eprintid: 1835 rev_number: 11 eprint_status: archive userid: 6 dir: disk0/00/00/18/35 datestamp: 2013-10-16 14:28:49 lastmod: 2014-03-05 13:29:47 status_changed: 2014-03-05 13:29:47 type: article metadata_visibility: show creators_name: Rubagotti, Matteo creators_name: Poggi, Tomaso creators_name: Oliveri, Albert creators_name: Pascucci, Carlo A. creators_name: Bemporad, Alberto creators_name: Storace, Marco creators_id: creators_id: creators_id: creators_id: creators_id: alberto.bemporad@imtlucca.it creators_id: title: Low-complexity piecewise-affine virtual sensors: theory and design ispublished: pub subjects: QA75 divisions: CSA full_text_status: none keywords: Piecewise-affine functions, Nonlinear observers, Digital circuits note: Published online: 04 Dec 2013 abstract: 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. date: 2014 date_type: published publication: International Journal of Control volume: 87 number: 3 publisher: Taylor & Francis pagerange: 622-632 id_number: 10.1080/00207179.2013.852250 refereed: TRUE issn: 0020-7179 official_url: http://www.tandfonline.com/doi/abs/10.1080/00207179.2013.852250 citation: 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)