TY - JOUR Y1 - 2014/// JF - International Journal of Control IS - 3 PB - Taylor & Francis A1 - Rubagotti, Matteo A1 - Poggi, Tomaso A1 - Oliveri, Albert A1 - Pascucci, Carlo A. A1 - Bemporad, Alberto A1 - Storace, Marco SP - 622 VL - 87 KW - Piecewise-affine functions KW - Nonlinear observers KW - Digital circuits AV - none TI - Low-complexity piecewise-affine virtual sensors: theory and design UR - http://www.tandfonline.com/doi/abs/10.1080/00207179.2013.852250 SN - 0020-7179 N2 - 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. N1 - Published online: 04 Dec 2013 ID - eprints1835 EP - 632 ER -