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Título del libro: Sliding Modes For Switched Uncertain Linear Time Invariant Systems: An Output Integral Sliding Mode Approach
Título del capítulo: Discontinuous integral control for systems with relative degree two

Autores UNAM:
JAIME ALBERTO MORENO PEREZ;
Autores externos:

Idioma:
Inglés
Año de publicación:
2017
Palabras clave:

Lyapunov functions; State feedback; Continuous control; Finite time stability; Homogeneous observers; Homogeneous state; Integral control; Lipschitz continuous; Reference signals; Relative degree two; Signal processing


Resumen:

For systems with relative degree two we propose a homogeneous controller capable of tracking a smooth but unknown reference signal, despite of a Lipschitz continuous perturbation, and by means of a continuous control signal. The proposed control scheme consists of two terms: (i) a continuous and homogeneous state feedback, and (ii) a discontinuous integral term. The state feedback term aims at stabilizing (in finite time) the closed loop while the (discontinuous) integral term estimates the perturbation and the unknown reference signal in finite time and provides for perfect compensation in closed loop. By adding a continuous and homogeneous observer we complete an output feedback scheme, when not all states are available for measurement. The global finite time stability of the closed loop and its insensitivity with respect to matched Lipschitz continuous perturbations is proved in detail using a smooth and homogeneous Lyapunov function. © Springer International Publishing AG 2018. All rights reserved.


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