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Passivity of Interconnected Asynchronous Discrete-Time Systems

Jose Cueli 1 Carlos Canudas de Wit 1
1 NECS - Networked Controlled Systems
GIPSA-DA - Département Automatique, Inria Grenoble - Rhône-Alpes
Abstract : This paper presents a constructive algorithm to design local controllers for feedback systems that are interconnected via time-varying and asynchronous sampling. These systems result in many application fields such as remotely-operated systems, interconnected vehicle control loops, and more generally in component-based control design where synchronous exchange of information is not feasible. The design is based on the (MASP) MAximum Sampling time preserving Passivity, and uses discrete-time passivity considerations. The paper first explores several ways to compute the MASP for linear systems, and then proposes a numerical algorithm to compute local feedback loops providing a MASP compatible with the maximum sampling-time upperbound of each sub-system. This results in a exponentially stable interconnection. The paper also presents a simulation example of this design.
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Submitted on : Saturday, June 13, 2009 - 5:10:50 PM
Last modification on : Wednesday, May 13, 2020 - 4:16:01 PM
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  • HAL Id : hal-00394987, version 1


Jose Cueli, Carlos Canudas de Wit. Passivity of Interconnected Asynchronous Discrete-Time Systems. 17th IFAC World Congress (IFAC WC 2008), Jul 2008, Séoul, North Korea. pp.s/n. ⟨hal-00394987⟩



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