Electrical and Electronic Engineering - Research Publications

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    On controller & capacity allocation co-design for networked control systems
    Tabbara, M ; Rantzer, A ; Nesic, D (ELSEVIER, 2009-09-01)
    This paper presents a framework for examining joint optimal channel-capacity allocation and controller design for networked control systems using store-and-forward networks in a discrete-time linear time-invariant setting. The resultant framework provides a synthesis procedure for designing distributed linear control laws for capacity-constrained networks taking the allocation of the capacity within the network into account.
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    Input-output stability of networked control systems with stochastic protocols and channels
    Tabbara, M ; Nesic, D (IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC, 2008-06-01)
    This paper introduces a new definition of stochastic protocols for networked control systems (NCS) and the stochastic analog of the notion of uniform persistency of excitation of protocols first presented in the Proceedings of the 44th IEEE Conference on Decision and Control. Our framework applies directly to common wireless and wireline NCS, including those built on carrier-sense multiple access (CSMA) style protocols, with Ethernet and 802.11a/b/g as prime examples of this class. We present conditions for a general class of nonlinear NCS with exogenous disturbances using stochastic protocols in the presence of packet dropouts, random packet transmission times and collisions that are sufficient for Lp stability from exogenous disturbance to NCS state with a linear finite expected gain. Within the same framework, we extend the results of Nešić and Teel (see IEEE Trans. Autom. Control, vol. 49, no. 10, pp. 1650-1667, Oct. 2004) to provide an analysis of deterministic protocols, including try-once-discard (TOD), in the presence of random packet dropouts and intertransmission times and provide a stochastic analog of the Lyapunov-theoretic stability properties for network protocols introduced therein.
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    Stability of wireless and wireline networked control systems
    Tabbara, M ; Nesic, D ; Teel, AR (IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC, 2007-09-01)
    This paper provides a general framework for analyzing the stability of general nonlinear networked control systems (NCS) with disturbances in the setting of cal Lp stability. Our presentation provides sharper results for both Lp gain and maximum allowable transfer interval (MATI) than previously obtainable and details the property of uniformly persistently exciting scheduling protocols. This class of protocols was shown to lead to cal Lp stability for high enough transmission rates and were a natural property to demand, especially in the design of wireless scheduling protocols. The property is used directly in a novel proof technique based on the notions of vector comparison and (quasi)-monotone systems. We explore these results through analytical comparisons to those in the literature, as well as through simulations and numerical comparisons that verify that the uniform persistence of excitation property of protocols is, in some sense, the "finest"property that can be extracted from wireless scheduling protocols.
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