Using Bond Graphs to Synthesize Tree-structured Transfer Functions: Improved Frequency-Domain Analysis of Uncertain Systems
✍ Scribed by bruce h. wilson; bora eryilmaz
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 379 KB
- Volume
- 335
- Category
- Article
- ISSN
- 0016-0032
No coin nor oath required. For personal study only.
✦ Synopsis
Various robust control applications require the value set of an uncertain transfer function\ G"s\ q#\ which is the complex!plane reion "G"jv\ q#] q $ Q#\ where q is a vector of uncertain parameters[ Althouh a value set can be synthesized by riddinthe uncertain parameters\ this is only an option when a small number of the parameters are uncertain[ When the transfer function can be decomposed into a tree structure with disjoint sets of uncertain parameters\ the value set synthesis process is simpli_ed[ Bond raphs provide a means to synthesize tree!structured transfer functions\ but the disjoint parameter property has not been uaranteed except for collocated inputÐ output variables[ In this paper this property is extended to include a much broader class of systems\ and the paper provides a means to determine by inspection if a iven inputÐoutput variable pair will result in a transfer function with disjoint parameters[ Furthermore\ the tree structures enerated here provide certain vertex!type results that simplify value set synthesis[ The ability to know a priori that a iven inputÐoutput variable pair will lead to a tree!structured transfer function with disjoint parameters and the associated alorithms for synthesizinvalue sets expedite a normally problematic aspect of robust controller desin[ Þ 0887