Leth, John-Josef3; Rasmussen, Jakob Gulddahl5; Schiøler, Henrik1; Wisniewski, Rafal7
1 Automation & Control, The Technical Faculty of IT and Design, Aalborg University, VBN2 Department of Electronic Systems, The Technical Faculty of IT and Design, Aalborg University, VBN3 Aalborg U Robotics, The Faculty of Humanities, Aalborg University, VBN4 The Faculty of Engineering and Science (TECH), Aalborg University, VBN5 Department of Mathematical Sciences, The Faculty of Engineering and Science, Aalborg University, VBN6 CISS - Center for Embedded Software Systems, The Technical Faculty of IT and Design, Aalborg University, VBN7 Aalborg University Space Center, The Technical Faculty of IT and Design, Aalborg University, VBN
In this paper, we develop theoretical results based on a proposed method for modeling switching noise for a class of hybrid systems with piecewise linear partitioned state space, and state-depending switching. We devise a stochastic model of such systems, whose global dynamics is governed by a continuous-time stochastic process. The main result of this paper is that we may identify the realizations of the global dynamics with the solutions of a differential inclusion. Hence, an analysis of switched systems with switching noise can be carried out either based on a non-deterministic method via the differential inclusion, or on a stochastic method via the stochastic process. Furthermore, we describe how to construct intensity plots, which provide a quick overview of the behavior of the system. An example is included to illustrate this.
Ieee Conference on Decision and Control (cdc), 2012, p. 4737-4744
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I E E E Conference on Decision and Control. Proceedings
51st IEEE Conference on Decision and Control (CDC)IEEE Conference on Decision and Control, 2012