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EnglishThis work deals with zero cancellation in linear multivariable systems with possible feedthrough terms from the inputs to the outputs. A methodology for the synthesis of a minimal-order feedforward compensator preserving key properties of the original system while cancelling minimum-phase invariant zeros is derived by means of the basic tools of the geometric approach. The properties maintained in the feedforward compensation scheme are stabilizability and right-invertibility. Duality arguments show how to modify the devised method so as to achieve zero cancellation with a cascade filter retaining detectability and left-invertibility. Continuous and discrete-time systems are considered in a unified framework exploiting the common structural features. An original application of zero cancellation to signal rejection with preview is presented. A novel feedforward control scheme is devised, avoiding the steering along minimum-phase zero techniques that are at the basis of well-settled solutions.
| Titolo: | Geometric methods for invariant-zero cancellation in linear multivariable systems with application to signal rejection with preview |
| Autore/i: | ZATTONI, ELENA |
| Autore/i Unibo: | |
| Anno: | 2014 |
| Rivista: | |
| Digital Object Identifier (DOI): | http://dx.doi.org/10.1002/asjc.856 |
| Abstract: | This work deals with zero cancellation in linear multivariable systems with possible feedthrough terms from the inputs to the outputs. A methodology for the synthesis of a minimal-order feedforward compensator preserving key properties of the original system while cancelling minimum-phase invariant zeros is derived by means of the basic tools of the geometric approach. The properties maintained in the feedforward compensation scheme are stabilizability and right-invertibility. Duality arguments show how to modify the devised method so as to achieve zero cancellation with a cascade filter retaining detectability and left-invertibility. Continuous and discrete-time systems are considered in a unified framework exploiting the common structural features. An original application of zero cancellation to signal rejection with preview is presented. A novel feedforward control scheme is devised, avoiding the steering along minimum-phase zero techniques that are at the basis of well-settled solutions. |
| Data stato definitivo: | 2017-05-28T14:11:41Z |
| Appare nelle tipologie: | 1.01 Articolo in rivista |
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http://hdl.handle.net/11585/220290
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