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• W99319959 abstract "We study the stabilizability of uncertain stochastic systems in the presence of finite capacity feedback. Motivated by the structure of communication networks, we consider a stochastic digital link that sends words whose size is governed by a random process. Such link is used to transmit state measurements between the plant and the controller. We derive necessary and sufficient conditions for internal and external stabilizability of the feedback loop. In accordance with previous publications, stabilizability of unstable plants is possible if and only if the link’s average transmission rate is above a positive critical value. In our formulation the plant and the link can be stochastic. In addition, stability in the presence of uncertainty in the plant is analyzed using a small-gain argument. We show that the critical average transmission rate, for stabilizability, depends on the description of uncertainty and the statistical properties of the plant as well as the link. I. INTRODUCTION With a wide range of formulations, control in the presence of communication constraints has been the focus of intense research. The need to remotely control one or more systems from a central location, has stimulated the study of stabilizability of unstable plants when the information flow in the feedback loop is finite. Such limitation results from the use of an analog communication channel or a digital link as a way to transmit information about the state of the plant. It can also be viewed as an abstraction of computational constraints created by several systems sharing a common decision center." @default.
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• W99319959 date "2004-01-01" @default.
• W99319959 modified "2023-09-25" @default.
• W99319959 title "Feedback Stabilization of Uncertain Systems Using a Stochastic Digital Link (TAC 04-001)" @default.
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