Strömberg, J.-E., Top, J., and Söderman, U. (1992). Modelling Mode Switching in Dynamical Systems. Technical Report LiTH-IDA-R-92-38, Department of Computer and Information Science, Linköping University, Sweden. Accepted to ECC-93 - 2nd European Control Conference, Gröningen, Holland. (bibtex),
Abstract: Finding uniform formalisms to represent mode switching in models of dynamical systems is a goal that has long been strived for -- not the least within the automatic control community. Here we claim that the main reason for not reaching this goal is the tendency to confound modelling and computation. We will conjecture that the level of computation, i.e. the mathematical representation, is too low a level to yield any hope for a solution. Thus, we have chosen to search the solution at the physical level of representation; here by means of the bond graph formalism. By carefully defining a new ideal bond graph switching element, we have ensured a clear distinction between the physical and computational levels. With this minor addition to the original formalism, we maintain the abstraction level of bond graphs and hence keep all the conceptual properties of bond graphs, facilitating powerful guidelines to systematise the modelling process and tools to perform model validation already at the conceptual level.
CS Dept TR Overview