Currently displaying 1 – 2 of 2

Showing per page

Order by Relevance | Title | Year of publication

Inverse optimal dynamic boundary control for uncertain Korteweg-de Vries-Burgers equation

Xiushan Cai;  Yuhang Lin;  Cong Lin;  Leipo Liu — 2024

Kybernetika

We investigate Korteweg-de Vries-Burgers (KdVB) equation, where the dissipation and dispersion coefficients are unknown, but their lower bounds are known. First, we establish dynamic boundary controls with update laws to globally exponentially stabilize this uncertain system. Secondly, we demonstrate that the dynamic boundary control design is suboptimal to a meaningful functional after some minor modifications of the dynamic boundary controls. In addition, we also consider dynamic boundary controls...

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

Xiushan Cai;  Yuhang Lin;  Junfeng Zhang;  Cong Lin — 2022

Kybernetika

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...

Page 1

Download Results (CSV)