Strong Structural Non-Minimum Phase Systems

Daasch, Andreas; Svaricek, Ferdinand; Schultalbers, Matthias

doi:10.1016/j.ifacol.2016.07.489

Cited by 1 publication

(1 citation statement)

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“…An interesting and pedagogical example of the applicability of strong structural systems can be found in [21]. As an alternative to the state space representation, the strong structural systems theory has also been proposed to study systems properties in the frequency domain [22]. Whereas the problem of verifying strong structural controllability can be addressed in linear-time complexity [23], the problem of selecting the minimum number of actuators out of a possible set of configurations was shown to be in general NP-hard [24], [25].…”

Section: Introductionmentioning

confidence: 99%

Selective strong structural minimum-cost resilient co-design for regular descriptor linear systems

et al. 2019

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This paper addresses the problem of minimum cost resilient actuation-sensing-communication co-design for regular descriptor systems while ensuring selective strong structural system's properties. More specifically, the problem consists of determining the minimum cost deployment of actuation and sensing technology, as well as communication between the these, such that decentralized control approaches are viable for an arbitrary realization of regular descriptor systems satisfying a pre-specified selective structure, i.e., some entries can be zero, nonzero, or either zero/nonzero. Towards this goal, we rely on strong structural systems theory and extend it to cope with the selective structure that casts resiliency/robustness properties and uncertainty properties of system's model. Upon such framework, we introduce the notion of selective strong structural fixed modes as a characterization of the feasibility of decentralized control laws. Also, we provide necessary and sufficient conditions for this property to hold, and show how these conditions can be leveraged to determine the minimum cost resilient placement of actuation-sensing-communication technology ensuring feasible solutions. In particular, we study the minimum cost resilient actuation and sensing placement, upon which we construct the solution to our problem. Finally, we illustrate the applicability the main results of this paper on an electric power grid example.

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