Analysis of Hierarchical Structuresfor Hybrid Control SystemsVon der Fakult¨at IV - Elektrotechnik und Informatikder Technischen Universit¨at Berlinzur Erlangung des akademischen GradesDoktor der Ingenieurwissenschaften(Dr.-Ing.)genehmigte Dissertationvorgelegt vonDipl.-Ing. Dmitry Gromovgeboren am 09.12.1974 in Minsk, BelarusPromotionsausschuss:Vorsitzender: Prof. Dr. O. BrockBerichter: Prof. Dr.-Ing. J. RaischBerichter: Prof. Dr.-Ing. T. MoorTag der wissenschaftlichen Aussprache: 27.08.2010Berlin, 2010D 83.to my parentsiAcknowledgmentsI would like to thank Professor J¨org Raisch for his help and his excellentsupervision. His enthusiasm and constant encouragement have been a trueinspiration. Thisprojecthasbeenagreatchallengeandawonderfullearningexperience.Many thanks go out to Professor Alessandro Giua, Professor ThomasMoor,StephanieGeist,DanieleCoronaandCarlaSeatzuforthemanyfruit-ful discussions that shaped this thesis.I would also like to thank all the former colleagues from the Max-PlanckInstitut Magdeburg, Otto-von-Guericke University of Magdeburg and Tech-nical University of Berlin for the great time I had with them, on manyoccasions, during the duration of my PhD.Finally, I want to thank my family and my wife Ekaterina for their loveand support during all these years.iiContents1 Introduction and Literature Survey 11.1 Hierarchical systems theory . . . . . . . . . . . . . . . . . . . 31.1.1 Multilevel hierarchical control . . . .