Arbitrary pole placement with the extended Kautsky-Nichols-van Dooren parametric form with minimum gain
We consider the classic problem of pole placement by state feedback. We revisit the well-known eigenstructure assignment algorithm of Kautsky, Nichols and van Dooren [1] and extend it to obtain a novel parametric form for the pole-placing feedback matrix that can deliver any set of desired closed-lo...
| Main Authors: | , , |
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| Other Authors: | |
| Format: | Conference Paper |
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Institute of Electrical and Electronics Engineers Inc.
2014
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| Subjects: | |
| Online Access: | http://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=6858688 http://hdl.handle.net/20.500.11937/25262 |
| Summary: | We consider the classic problem of pole placement by state feedback. We revisit the well-known eigenstructure assignment algorithm of Kautsky, Nichols and van Dooren [1] and extend it to obtain a novel parametric form for the pole-placing feedback matrix that can deliver any set of desired closed-loop eigenvalues, with any desired multiplicities. This parametric formula is then employed to introduce an unconstrained nonlinear optimisation algorithm to obtain a feedback matrix that delivers the desired pole placement with minimum gain. |
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