The PWM control of second system coupled with ordinary different equation

This paper investigates the stability of a second-order ODE coupled with a heat PDE system under PWM control inputs. First, the duty cycle scheme of the PWM controller is designed according to the overall state of the system to realize the stability of the coupled system. Secondly, we prove the stab...

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Published in2024 43rd Chinese Control Conference (CCC) pp. 1058 - 1062
Main Authors Xu, Zhenhui, Zong, Xiju, Zhao, Faqin
Format Conference Proceeding
LanguageEnglish
Published Technical Committee on Control Theory, Chinese Association of Automation 28.07.2024
Subjects
Backstepping
Control systems
Heating systems
Lyapunov function
Numerical stability
Ordinary differential equations
Pulse width modulation
PWM
Second-order ODE-PDE
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Abstract This paper investigates the stability of a second-order ODE coupled with a heat PDE system under PWM control inputs. First, the duty cycle scheme of the PWM controller is designed according to the overall state of the system to realize the stability of the coupled system. Secondly, we prove the stability of the coupled system of second-order ordinary differential equations and classical heat equations by using the Lyapunov generalization technique as well as the backstepping method. Finally, we give a numerical example of a second-order ODE-PDE coupled system to illustrate the validity of our theoretical results.
AbstractList This paper investigates the stability of a second-order ODE coupled with a heat PDE system under PWM control inputs. First, the duty cycle scheme of the PWM controller is designed according to the overall state of the system to realize the stability of the coupled system. Secondly, we prove the stability of the coupled system of second-order ordinary differential equations and classical heat equations by using the Lyapunov generalization technique as well as the backstepping method. Finally, we give a numerical example of a second-order ODE-PDE coupled system to illustrate the validity of our theoretical results.
Author Xu, Zhenhui
Zhao, Faqin
Zong, Xiju
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  organization: University of Jinan,School of Electrical Engineering,Jinan,Shandong,P. R. China,250022
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Snippet This paper investigates the stability of a second-order ODE coupled with a heat PDE system under PWM control inputs. First, the duty cycle scheme of the PWM...
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StartPage 1058
SubjectTerms Backstepping
Control systems
Heating systems
Lyapunov function
Numerical stability
Ordinary differential equations
Pulse width modulation
PWM
Second-order ODE-PDE
Title The PWM control of second system coupled with ordinary different equation
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