Pole-placement designs via novel block canonical forms for multivariable control systems

Abstract

The controller and observer block-bidiagonal-Frobenius forms for a class of multivariable systems are presented. These can be employed in the state-feedback pole-placement and state-observer designs, with the advantage that they do not need to compute the characteristic matrix polynomial coeficients as required when using the block canonical forms. Moreover, the proposed method can be employed in the design problems for general multivariable systems by using appropriate artificial input and output. The gain matrices are given directly from the block-bidiagonal-Frobenius form without any computation.