TY - JOUR
T1 - High-speed piecewise affine virtual sensors
AU - Poggi, Tomaso
AU - Rubagotti, Matteo
AU - Bemporad, Alberto
AU - Storace, Marco
N1 - Funding Information:
Manuscript received December 21, 2010; revised April 12, 2011; accepted June 10, 2011. Date of publication June 30, 2011; date of current version October 18, 2011. This work was supported in part by the European Commission through Project MOBY-DIC “Model-based synthesis of digital electronic circuits for embedded control” under Grant FP7-INFSO-ICT-248858, http://www.mobydic-project.eu.
PY - 2012/2/1
Y1 - 2012/2/1
N2 - This paper proposes piecewise affine (PWA) virtual sensors for the estimation of unmeasured variables of nonlinear systems with unknown dynamics. The estimation functions are designed directly from measured inputs and outputs and have two important features. First, they enjoy convergence and optimality properties, based on classical results on parametric identification. Second, the PWA structure is based on a simplicial partition of the measurement space and allows one to implement very effectively the virtual sensor on a digital circuit. Due to the low cost of the required hardware for the implementation of such a particular structure and to the very high sampling frequencies that can be achieved, the approach is applicable to a wide range of industrial problems.
AB - This paper proposes piecewise affine (PWA) virtual sensors for the estimation of unmeasured variables of nonlinear systems with unknown dynamics. The estimation functions are designed directly from measured inputs and outputs and have two important features. First, they enjoy convergence and optimality properties, based on classical results on parametric identification. Second, the PWA structure is based on a simplicial partition of the measurement space and allows one to implement very effectively the virtual sensor on a digital circuit. Due to the low cost of the required hardware for the implementation of such a particular structure and to the very high sampling frequencies that can be achieved, the approach is applicable to a wide range of industrial problems.
KW - Digital circuits
KW - nonlinear observers
KW - piecewise affine (PWA) functions
KW - virtual sensors
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U2 - 10.1109/TIE.2011.2161064
DO - 10.1109/TIE.2011.2161064
M3 - Article
AN - SCOPUS:80054827169
VL - 59
SP - 1228
EP - 1237
JO - IEEE Transactions on Industrial Electronics
JF - IEEE Transactions on Industrial Electronics
SN - 0278-0046
IS - 2
M1 - 5936726
ER -