Title: Trajectory piece-wise quasi-linear approximation of large non-linear dynamic systems

Authors: Shahkar Ahmad Nahvi; Mashuq-un-Nabi; S. Janardhanan

Addresses: Department of Electrical Engineering, Indian Institute of Technology, New Delhi, 110016, India ' Department of Electrical Engineering, Indian Institute of Technology, New Delhi, 110016, India ' Department of Electrical Engineering, Indian Institute of Technology, New Delhi, 110016, India

Abstract: In this work we extend the trajectory piece-wise linear (TPWL) approximation of large, non-linear and input-affine dynamical systems to non-linear systems with non-linear input operators. The new technique is called the trajectory piece-wise quasi-linear (TPWQ) approximation. We explain the motivation for this technique in light of previously reported under-performance of the TPWL method and show that its a more general alternative, developing it is formulation and demonstrating its effectiveness in the process.

Keywords: large dynamic systems; model order reduction; MOR; nonlinear systems; simulation; modelling; trajectory piece-wise linear; TPWL approximation; trajectory piece-wise quasi-linear; TPWQ approximation.

DOI: 10.1504/IJMIC.2013.055655

International Journal of Modelling, Identification and Control, 2013 Vol.19 No.4, pp.369 - 377

Available online: 30 Jul 2013 *

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