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Adaptative high-gain extended Kalman filter and applications

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tel-00559107, version 1 - 24 Jan 2011<br />

1. the innovation at time t places an upper bound on the error at time t − d,<br />

3.9 Conclusion<br />

2. the Riccati matrix S is bounded from above <strong>and</strong> below, for all times t, independently<br />

from θ,<br />

3. the set of c<strong>and</strong>idate adaptation functions is non empty.<br />

In the next chapter, the description of the observer is completed with an adaptation<br />

function <strong>and</strong> the analysis of an example. This study is done both in a simulation <strong>and</strong> in<br />

a real process. We also propose guidelines to the tuning of the several parameters of the<br />

observer.<br />

55

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