Title: Design of embedded differential equation solver

Authors: Ye Chow Kuang, Melanie Po-Leen Ooi, Wei Hong Loh, Serge Demidenko

Addresses: School of Engineering, Monash University, Sunway Campus, Jalan Lagoon Selatan, Petaling Jaya 46150, Selangor, Malaysia. ' School of Engineering, Monash University, Sunway Campus, Jalan Lagoon Selatan, Petaling Jaya 46150, Selangor, Malaysia. ' School of Engineering, Monash University, Sunway Campus, Jalan Lagoon Selatan, Petaling Jaya 46150, Selangor, Malaysia. ' School of Engineering, Monash University, Sunway Campus, Jalan Lagoon Selatan, Petaling Jaya 46150, Selangor, Malaysia

Abstract: The capability to solve ordinary differential equations (ODE) in hardware will increase the operation capacity of sensing systems in areas such as self-diagnostics, model-based measurement and self-calibration. The computational complexity of solving ODE must be reduced in order to implement a real-time embedded ODE solver. The research proposes a novel design that proves the possibility of solving ODE in real-time embedded systems with reasonably high degree of precision and efficiency. The application of three approximation methods namely, multi-layer perceptron, radial basis network and Lipschitz continuous interpolation is researched and compared.

Keywords: ordinary differential equations; ODE; function approximation; continuous interpolation; neural networks; state estimator; state observer; embedded systems; sensors; self-diagnostics; model-based measurement; self-calibration; multilayer perceptrons.

DOI: 10.1504/IJISTA.2009.025104

International Journal of Intelligent Systems Technologies and Applications, 2009 Vol.7 No.1, pp.24 - 39

Available online: 12 May 2009 *

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