Predictor control for wave PDE/nonlinear ODE cascaded system with boundary value-dependent propagation speed

Title:

Predictor control for wave PDE/nonlinear ODE cascaded system with boundary value-dependent propagation speed

Creator:

Cai, Xiushan, Lin, Yuhang, Zhang, Junfeng, and Lin, Cong

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:ad20c895-a0aa-446c-853d-9c7fc696c7d5
uuid:ad20c895-a0aa-446c-853d-9c7fc696c7d5
doi:10.14736/kyb-2022-3-0400

Subject:

cascaded system, wave dynamics, boundary value-dependent, predictor control, and backstepping transformation

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

This paper investigates predictor control for wave partial differential equation (PDE) and nonlinear ordinary differential equation (ODE) cascaded system with boundary value-dependent propagation speed. A predictor control is designed first. A two-step backstepping transformation and a new time variable are employed to derive a target system whose stability is established using Lyapunov arguments. The equivalence between stability of the target and the original system is provided using the invertibility of the backstepping transformations. Stability of the closed-loop system is established by Lyapunov arguments.

Language:

English

Rights:

http://creativecommons.org/licenses/by-nc-sa/4.0/
policy:public

Coverage:

400-425

Source:

Kybernetika | 2022 Volume:58 | Number:3

Harvested from:

CDK

Metadata only:

false