NDLI: Synthesis of optimal switched systems

Content Provider	Springer Nature Link
Author	Bortakovskii, A. S.
Copyright Year	2015
Abstract	A dynamical system simulating the operation of a switching device (switch) is considered. When functioning, the system changes its state a finite number of times. The change in the state (switching) is described by a recurrent activation when the switch is represented as a dynamic automaton with memory and instantaneous multiple switchings. The times at which switchings occur and their number are not prescribed. These values are determined from the optimization of a functional that calculates the number and cost of switchings. We have proved the sufficient conditions of the optimality of these systems and developed a method for synthesizing optimum switches. This method builds a family of auxiliary functions (conditional cost functions and conditional positional controls) that serve to form a cost function (a Hamilton—Jacobi—Bellman function) and an optimal scheme of the switch. The application of this method is illustrated by some examples.
Starting Page	715
Ending Page	737
Page Count	23
File Format	PDF
ISSN	10642307
Journal	Journal of Computer and Systems Sciences International
Volume Number	54
Issue Number	5
e-ISSN	15556530
Language	English
Publisher	Pleiades Publishing
Publisher Date	2015-10-12
Publisher Place	Moscow
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Control, Robotics, Mechatronics
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Theoretical Computer Science Computer Networks and Communications Control and Systems Engineering Information Systems Computer Vision and Pattern Recognition Software

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