Partial pole placement with minimum norm controller

10 years 2 months ago
Partial pole placement with minimum norm controller
— The problem of placing an arbitrary subset (m) of the (n) closed loop eigenvalues of a nth order continuous time single input linear time invariant(LTI) system, using full state feedback, is considered. The required locations of the remaining (n − m) closed loop eigenvalues are not precisely specified. However, they are required to be placed anywhere inside a pre-defined region in the complex plane. The resulting non-uniqueness is utilized to minimize the controller effort through optimization of the feedback gain vector norm. Using a variant of the boundary crossing theorem, the region constraint on the unspecified (n−m) poles is translated into a quadratic constraint on the characteristic polynomial coefficients. The resulting quadratically constrained quadratic program can be approximated by a quadratic program with linear constraints. The proposed theory is demonstrated for power oscillation damping controller design, where the eigenvalues corresponding to poorly damped...
Subashish Datta, Balarko Chaudhuri, Debraj Chakrab
Added 23 Aug 2011
Updated 23 Aug 2011
Type Journal
Year 2010
Where CDC
Authors Subashish Datta, Balarko Chaudhuri, Debraj Chakraborty
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