Discrete Linear Functional Observer for the Thermal Estimation in Power Modules

Abstract

High integrated power electronic modules are designed with the emergence of new semiconductor technologies. The increase of reliability of power modules induces the precise knowledge of the local temperature, even if it can not be measured at any location. In this paper, the application of an observer in the discrete time framework is proposed. It allows to estimate the temperature at any location using measurements provided from thermal sensors located at a few precise points. The aim is to design a reduced size observer that could be implemented on a real-time embedded target such as Digital Signal Processor. Consequently, this works pays attention on the design procedure and the computation complexity of the resulting observer.

Subgraph Detection for Average Detectability of LTI Systems

“…Proposition 2 remains true if the system is associated with such a graph. This type of graphs includes for example some heat systems with high dissipation [14]. The model presented in section 4 falls also in this sclope.…”

“…As in the proof of Proposition 1, we denote byx av 2 := x av 2 −x av 2 the reconstruction error. From equations (6) and 7we have then:ẋ av 2 (t) = αx av 2 (t) + ησ(t) (14) where σ defined in (5) is the deviation from average,…”