A. Varga. Robust pole assignment via Sylvester equation based state feedback parametrization. In Proc. CACSD'2000. Home/Search Document Details and Download
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Robust Pole Assignment Techniques Via State Feedback - Varga (2000) (4 citations) (Correct)
....general goal for solving EAPs. In this paper we present a unifying framework for the numerically reliable solution of EAPs by exploiting the intrinsic non uniqueness of the problems. The non uniqueness issue is addressed by formulating the EAPs as minimum norm robust pole assignment problems [15, 16, 17]. By using Sylvester equations based parametrizations, those solutions of the EAPs are soughtwhich minimize special cost functions expressing the weighted requirements for minimum norm feedback matrix and minimum sensitivity of closed loop eigenvalues. The available explicit expressions for the ....
....problem, while for # =1we get a pure robust EAP.Intermediary values of # lead to a combination of both aspects. The Sylvester equation based parametrization allows to derive explicit analytic expressions of gradients of the performance criterion # with respect to the free parameter matrix # [15]. Proposition 1 Let # be the state feedback computed as in (6) assigning the desired eigenvalues for given # # and #. Then, the gradient of # with respect to # is given by ### = 1# #)# # # # # # # (13) where # = # ## # # ,and# satis es the Sylvester equation # ## ### # =0 (14) ....
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A. Varga. Robust pole assignment via Sylvester equation based state feedback parametrization. In Proc. CACSD'2000 Symposium, Anchorage, Alaska,2000.
Robust Pole Assignment Techniques via State Feedback - Varga (2000) (4 citations) Self-citation (Varga) (Correct)
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A. Varga. Robust pole assignment via Sylvester equation based state feedback parametrization. In Proc. CACSD'2000.
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