This paper addresses the problem of minimum cost resilientactuation-sensing-communication co-design for regular descriptor systems whileensuring selective strong structural system's properties. More specifically,the problem consists of determining the minimum cost deployment of actuationand sensing technology, as well as communication between the these, such thatdecentralized control approaches are viable for an arbitrary realization ofregular descriptor systems satisfying a pre-specified selective structure,i.e., some entries can be zero, nonzero, or either zero/nonzero. Towards thisgoal, we rely on strong structural systems theory and extend it to cope withthe selective structure that casts resiliency/robustness properties anduncertainty properties of system's model. Upon such framework, we introduce thenotion of selective strong structural fixed modes as a characterization of thefeasibility of decentralized control laws. Also, we provide necessary andsufficient conditions for this property to hold, and show how these conditionscan be leveraged to determine the minimum cost resilient placement ofactuation-sensing-communication technology ensuring feasible solutions. Inparticular, we study the minimum cost resilient actuation and sensingplacement, upon which we construct the solution to our problem. Finally, weillustrate the applicability the main results of this paper on an electricpower grid example.
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