Optimal LQG Control Across Packet-Dropping Links

-- Vijay Gupta, Babak Hassibi and Richard M. Murray,  System and Control Letters, Accepted June 2006, In Press.


We examine two special cases of the problem of optimal Linear Quadratic Gaussian control of a system whose state is being measured by sensors that communicate with the controller over packet-dropping links. We extend the LQG separation principle using a standard LQR state-feedback design, along with an optimal algorithm for propagating and using the information across the unreliable link. Our design is optimal for any arbitrary packet drop pattern. Further, the solution is appealing from a practical point of view because it can be implemented as a small modification of an existing LQG control design.

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