Codesign for Resilience and Performance
Published in IEEE Transactions on Control of Network Systems, 2022
We present two optimization approaches to minimize the impact of sensor falsification attacks in linear time-invariant systems controlled by estimate-based feedback. We accomplish this by finding observer and controller gain matrices that minimize outer ellipsoidal bounds that contain the reachable set of attack-induced states. To avoid trivial solutions, we involve a covariance-based ∥H∥2 closed-loop performance constraint. This exposes a tradeoff between system security and closed-loop performance and demonstrates that only small concessions in performance can lead to large gains in our reachability-based security metric. We provide both a nonlinear optimization based on geometric sums and a fully convexified approach formulated with linear matrix inequalities. We demonstrate the effectiveness of these tools on two numerical case studies.
Recommended citation: Hashemi, Navid, and Justin Ruths. Co-design for resilience and performance. IEEE Transactions on Control of Network Systems (2022).
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