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Título del libro: 2022 European Control Conference, Ecc 2022
Título del capítulo: Tracking for a Wave Equation Using Homogeneous Boundary Control

Autores UNAM:
DIEGO GUTIERREZ ORIBIO;
Autores externos:

Idioma:

Año de publicación:
2022
Palabras clave:

Closed loop systems; Boundary controls; Closed-loop system; Control inputs; Control strategies; Exponentials; Homogeneous algorithm; Input-to-state stability; Lyapunov approach; Reference signals; Tracking controls; Wave equations


Resumen:

In this paper, a wave equation with control input in one of its boundaries is considered. Using a Lyapunov approach, the control is designed as a homogeneous algorithm to drive the states to a vicinity of a reference signal, achieving exponential Input to State Stability of the closed-loop system. This homogeneity-based tracking control strategy is evaluated in a simplified earthquake model, allowing a controlled dissi-pation of its energy. In addition, simulations are conducted to support the robustness and the smoothness of the control signal depending on the homogeneous control parameter selection. © 2022 EUCA.


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