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.
| Original language | English |
|---|---|
| Pages (from-to) | 622-632 |
| Number of pages | 11 |
| Journal | International Journal of Control |
| Volume | 87 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - Mar 4 2014 |
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Keywords
- digital circuits
- nonlinear observers
- piecewise-affine functions
ASJC Scopus subject areas
- Control and Systems Engineering
- Computer Science Applications
Cite this
Low-complexity piecewise-affine virtual sensors : Theory and design. / Rubagotti, Matteo; Poggi, Tomaso; Oliveri, Alberto; Pascucci, Carlo Alberto; Bemporad, Alberto; Storace, Marco.
In: International Journal of Control, Vol. 87, No. 3, 04.03.2014, p. 622-632.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Low-complexity piecewise-affine virtual sensors
T2 - Theory and design
AU - Rubagotti, Matteo
AU - Poggi, Tomaso
AU - Oliveri, Alberto
AU - Pascucci, Carlo Alberto
AU - Bemporad, Alberto
AU - Storace, Marco
PY - 2014/3/4
Y1 - 2014/3/4
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.
AB - 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.
KW - digital circuits
KW - nonlinear observers
KW - piecewise-affine functions
UR - http://www.scopus.com/inward/record.url?scp=84893944904&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84893944904&partnerID=8YFLogxK
U2 - 10.1080/00207179.2013.852250
DO - 10.1080/00207179.2013.852250
M3 - Article
VL - 87
SP - 622
EP - 632
JO - International Journal of Control
JF - International Journal of Control
SN - 0020-7179
IS - 3
ER -