECTRONICS (ISIE) | 2012年
关键词
Discrete fractional order systems; Discrete sliding mode control; Ultracapacitor; STABILITY;
D O I
暂无
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
In this paper, a methodology for stabilization of fractional discrete-time system based on discrete sliding mode approach is attempted for the first time. The proposed controller is robust in the presence of matched uncertainties. Stability during sliding is analyzed in terms of gamma function based radius using the property introduced by Hilfer [8]. Numerical example along with simulation is presented to illustrate the efficacy of the proposed method.
引用
收藏
页码:820 / 825
页数:6
相关论文
共 35 条
[1]  
Agrawal O. P., 2004, NONLINEAR DYNAM, V38, P323
[2]  
Ammour A. S., 2009, COMMUN NONLINEAR SCI, V14, P2308
[3]  
[Anonymous], 2006, THEORY APPL FRACTION
[4]  
[Anonymous], 2000, Applications of Fractional Calculus in Physics
[5]  
[Anonymous], 2005, P INT C COMP INT MOD
[6]  
[Anonymous], 2010, NEW TRENDS NANOTECHN
[7]  
[Anonymous], 1999, FRACTIONAL DIFFERENT
[8]   ADAPTIVE SLIDING MODE CONTROL IN DISCRETE-TIME-SYSTEMS [J].
BARTOLINI, G ;
FERRARA, A ;
UTKIN, VI .
AUTOMATICA, 1995, 31 (05) :769-773
[9]   Discrete-time quasi-sliding-mode control strategies [J].
Bartoszewicz, A .
IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS, 1998, 45 (04) :633-637
[10]   PIλDμ controller design for integer and fractional plants using piecewise orthogonal functions [J].
Bouafoura, Mohamed Karim ;
Braiek, Naceur Benhadj .
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2010, 15 (05) :1267-1278