Title :
Duality of controllability-observability in continuous Petri nets
Author :
Vazquez, C.R. ; Garcia-Malacara, J.L. ; Ramirez-Trevino, A.
Author_Institution :
CUValles, Univ. de Guadalajara, Ameca, Mexico
Abstract :
This work is concerned with duality of controllability and observability of Timed continuous Petri nets (TCPNs). Based on the duality definition presented in [4] for (discrete) Petri nets, a procedure for computing a dual system of a given TCPN, in a particular configuration, is provided in this work. Furthermore, it is demonstrated that the rank of the controllability matrix of a TCPN and the rank of the observability matrix of its dual are related in a precise manner. The analysis here presented can be used to translate previous results of observability analysis to controllability and vice versa.
Keywords :
Petri nets; controllability; duality (mathematics); matrix algebra; observability; TCPN; controllability matrix; controllability-observability duality; dual system; observability analysis; observability matrix; timed continuous Petri nets; Controllability; Equations; Observability; Optimized production technology; Petri nets; Semantics; Vectors;
Conference_Titel :
Emerging Technology and Factory Automation (ETFA), 2014 IEEE
Conference_Location :
Barcelona
DOI :
10.1109/ETFA.2014.7005220
