The modular model assembly method (MMAM) is an energy based model distribution and assembly algorithm that distributes and assembles model information through computer networks. Using the MMAM linear and affine physical system, models can be distributed and assembled using dynamic matrices. Though the MMAM procedure can be used for a large class of systems, linear model dynamic matrices cannot be used to represent nonlinear behavior. This work is an extension of the MMAM to assemble nonlinear physical models described through Volterra expansions. Volterra expansions are models representations of smooth nonlinearities. Using the approach proposed here, complex assemblies of nonlinear physical models can be executed recursively while hiding the topology and characteristics of their structural model subassemblies.

References

References
1.
Radcliffe
,
C. J.
,
Motato
,
E.
, and
Reichenbach
,
F.
, 2009, “
Networked Assembly of Mechatronic Linear Physical System Models
,”
ASME J. Dyn. Syst., Meas., Control
,
131
(
2
), p.
021003
.
2.
Motato
,
E.
, and
Radcliffe
, 2009, “
Networked Assembly of Affine Physical System Models Physical Models
,”
ASME J. Dyn. Syst., Meas., Control
,
132
(
6
).
3.
Rugh
,
W.
, 1981,
Nonlinear System Theory
The Johns Hopkins University Press
.
4.
Schetzen
,
M.
, 1980,
The Volterra and Wiener Theories of Nonlinear Systems
John Wiley & Sons
,
New York
.
5.
Motato
,
E.
, and
Radcliffe
,
C.
, 2007, “
A Procedure for Obtaining MIMO Volterra Models From Port-Based Nonlinear Differential Equations
,”
Presented at the 2007 American Control Conference
,
New York
.
6.
Gawthrop
,
P. J.
, and
Bevan
,
G. P.
, 2007, “
Bond-Graph Modeling
,”
IEEE Control Syst. Mag.
,
27
(
2
), pp.
24
45
.
7.
Elmqvist
,
H.
, 1999, “
Modelica: A Language for Physical System Modeling, Visualization and Interaction
,”
CACSD’99 IEEE Symposium on Computer Control System Design
, Hawaii, Aug.
22
27
.
8.
Gu
,
B.
, and
Asada
,
H.
, 2004, “
Co-Simulation of Algebraically Coupled Dynamic Systems Without Disclosure of Proprietary Subsystem Models
,”
ASME J. Dyn. Syst., Meas.
, and Control,
126
(
1
), pp.
1
13
.
9.
Nagel
,
L. W.
, 1975, “
SPICE2: A Computer Program to Simulate Semiconductor Circuits
,” Ph.D. thesis, Electronics Research Laboratory, College of Engineering, University of California, Berkeley, CA.
10.
Willems
J. C.
, 2007, “
The behavioral Approach to Open and Interconnected Systems
,”
IEEE Control Syst. Mag.
,
27
(
6
), pp.
46
99
.
11.
Zienkiewicz
,
O.
, 1989,
The Finite Element Method
McGraw-Hill
,
London
.
12.
Wu
Z.
,
Camphel
M.
, and
Fernandez
,
B.
, 2008, “
Bond Graph Based Automated Modeling for Computer-Aided Design Dynamic Systems
,”
J. Mech.
,
130
(
4
),
041102
.
13.
Karnopp
,
D. C.
,
Margolis
,
D.
, and
Rosenberg
,
R.
, 2000,
System Dynamics: Modeling and Simulation of Mechatronic Systems
John Wiley & Sons
,
New York
.
14.
Byam
,
B.
, and
Radcliffe
,
C.
, 2000, “
Direct-Insertion Realization of Linear Modular Models of Engineering Systems Using Fixed Input-Output Structure
,” ASME Proc. of DET2000: 26th Design Automation. Conf., Baltimore, MD, Sept.
10
13
.
15.
Horn
,
R. A.
, and
Johnson
,
C. R.
, 1985,
Matrix Analysis
Cambridge University, Cambridge
,
England
.
You do not currently have access to this content.