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Approximation of Nonlinear Systems Based on Multiple Linear Modeling

Alem, Fakhreddin | 2014

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  1. Type of Document: M.Sc. Thesis
  2. Language: Farsi
  3. Document No: 46172 (05)
  4. University: Sharif University of Technology
  5. Department: Electrical Engineering
  6. Advisor(s): Haeri, Mohammad
  7. Abstract:
  8. Inthis thesis, we provide a reduced multiple linear approximationfornonlinear systems. This approximationis a weighted summation of reduced order models thatapproximates the states or output(s) of the nonlinear system. It can be used inreal-time control instead of high-ordernonlinear models in order toreduce thecomputational cost. The reduction of computation cost is claimed qualitatively, based on the linearity of the approximation and its less order compared to the original model. To form amultiple modelapproximation eachlinearmodelis obtained from linearization atanoperating point. Then,each model is reduced byalinearreduction method. We used truncation and balanced residualization methods in simulation. Details ofapproximationanddifferent versionsof multiple linearmodelingare determined based on the location and number of linearization and method of calculating the weights. Then,a method is introduced based on an optimization andleastmean squared error problem that updates the weights by using measured states or output(s).Thenoutput and state measurement methodsarecomparedand the advantagesandapplicabilities of each one are explainedbased on the simulation results
  9. Keywords:
  10. Nonlinear System ; Multiple Modeling ; Order Reduction ; States and Output Measurement ; Multiple Linear Reduced Approximation

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