Nonlinear system identification of discrete systems using GLO-MAP

Monika Marwaha, John Valasek, Puneet Singla

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

A Global-Local Mapping Approximation method is presented in this paper for identifying discrete systems using input-output data. The method is based on the idea that any nonlinear system can be represented as a sum of a discrete linear model and unmodeled nonlinearities. Linear system is then perturbed by a nonlinear term which represents the system nonlinearities that are not captured by the linear model. To identify the discrete systems, discrete learning laws are derived using Lyapunov stability analysis. Numerical examples show the successful application of this technique for identification of nonlinear discrete models using data obtained from the simulations.

Original languageEnglish (US)
Title of host publicationAIAA Guidance, Navigation, and Control Conference and Exhibit
StatePublished - Dec 1 2009
EventAIAA Guidance, Navigation, and Control Conference and Exhibit - Chicago, IL, United States
Duration: Aug 10 2009Aug 13 2009

Other

OtherAIAA Guidance, Navigation, and Control Conference and Exhibit
CountryUnited States
CityChicago, IL
Period8/10/098/13/09

Fingerprint

Nonlinear systems
Identification (control systems)
Linear systems

All Science Journal Classification (ASJC) codes

  • Aerospace Engineering
  • Control and Systems Engineering
  • Electrical and Electronic Engineering

Cite this

Marwaha, M., Valasek, J., & Singla, P. (2009). Nonlinear system identification of discrete systems using GLO-MAP. In AIAA Guidance, Navigation, and Control Conference and Exhibit [2009-5881]
Marwaha, Monika ; Valasek, John ; Singla, Puneet. / Nonlinear system identification of discrete systems using GLO-MAP. AIAA Guidance, Navigation, and Control Conference and Exhibit. 2009.
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Marwaha, M, Valasek, J & Singla, P 2009, Nonlinear system identification of discrete systems using GLO-MAP. in AIAA Guidance, Navigation, and Control Conference and Exhibit., 2009-5881, AIAA Guidance, Navigation, and Control Conference and Exhibit, Chicago, IL, United States, 8/10/09.

Nonlinear system identification of discrete systems using GLO-MAP. / Marwaha, Monika; Valasek, John; Singla, Puneet.

AIAA Guidance, Navigation, and Control Conference and Exhibit. 2009. 2009-5881.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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N2 - A Global-Local Mapping Approximation method is presented in this paper for identifying discrete systems using input-output data. The method is based on the idea that any nonlinear system can be represented as a sum of a discrete linear model and unmodeled nonlinearities. Linear system is then perturbed by a nonlinear term which represents the system nonlinearities that are not captured by the linear model. To identify the discrete systems, discrete learning laws are derived using Lyapunov stability analysis. Numerical examples show the successful application of this technique for identification of nonlinear discrete models using data obtained from the simulations.

AB - A Global-Local Mapping Approximation method is presented in this paper for identifying discrete systems using input-output data. The method is based on the idea that any nonlinear system can be represented as a sum of a discrete linear model and unmodeled nonlinearities. Linear system is then perturbed by a nonlinear term which represents the system nonlinearities that are not captured by the linear model. To identify the discrete systems, discrete learning laws are derived using Lyapunov stability analysis. Numerical examples show the successful application of this technique for identification of nonlinear discrete models using data obtained from the simulations.

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Marwaha M, Valasek J, Singla P. Nonlinear system identification of discrete systems using GLO-MAP. In AIAA Guidance, Navigation, and Control Conference and Exhibit. 2009. 2009-5881