In this thesis, a digitalization method with nite word-length (resolu- tion N ) of a given stable analog controller guaranteeing the minimum dierence in terms of frequency responses is treated. The challenge has consisted in nding a relevant frequency responses mismatch met- ric and in relating it to the word niteness issue. The analog con- troller is represented in modal state-space form and digitalized with a stability-maintaining approximation (ramp invariance) for dierent sampling periods. It results in digital controllers with block diago- nal transition matrices whose coecients (poles) are inside the unit circle. The format is chosen to match the poles dynamical range. The matrix is then coded and the mismatch measure allows for the selection of the "best" poles coded controllers. The remaining ma- trices are then scaled and coded for these selected controllers. The measure is computed for each of them. The procedure nally gives the "optimal" coded controller. This algorithm is shown to perform well and better that a simple rounding after the analog controller discretization phase. iii
| Identifer | oai:union.ndltd.org:UPSALLA1/oai:DiVA.org:kth-101797 |
| Date | January 2012 |
| Creators | Vinikoff, Nicolas |
| Publisher | KTH, Reglerteknik |
| Source Sets | DiVA Archive at Upsalla University |
| Language | English |
| Detected Language | English |
| Type | Student thesis, info:eu-repo/semantics/bachelorThesis, text |
| Format | application/pdf |
| Rights | info:eu-repo/semantics/openAccess |
| Relation | EES Examensarbete / Master Thesis ; XR-EE-RT 2012:022 |
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