caa a22 4500 397558864 CHVBK 20180308164811.0 cr unu---uuuuu 161202e199603 xx s 000 0 eng 10.1093/imamci/13.1.63 doi (NATIONALLICENCE)oxford-10.1093/imamci/13.1.63 KULCZYCKI PIOTR Faculty of Electrical Engineering, Cracow University of Technology, Poland Almost certain time-optimal positional control [Elektronische Daten] [PIOTR KULCZYCKI] The present paper deals with a time-optimal control of positional objects whose dynamics are described by a differential inclusion with discontinuous right-hand side. The contents of this paper consist of a probabilistic concept of solving the above task. The existence and characteristics of an almost certain time-optimal control are shown. In compliance with the results obtained, the switching curve, well known from the (deterministic) classical case, has been ‘blurred' by a random factor introduced here to the switching region. The material presented constitutes a suitable basis for the creation of technical suboptimal control structures, which can be applied successfully in engineering practice. Empirical experiments confirm numerous advantages of the systems designed, especially in the area of robustness. © Oxford University Press Articles nationallicence IMA Journal of Mathematical Control and Information Oxford University Press 13/1(1996-03), 63-77 0265-0754 13:1<63 1996 13 imamci https://doi.org/10.1093/imamci/13.1.63 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1093/imamci/13.1.63 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- KULCZYCKI PIOTR Faculty of Electrical Engineering, Cracow University of Technology, Poland NATIONALLICENCE 773 0- IMA Journal of Mathematical Control and Information Oxford University Press 13/1(1996-03), 63-77 0265-0754 13:1<63 1996 13 imamci Metadata rights reserved CC BY-NC-4.0 http://creativecommons.org/licenses/by-nc/4.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-oxford