Nonlinear Polytopic Systems With Predefined Time Convergence

Sunil Kumar; Sandeep Kumar Soni; Anil Kumar Pal; Shyam Kamal; Xiaogang Xiong

doi:10.1109/TCSII.2021.3125722

Nonlinear Polytopic Systems With Predefined Time Convergence

Sunil Kumar
, Sandeep Kumar Soni
, Anil Kumar Pal
, Shyam Kamal
, Xiaogang Xiong^*

^*Corresponding author for this work

Indian Institute of Technology Banaras Hindu University
Harbin Institute of Technology Shenzhen

Research output: Contribution to journal › Article › peer-review

25 Scopus citations

Abstract

This brief deals with predefined time control for nonlinear polytopic systems. With such a control, the settling time function is uniform with respect to initial conditions of the system and can be chosen by the designer. By using the control Lyapunov function, a sufficient condition is investigated for the existence of a continuous and predefined time stable state feedback controller. The obtained sufficient condition is also necessary, such that the closed-loop nonlinear polytopic system has a robust control Lyapunov function (RCLF) for all possible parametric uncertainties. Finally, a practical system shows the efficacy of the proposed approach.

Original language	English
Pages (from-to)	632-636
Number of pages	5
Journal	IEEE Transactions on Circuits and Systems II: Express Briefs
Volume	71
Issue number	2
DOIs	https://doi.org/10.1109/TCSII.2021.3125722
State	Published - 1 Feb 2024
Externally published	Yes

Keywords

Polytopic systems
control Lyapunov function
finite-time convergence
fixed-time convergence
predefined time convergence

Access to Document

10.1109/TCSII.2021.3125722

Cite this

@article{5fd9ba27e8a14767ab2ce085906c5927,

title = "Nonlinear Polytopic Systems With Predefined Time Convergence",

abstract = "This brief deals with predefined time control for nonlinear polytopic systems. With such a control, the settling time function is uniform with respect to initial conditions of the system and can be chosen by the designer. By using the control Lyapunov function, a sufficient condition is investigated for the existence of a continuous and predefined time stable state feedback controller. The obtained sufficient condition is also necessary, such that the closed-loop nonlinear polytopic system has a robust control Lyapunov function (RCLF) for all possible parametric uncertainties. Finally, a practical system shows the efficacy of the proposed approach.",

keywords = "Polytopic systems, control Lyapunov function, finite-time convergence, fixed-time convergence, predefined time convergence",

author = "Sunil Kumar and Soni, \{Sandeep Kumar\} and \{Kumar Pal\}, Anil and Shyam Kamal and Xiaogang Xiong",

note = "Publisher Copyright: {\textcopyright} 2004-2012 IEEE.",

year = "2024",

month = feb,

day = "1",

doi = "10.1109/TCSII.2021.3125722",

language = "英语",

volume = "71",

pages = "632--636",

journal = "IEEE Transactions on Circuits and Systems II: Express Briefs",

issn = "1549-7747",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

number = "2",

}

TY - JOUR

T1 - Nonlinear Polytopic Systems With Predefined Time Convergence

AU - Kumar, Sunil

AU - Soni, Sandeep Kumar

AU - Kumar Pal, Anil

AU - Kamal, Shyam

AU - Xiong, Xiaogang

PY - 2024/2/1

Y1 - 2024/2/1

N2 - This brief deals with predefined time control for nonlinear polytopic systems. With such a control, the settling time function is uniform with respect to initial conditions of the system and can be chosen by the designer. By using the control Lyapunov function, a sufficient condition is investigated for the existence of a continuous and predefined time stable state feedback controller. The obtained sufficient condition is also necessary, such that the closed-loop nonlinear polytopic system has a robust control Lyapunov function (RCLF) for all possible parametric uncertainties. Finally, a practical system shows the efficacy of the proposed approach.

AB - This brief deals with predefined time control for nonlinear polytopic systems. With such a control, the settling time function is uniform with respect to initial conditions of the system and can be chosen by the designer. By using the control Lyapunov function, a sufficient condition is investigated for the existence of a continuous and predefined time stable state feedback controller. The obtained sufficient condition is also necessary, such that the closed-loop nonlinear polytopic system has a robust control Lyapunov function (RCLF) for all possible parametric uncertainties. Finally, a practical system shows the efficacy of the proposed approach.

KW - Polytopic systems

KW - control Lyapunov function

KW - finite-time convergence

KW - fixed-time convergence

KW - predefined time convergence

UR - https://www.scopus.com/pages/publications/85185223661

U2 - 10.1109/TCSII.2021.3125722

DO - 10.1109/TCSII.2021.3125722

M3 - 文章

AN - SCOPUS:85185223661

SN - 1549-7747

VL - 71

SP - 632

EP - 636

JO - IEEE Transactions on Circuits and Systems II: Express Briefs

JF - IEEE Transactions on Circuits and Systems II: Express Briefs

IS - 2

ER -

Nonlinear Polytopic Systems With Predefined Time Convergence

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this