State feedback control of timed hybrid Petri nets

✍ Scribed by Atsushi Tanaka; Toshimitsu Ushio; Shinzo Kodama

• Publisher: John Wiley and Sons
• Year: 2003
• Tongue: English
• Weight: 652 KB
• Volume: 86
• Category: Article
• ISSN: 1042-0967
• DOI: 10.1002/ecjc.10011

✦ Synopsis

Abstract

A system in which discrete variables and continuous variables are mixed is called a hybrid system. Many models have been proposed for description of hybrid systems. A mode graphically describing the causality relationship between the variables is the hybrid Petri net (HPN). A mode in which the concept of time is introduced into the HPN is the timed HPN (THPN). In this paper, with regard to the THPN with an external input place (THPNIP), state feedback control is discussed in the case where the control specifications are given by a description on the attainable ensemble. In THPNIP, in general there is no guarantee that the maximum allowable feedback, which is the maximum element in the ensemble of the state feedback satisfying the control specification, will exist. Hence, the necessary and sufficient conditions are presented for the existence of the maximum allowable feedback. © 2003 Wiley Periodicals, Inc. Electron Comm Jpn Pt 3, 86(10): 1–7, 2003; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/ecjc.10011