Conference Paper

Pole Placement by Linear Quadratic Modification for Continuous Time Systems

Conference: American Control Conference, 1991
Source: IEEE Xplore


This paper bridges the gap between linear quadratic solution and pole placement providing a simple criterion sucht that the resulting optimal gain places the closed loop eigenvalues at desired locations. The method has the capability of shifting both the real and imaginary parts of the open loop poles to any desired positions in the s-plane.

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    ABSTRACT: A recursive method for selecting the state weighting matrix of a linear quadratic regulator problem in order to shift the open loop eigenvalues to a desired location is presented. This method is capable of shifting a complex pair to new complex or real locations. A minimization problem with linear and nonlinear constraints must be solved in order to find the desired state weighting matrix