Abstract
In this paper, a LQ optimal control problem in considered under several security constraints. The security constraints depend on the information gathered by an adversary making partial noisy measurements of the state. Control sequences are designed to drive the system to a specified terminal state while minimizing a quadratic cost and satisfying bounds on the information available to the adversary. The resulting optimization problems are shown to be convex. Duality techniques are incorporated to compute the optimal solutions. For a terminal state with a continuous distribution, the optimal solution is shown to be affine.
This work has been funded by ONR AppEl center at UMD (Task E12), NSF CPS grant CNS 0931878, AFOSR FA95501110182, and ARL.
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Malik, W.A., Martins, N.C., Swami, A. (2013). LQ Control under Security Constraints. In: Tarraf, D. (eds) Control of Cyber-Physical Systems. Lecture Notes in Control and Information Sciences, vol 449. Springer, Heidelberg. https://doi.org/10.1007/978-3-319-01159-2_6
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DOI: https://doi.org/10.1007/978-3-319-01159-2_6
Publisher Name: Springer, Heidelberg
Print ISBN: 978-3-319-01158-5
Online ISBN: 978-3-319-01159-2
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