Output regulation of hybrid linear systems: solvability conditions and structural implications

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Abstract

Hybrid output regulation aims at ensuring that the output of a hybrid system under control converges to a desired reference, despite the influence of unknown initial conditions and unmeasured disturbances, assuming that both references and disturbances are described as the output of an exosystem with a known model and unknown initial state. The main objective of this paper is to show how structural methods, based on tools from the geometric approach to control theory, allow a deep understanding of a plethora of surprising and unprecedented phenomena arising in output regulation problems for linear hybrid systems in the presence of time-driven periodic jumps, which do not possess any counterpart in classical output regulation.

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Galeani, S., & Sassano, M. (2020). Output regulation of hybrid linear systems: solvability conditions and structural implications. In Lecture Notes in Control and Information Sciences (Vol. 482, pp. 115–151). Springer Verlag. https://doi.org/10.1007/978-3-030-18572-5_4

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