Sampled-data control of hybrid systems with discrete inputs and outputs

M. Petreczky, P. Collins, D.A. Beek, van, J.H. Schuppen, van, J.E. Rooda

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

2 Citations (Scopus)


We address the control synthesis of hybrid systems with discrete inputs, disturbances andoutputs. The control objective is to ensure that the events of the closed-loop system belong to thelanguage of the control requirements. The controller is sampling-based and it is representable by a finitestatemachine.We formalize the control problem and provide a theoretically sound solution. The solutionis based on solving a discrete-event control problem for a finite-state abstraction of the plant.We proposea specific construction for the finite-state abstraction. This construction is not based on discretizing the state-space, but rather on converting the continuous-time hybrid system to a discrete-time one based on sampling. The construction works only for a specific class of hybrid systems. We describe this class of systems and we provide an example of such a system, inspired by an industrial use-case.
Original languageEnglish
Title of host publicationProceedings of the 3rd IFAC Conference on Analysis and Design of Hybrid Systems (ADHS09), 16-18 September 2009, Zaragoza, Spain
Place of PublicationSpain, Zaragoza
Publication statusPublished - 2009


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