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A Method to Find Non-Zero Operating Point Volterra Models for Port-Based Ordinary Differential Equations

[+] Author Affiliations
Eliot Motato, Jose Luis Viveros

Universidad Javeriana, Cali, Colombia

Clark Radcliffe

Michigan State University, East Lansing, MI

Paper No. DSCC2010-4237, pp. 431-436; 6 pages
doi:10.1115/DSCC2010-4237
From:
  • ASME 2010 Dynamic Systems and Control Conference
  • ASME 2010 Dynamic Systems and Control Conference, Volume 2
  • Cambridge, Massachusetts, USA, September 12–15, 2010
  • Conference Sponsors: Dynamic Systems and Control Division
  • ISBN: 978-0-7918-4418-2 | eISBN: 978-0-7918-3884-6
  • Copyright © 2010 by ASME

abstract

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.

Copyright © 2010 by ASME

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