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Low-complexity piecewise-affine virtual sensors: theory and design

Rubagotti, Matteo and Poggi, Tomaso and Oliveri, Albert and Pascucci, Carlo A. and Bemporad, Alberto and Storace, Marco Low-complexity piecewise-affine virtual sensors: theory and design. International Journal of Control , 87 (3). pp. 622-632. ISSN 0020-7179 (2014)

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This paper is focused on the theoretical development and the hardware implementation of low-complexity piecewise-affine direct virtual sensors for the estimation of unmeasured variables of interest of nonlinear systems. The direct virtual sensor is designed directly from measured inputs and outputs of the system and does not require a dynamical model. The proposed approach allows one to design estimators which mitigate the effect of the so-called ‘curse of dimensionality’ of simplicial piecewise-affine functions, and can be therefore applied to relatively high-order systems, enjoying convergence and optimality properties. An automatic toolchain is also presented to generate the VHDL code describing the digital circuit implementing the virtual sensor, starting from the set of measured input and output data. The proposed methodology is applied to generate an FPGA implementation of the virtual sensor for the estimation of vehicle lateral velocity, using a hardware-in-the-loop setting.

Item Type: Article
Identification Number: 10.1080/00207179.2013.852250
Additional Information: Published online: 04 Dec 2013
Uncontrolled Keywords: Piecewise-affine functions, Nonlinear observers, Digital circuits
Subjects: Q Science > QA Mathematics > QA75 Electronic computers. Computer science
Research Area: Computer Science and Applications
Depositing User: Ms T. Iannizzi
Date Deposited: 16 Oct 2013 14:28
Last Modified: 05 Mar 2014 13:29
URI: http://eprints.imtlucca.it/id/eprint/1835

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