Quantiser-based Hands-off control for robust (Formula Presented.) sector

Ankit Sachan; Sandeep Kumar Soni; Jitendra Kumar Goyal; Kranthi Kumar Deveerasetty; Xiaogong Xiong

doi:10.1080/00207179.2023.2190424

Quantiser-based Hands-off control for robust (Formula Presented.) sector

Ankit Sachan^*
, Sandeep Kumar Soni
, Jitendra Kumar Goyal
, Kranthi Kumar Deveerasetty
, Xiaogong Xiong

^*Corresponding author for this work

Hiroshima University
Université d'Orléans
Vellore Institute of Technology
Kochi University of Technology
Harbin Institute of Technology Shenzhen

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

4 Scopus citations

Abstract

This article discusses a quantiser-based stabilisation problem for uncertain nonlinear systems with the aid of robust (Formula presented.) sector. We confirmed that the quantised-feedback control steers the state trajectories of the uncertain nonlinear systems within the robust (Formula presented.) sector in finite time by adjusting the quantisation parameters. Furthermore, control-Lyapunov functions are helpful to obtain sufficient conditions for ensuring the closed-loop system's asymptotic stability and the reachability of the robust (Formula presented.) sector. Finally, a nonlinear electronic circuit is provided to test the effectiveness of the designed control law.

Original language	English
Pages (from-to)	1014-1026
Number of pages	13
Journal	International Journal of Control
Volume	97
Issue number	5
DOIs	https://doi.org/10.1080/00207179.2023.2190424
State	Published - 2024
Externally published	Yes

Keywords

Robust [K,KL] sector
control-Lyapunov function
hands-off control
mean-value theorem
signal quantisation

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10.1080/00207179.2023.2190424

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title = "Quantiser-based Hands-off control for robust (Formula Presented.) sector",

abstract = "This article discusses a quantiser-based stabilisation problem for uncertain nonlinear systems with the aid of robust (Formula presented.) sector. We confirmed that the quantised-feedback control steers the state trajectories of the uncertain nonlinear systems within the robust (Formula presented.) sector in finite time by adjusting the quantisation parameters. Furthermore, control-Lyapunov functions are helpful to obtain sufficient conditions for ensuring the closed-loop system's asymptotic stability and the reachability of the robust (Formula presented.) sector. Finally, a nonlinear electronic circuit is provided to test the effectiveness of the designed control law.",

keywords = "Robust [K,KL] sector, control-Lyapunov function, hands-off control, mean-value theorem, signal quantisation",

author = "Ankit Sachan and \{Kumar Soni\}, Sandeep and \{Kumar Goyal\}, Jitendra and \{Kumar Deveerasetty\}, Kranthi and Xiaogong Xiong",

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year = "2024",

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AU - Sachan, Ankit

AU - Kumar Soni, Sandeep

AU - Kumar Goyal, Jitendra

AU - Kumar Deveerasetty, Kranthi

AU - Xiong, Xiaogong

PY - 2024

Y1 - 2024

N2 - This article discusses a quantiser-based stabilisation problem for uncertain nonlinear systems with the aid of robust (Formula presented.) sector. We confirmed that the quantised-feedback control steers the state trajectories of the uncertain nonlinear systems within the robust (Formula presented.) sector in finite time by adjusting the quantisation parameters. Furthermore, control-Lyapunov functions are helpful to obtain sufficient conditions for ensuring the closed-loop system's asymptotic stability and the reachability of the robust (Formula presented.) sector. Finally, a nonlinear electronic circuit is provided to test the effectiveness of the designed control law.

AB - This article discusses a quantiser-based stabilisation problem for uncertain nonlinear systems with the aid of robust (Formula presented.) sector. We confirmed that the quantised-feedback control steers the state trajectories of the uncertain nonlinear systems within the robust (Formula presented.) sector in finite time by adjusting the quantisation parameters. Furthermore, control-Lyapunov functions are helpful to obtain sufficient conditions for ensuring the closed-loop system's asymptotic stability and the reachability of the robust (Formula presented.) sector. Finally, a nonlinear electronic circuit is provided to test the effectiveness of the designed control law.

KW - Robust [K,KL] sector

KW - control-Lyapunov function

KW - hands-off control

KW - mean-value theorem

KW - signal quantisation

UR - https://www.scopus.com/pages/publications/85152416385

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DO - 10.1080/00207179.2023.2190424

M3 - 文章

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SN - 0020-7179

VL - 97

SP - 1014

EP - 1026

JO - International Journal of Control

JF - International Journal of Control

IS - 5

ER -

Quantiser-based Hands-off control for robust (Formula Presented.) sector

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Keywords

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