Bh. Wilson et B. Eryilmaz, USING BOND GRAPHS TO SYNTHESIZE TREE-STRUCTURED TRANSFER-FUNCTIONS - IMPROVED FREQUENCY-DOMAIN ANALYSIS OF UNCERTAIN SYSTEMS, Journal of the Franklin Institute, 335B(8), 1998, pp. 1443-1465
Citations number
23
Categorie Soggetti
Mathematics,"Engineering, Mechanical","Engineering, Eletrical & Electronic","Robotics & Automatic Control
Various robust control applications require the value set of an uncert
ain transfer function, G(s, q), which is the complex-plane legion {G(j
omega, q): q is an element of Q}, where q is a vector of uncertain pa
rameters. Although a value set can be synthesized by gridding the unce
rtain parameters, this is only an option when a small number of the pa
rameters are uncertain. When the transfer function can be decomposed i
nto a tree structure with disjoint sets of uncertain parameters, the v
alue set synthesis process is simplified. Bond graphs provide a means
to synthesize tree-structured transfer functions, but the disjoint par
ameter property has nor been guaranteed except for collocated input-ou
tput variables. In this paper this property is extended to include a m
uch broader class of systems, and the paper provides a means to determ
ine by inspection if a given input-output variable pair will result in
a transfer function with disjoint parameters. Furthermore, the tree s
tructures generated here provide certain vertex-type results that simp
lify value set synthesis. The ability to know a priori that a given in
put-output variable pail will lead to a tree-structured transfer funct
ion with disjoint parameters and the associated algorithms for synthes
izing value sets expedite a normally problematic aspect of robust cont
roller design. (C) 1998 Published by The Franklin Institute. Published
by Elsevier Science Ltd.