On stability in the presence of analog erasure channels

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On stability in the presence of analog erasure channels
— Consider a discrete-time networked control scheme, in which the controller has direct access to noisy measurements of the plant’s output, but the controller and the actuator are connected via a link that features Bernoulli erasure events. We determine necessary and sufficient conditions for the stabilizability of an unstable linear and time-invariant plant. We show that these conditions are identical for two types of actuators: • (Type I) Processing at the actuator has access to the plant’s model; • (Type II) Processing at the actuator uses a universal algorithm that does not depend on the model of the plant. We also identify cases where availability of acknowledgements over the controller-actuator channel is not required for stability. We also consider decentralized networked control structures, where two or more independent controller-linkactuator assemblies have access to different measurements of the plant’s output.
Vijay Gupta, Nuno C. Martins
Added 29 May 2010
Updated 29 May 2010
Type Conference
Year 2008
Where CDC
Authors Vijay Gupta, Nuno C. Martins
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