Super-twisting-like algorithm in discrete time nonlinear systems

I. Salgado; S. Kamal; I. Chairez; B. Bandyopadhyay; L. Fridman

Super-twisting-like algorithm in discrete time nonlinear systems

I. Salgado, S. Kamal, I. Chairez, B. Bandyopadhyay, L. Fridman

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

A new discrete time super-twisting-like second order sliding mode algorithm (DSTA) is proposed. The stability proof of the suggested scheme is analyzed in terms of the discrete Lyapunov approach and Linear Matrix Inequalities (LMI) theory. Using these two tools it is proved that, system state trajectory is ultimately bounded in finite time. The state estimation problem for a class of second order discrete time system has been proposed to show the positive settings obtained from the algorithm introduced here. Also, the ultimate boundedness of the estimation error is demonstrated despite the presence of bounded perturbations. Simulation results illustrates the efficacy of this new discrete-time algorithm.

Original language	English
Title of host publication	2011 International Conference on Advanced Mechatronic Systems, ICAMechS 2011 - Final Program
Pages	497-502
Number of pages	6
State	Published - 2011
Event	2011 International Conference on Advanced Mechatronic Systems, ICAMechS 2011 - Zhengzhou, China Duration: 11 Aug 2011 → 13 Aug 2011

Publication series

Name	2011 International Conference on Advanced Mechatronic Systems, ICAMechS 2011 - Final Program

Conference

Conference	2011 International Conference on Advanced Mechatronic Systems, ICAMechS 2011
Country/Territory	China
City	Zhengzhou
Period	11/08/11 → 13/08/11

Keywords

Discrete-time super-twisting algorithm
discrete sliding mode
quasi-sliding mode

Cite this

@inproceedings{de333e7d09644ed583f7b553cb1ccd69,

title = "Super-twisting-like algorithm in discrete time nonlinear systems",

abstract = "A new discrete time super-twisting-like second order sliding mode algorithm (DSTA) is proposed. The stability proof of the suggested scheme is analyzed in terms of the discrete Lyapunov approach and Linear Matrix Inequalities (LMI) theory. Using these two tools it is proved that, system state trajectory is ultimately bounded in finite time. The state estimation problem for a class of second order discrete time system has been proposed to show the positive settings obtained from the algorithm introduced here. Also, the ultimate boundedness of the estimation error is demonstrated despite the presence of bounded perturbations. Simulation results illustrates the efficacy of this new discrete-time algorithm.",

keywords = "Discrete-time super-twisting algorithm, discrete sliding mode, quasi-sliding mode",

author = "I. Salgado and S. Kamal and I. Chairez and B. Bandyopadhyay and L. Fridman",

year = "2011",

language = "Ingl{\'e}s",

isbn = "9780955529375",

series = "2011 International Conference on Advanced Mechatronic Systems, ICAMechS 2011 - Final Program",

pages = "497--502",

booktitle = "2011 International Conference on Advanced Mechatronic Systems, ICAMechS 2011 - Final Program",

note = "2011 International Conference on Advanced Mechatronic Systems, ICAMechS 2011 ; Conference date: 11-08-2011 Through 13-08-2011",

}

Salgado, I, Kamal, S, Chairez, I, Bandyopadhyay, B & Fridman, L 2011, Super-twisting-like algorithm in discrete time nonlinear systems. in 2011 International Conference on Advanced Mechatronic Systems, ICAMechS 2011 - Final Program., 6024944, 2011 International Conference on Advanced Mechatronic Systems, ICAMechS 2011 - Final Program, pp. 497-502, 2011 International Conference on Advanced Mechatronic Systems, ICAMechS 2011, Zhengzhou, China, 11/08/11.

Super-twisting-like algorithm in discrete time nonlinear systems. / Salgado, I.; Kamal, S.; Chairez, I. et al.
2011 International Conference on Advanced Mechatronic Systems, ICAMechS 2011 - Final Program. 2011. p. 497-502 6024944 (2011 International Conference on Advanced Mechatronic Systems, ICAMechS 2011 - Final Program).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

T1 - Super-twisting-like algorithm in discrete time nonlinear systems

AU - Salgado, I.

AU - Kamal, S.

AU - Chairez, I.

AU - Bandyopadhyay, B.

AU - Fridman, L.

PY - 2011

Y1 - 2011

N2 - A new discrete time super-twisting-like second order sliding mode algorithm (DSTA) is proposed. The stability proof of the suggested scheme is analyzed in terms of the discrete Lyapunov approach and Linear Matrix Inequalities (LMI) theory. Using these two tools it is proved that, system state trajectory is ultimately bounded in finite time. The state estimation problem for a class of second order discrete time system has been proposed to show the positive settings obtained from the algorithm introduced here. Also, the ultimate boundedness of the estimation error is demonstrated despite the presence of bounded perturbations. Simulation results illustrates the efficacy of this new discrete-time algorithm.

AB - A new discrete time super-twisting-like second order sliding mode algorithm (DSTA) is proposed. The stability proof of the suggested scheme is analyzed in terms of the discrete Lyapunov approach and Linear Matrix Inequalities (LMI) theory. Using these two tools it is proved that, system state trajectory is ultimately bounded in finite time. The state estimation problem for a class of second order discrete time system has been proposed to show the positive settings obtained from the algorithm introduced here. Also, the ultimate boundedness of the estimation error is demonstrated despite the presence of bounded perturbations. Simulation results illustrates the efficacy of this new discrete-time algorithm.

KW - Discrete-time super-twisting algorithm

KW - discrete sliding mode

KW - quasi-sliding mode

UR - http://www.scopus.com/inward/record.url?scp=80053580000&partnerID=8YFLogxK

M3 - Contribución a la conferencia

AN - SCOPUS:80053580000

SN - 9780955529375

T3 - 2011 International Conference on Advanced Mechatronic Systems, ICAMechS 2011 - Final Program

SP - 497

EP - 502

BT - 2011 International Conference on Advanced Mechatronic Systems, ICAMechS 2011 - Final Program

T2 - 2011 International Conference on Advanced Mechatronic Systems, ICAMechS 2011

Y2 - 11 August 2011 through 13 August 2011

ER -

Super-twisting-like algorithm in discrete time nonlinear systems

Abstract

Publication series

Conference

Keywords

Other files and links

Fingerprint

Cite this