Dense and Switched Modular Primitives for Bond Graph Model Design

Abstract

Abstract. This paper suggests dense and switched modular primitives for a bond-graph-based GP design framework that automatically synthesizes designs for multi-domain, lumped parameter dynamic systems. A set of primitives is sought that will avoid redundant junctions and elements, based on preassembling useful functional blocks of bond graph elements and (optionally) using a switched choice mechanism for inclusion of some elements. Motivation for using these primitives is to improve performance through greater search efficiency and thereby to reduce computational effort. As a proof of concept for this approach, an eigenvalue assignment problem, which is to find bond graph models exhibiting minimal distance errors from target sets of eigenvalues, was tested and showed improved performance for various sets of eigenvalues.

A Novel Evolutionary Algorithm for Designing Robust Analog Filters

“…In that approach, the GP functions for topological operation included {Insert_J0/J1, Add_C/I/R, and Replace_C/I/R}, which allowed evolution of a large variety of bond graph topologies. The shortcoming of this approach is that it tended to evolve redundant and sometimes causally ill-posed bond graphs [48]. Later, we used a causally well-posed modular GP function set to evolve more concise bond graphs with much less redundancy [45].…”

Automated synthesis of mechanical vibration absorbers using genetic programming

“…In that approach, the GP functions for topological operation included fInsert_J0/J1, Add_C/I/R, and Replace_C/I/Rg, which allowed evolution of a large variety of bond graph topologies; see Figures 7 and 8. The shortcoming of this approach is that it tended to evolve redundant and sometimes causally ill-posed bond graphs (Seo et al, 2003a). Later, we used a causally wellposed modular GP function set to evolve more concise bond graphs with much less redundancy (Hu et al, 2004).…”

“…Instead of using electrical circuits and block diagrams in our previous work, we developed a GP-based framework for automated synthesis of mechatronic systems using bond graphs as the modeling scheme. The so-called GPBG approach has been applied to automated synthesis of analog filters (Fan et al, 2001), redesign of an old-fashioned mechanical printer (Seo et al, 2002) and pump (Seo et al, 2003 b ), automated synthesis of MEMS systems (Fan et al, 2004), and synthesis of robust analog filter circuits (Hu et al, 2005). However, no attempt has been made to duplicate or compare with designs invented by experts.…”