Stabilization of systems with probabilistic interval input delays and its applications to networked control systems

Motivated by the study of a class of networked control systems, this correspondence paper is concerned with the design problem of stabilization controllers for linear systems with stochastic input delays. Different from the common assumptions on time delays, it is assumed here that the probability distribution of the delay taking values in some intervals is known a priori. By making full use of the information concerning the probability distribution of the delays, criteria for the stochastic stability and stabilization controller design are derived. Traditionally, in the case that the variation range of the time delay is available, the maximum allowable bound of time delays can be calculated to ensure the stability of the time-delay system. It is shown, via numerical examples, that such a maximum allowable bound could be made larger in the case that the probability distribution of the time delay is known. © 2009 IEEE.published_or_final_versio

Optimal L2-gain networked control design with Lyapunov Krasovskii functionals

[EN] This paper deals with the problem of optimal control design for linear network control systems (NCS) with L2-gain disturbance rejection. Networked control systems close the control loop using a communication network, that usually accounts for network-induced delays and packet dropouts. Resorting to Lyapunov Krasovskii functionals (LKF), the problem of stabilization of NCS with joint performance index optimization and L2- gain disturbance rejection is addressed. The paper initially develops a general solution for the problem, then an specific LKF is particularized to provide a solution in terms of linear matrix inequalities. Performance of the proposed control structure is shown by simulations comparing with LQR control on an intervehicle distance regulation problem.[ES] 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.Los autores agradecen al proyecto CICYT (DPI2010-19154),y a la Comisión Europea (EC) (FeedNetBack Project, grant agreement 223866), por financiar este trabajo.Millán, P.; Orihuela, L.; Vivas, C.; Rubio, FR. 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