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We consider a control design problem aimed at balancing quadratic performance of linear systems with additional requirements on the control signal. These are introduced in order to obtain controls that are either sparse or infrequently changing in time. To achieve this objective, we augment a standard quadratic performance index with an additional term that penalizes either the ℓ1 norm or the total...
We propose a system theoretic approach to the identification and mitigation of vulnerabilities to cyber attacks, in networks of dynamical systems. Using the controllability and observability gramians, we define a network's vulnerability in terms of the impact of an attack input and the degree of difficulty with which this impact can be detected. In this framework, a network is deemed as vulnerable...
This paper discusses the simultaneous selection of measurements and economic backed off operating point when the nominal optimal operating point is constrained. However, operation at this point becomes infeasible due to uncertainties. In this regard, we recently proposed an optimization formulation that determines the backed-off point to ensure feasibility assuming accurate measurement of the states...
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