Linear quadratic and pole placement iterative design

The linear quadratic regulator and pole placement techniques are considered for designing multivariable control systems. The proposed method combines the LQ approach with pole placement in a particular manner. The weighting matrices for the LQ optimization are constructed corresponding to a set of prescribed eigenvalues. The simultaneous knowledge of the weights and the associated poles of the closed loop system provides the designer with the opportunity of an interaction in both directions. Thereby eigenvalues located in undesired positions can be shifted to more suitable ones.