Novel Control Approaches Based on Projection Dynamics

Zao Fu; Carlo Cenedese; Michele Cucuzzella; Yu Kawano; Wenwu Yu; Jacquelien M.A. Scherpen

doi:10.1109/LCSYS.2023.3285663

Novel Control Approaches Based on Projection Dynamics

Zao Fu
, Carlo Cenedese
, Michele Cucuzzella^*
, Yu Kawano
, Wenwu Yu
, Jacquelien M.A. Scherpen

^*Corresponding author for this work

Discrete Technology and Production Automation

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

5 Citations (Scopus)

130 Downloads (Pure)

Abstract

In this letter, our objective is to explore how two well-known projection dynamics can be used as dynamic controllers for stabilization of nonlinear systems. Combining the properties of projection operators, Lyapunov stability theory and LaSalle's theorem, we confirm that the projection dynamics on the feasible set and tangent cone are Krasovskii passive. To show the effectiveness of the proposed approach, we use the projection dynamics on the tangent cone for stabilizing boost converters in a DC microgrid while satisfying predefined input constraints.

Original language	English
Pages (from-to)	2179-2184
Number of pages	6
Journal	IEEE Control Systems Letters
Volume	7
DOIs	https://doi.org/10.1109/LCSYS.2023.3285663
Publication status	Published - 14-Jun-2023

Keywords

control applications
Lyapunov methods
Stability of nonlinear systems

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Novel Control Approaches Based on Projection DynamicsFinal publisher's version, 872 KBLicence: CC BY

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title = "Novel Control Approaches Based on Projection Dynamics",

abstract = "In this letter, our objective is to explore how two well-known projection dynamics can be used as dynamic controllers for stabilization of nonlinear systems. Combining the properties of projection operators, Lyapunov stability theory and LaSalle's theorem, we confirm that the projection dynamics on the feasible set and tangent cone are Krasovskii passive. To show the effectiveness of the proposed approach, we use the projection dynamics on the tangent cone for stabilizing boost converters in a DC microgrid while satisfying predefined input constraints.",

keywords = "control applications, Lyapunov methods, Stability of nonlinear systems",

author = "Zao Fu and Carlo Cenedese and Michele Cucuzzella and Yu Kawano and Wenwu Yu and Scherpen, \{Jacquelien M.A.\}",

note = "Publisher Copyright: {\textcopyright} 2017 IEEE.",

year = "2023",

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T1 - Novel Control Approaches Based on Projection Dynamics

AU - Fu, Zao

AU - Cenedese, Carlo

AU - Cucuzzella, Michele

AU - Kawano, Yu

AU - Yu, Wenwu

AU - Scherpen, Jacquelien M.A.

PY - 2023/6/14

Y1 - 2023/6/14

N2 - In this letter, our objective is to explore how two well-known projection dynamics can be used as dynamic controllers for stabilization of nonlinear systems. Combining the properties of projection operators, Lyapunov stability theory and LaSalle's theorem, we confirm that the projection dynamics on the feasible set and tangent cone are Krasovskii passive. To show the effectiveness of the proposed approach, we use the projection dynamics on the tangent cone for stabilizing boost converters in a DC microgrid while satisfying predefined input constraints.

AB - In this letter, our objective is to explore how two well-known projection dynamics can be used as dynamic controllers for stabilization of nonlinear systems. Combining the properties of projection operators, Lyapunov stability theory and LaSalle's theorem, we confirm that the projection dynamics on the feasible set and tangent cone are Krasovskii passive. To show the effectiveness of the proposed approach, we use the projection dynamics on the tangent cone for stabilizing boost converters in a DC microgrid while satisfying predefined input constraints.

KW - control applications

KW - Lyapunov methods

KW - Stability of nonlinear systems

UR - https://www.scopus.com/pages/publications/85162617548

U2 - 10.1109/LCSYS.2023.3285663

DO - 10.1109/LCSYS.2023.3285663

M3 - Article

AN - SCOPUS:85162617548

SN - 2475-1456

VL - 7

SP - 2179

EP - 2184

JO - IEEE Control Systems Letters

JF - IEEE Control Systems Letters

ER -

Novel Control Approaches Based on Projection Dynamics

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