Control Óptimo-L2 Basado en Red Mediante Funcionales de Lyapunov-Krasovskii

Pablo Millán, Luis Orihuela, Carlos Vivas, Francisco R. Rubio

Resumen

En el presente trabajo se estudia el control óptimo con rechazo de perturbaciones L2 para sistemas lineales controlados a través de red. En estos sistemas el lazo de control se cierra utilizando una red de comunicaciones. Entre los problemas que introduce la red se encuentran posibles retrasos, en general aleatorios, así como pérdidas de paquetes. Desde un enfoque basado en funcionales de Lyapunov- Krasovskii (LKF) se aborda el diseño de controladores óptimos que, dado un nivel deseado de atenuación de perturbaciones, estabilicen el sistema minimizando a su vez un funcional de coste. En el artículo se desarrolla, en primer lugar, una formulación y solución general para el problema. Posteriormente, se resuelve para un funcional de Lyapunov-Krasovskii particular. El comportamiento de los controladores obtenidos se compara con el dado por un control clásico LQR en un escenario de control de distancia en carretera.

Palabras clave

Redes de comunicación; Compensación de retrasos; Métodos de Lyapunov; Control óptimo; Retardo temporal

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