NEW METHOD OF PARAMETRIC EIGENVALUE ASSIGNMENT IN STATE-FEEDBACK CONTROL

A new method is described for the assignment of eigenvalues of closed- loop plants in linear time-invariant multivariable systems. The parame terisation of controllers is based on the derivation of zero eigenvalu e assignment by implementation of vector companion forms. This method is computationally very attractive and can be used for optimisation of the feedback matrix which assigns the closed-loop eigenvalues (from t he set of real, complex conjugates or even those of the open-loop syst em) to the desired locations. A numerical example is presented to illu strate some advantages of this new explicit parameterisation of the co ntroller gain matrix.