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Arbitrary pole placement by state feedback with minimum gain

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Authors
Schmid, R.
Ntogramatzidis, Lorenzo
Nguyen, T.
Pandey, A.
Date
2013
Type
Conference Paper

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Schmid, Robert and Ntogramatzidis, Lorenzo and Nguyen, Thang and Pandey, Amit. 2013. Arbitrary pole placement by state feedback with minimum gain, in Proceedings of The 21st Mediterranean Conference on Control and Automation (MED), Jun 25-28 2013, pp. 1434-1438. Crete, Greece: IEEE.
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2013 21st Mediterranean Conference on Control and Automation, MED 2013 - Conference Proceedings
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2013 21st Mediterranean Conference on Control and Automation, MED 2013
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Abstract

We consider the classic problem of pole placement by state feedback. We offer an eigenstructure assignment algorithm to obtain a novel parametric form for the pole-placing gain matrix that can deliver any set of desired closed-loop eigenvalues, with any desired multiplicities. This parametric formula is then exploited to introduce an unconstrained nonlinear optimisation algorithm to obtain a gain matrix that delivers the desired pole placement with minimum gain.