Nonlinear physical systems frequently perform around constant non-zero input-output operating conditions. This local behavior can be modeled using port-based nonlinear ordinary differential equations (ODEs). An ODE local solution around an specific input-output operating point can be obtained through the Volterra transfer function (VTF) model. In a past work a procedure for obtaining MIMO Volterra models from port-based nonlinear ODEs was presented. This previous work considered only systems operating at zero input-output conditions subject to linear inputs. In this work the process for obtaining MIMO Volterra transfer functions is extended for systems operating at non-zero input-output conditions. This extension also allows systems that are nonlinear functions of their inputs and input derivatives.
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ASME 2010 Dynamic Systems and Control Conference
September 12–15, 2010
Cambridge, Massachusetts, USA
Conference Sponsors:
- Dynamic Systems and Control Division
ISBN:
978-0-7918-4418-2
PROCEEDINGS PAPER
A Method to Find Non-Zero Operating Point Volterra Models for Port-Based Ordinary Differential Equations Available to Purchase
Eliot Motato,
Eliot Motato
Universidad Javeriana, Cali, Colombia
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Clark Radcliffe,
Clark Radcliffe
Michigan State University, East Lansing, MI
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Jose Luis Viveros
Jose Luis Viveros
Universidad Javeriana, Cali, Colombia
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Eliot Motato
Universidad Javeriana, Cali, Colombia
Clark Radcliffe
Michigan State University, East Lansing, MI
Jose Luis Viveros
Universidad Javeriana, Cali, Colombia
Paper No:
DSCC2010-4237, pp. 431-436; 6 pages
Published Online:
January 25, 2011
Citation
Motato, E, Radcliffe, C, & Viveros, JL. "A Method to Find Non-Zero Operating Point Volterra Models for Port-Based Ordinary Differential Equations." Proceedings of the ASME 2010 Dynamic Systems and Control Conference. ASME 2010 Dynamic Systems and Control Conference, Volume 2. Cambridge, Massachusetts, USA. September 12–15, 2010. pp. 431-436. ASME. https://doi.org/10.1115/DSCC2010-4237
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