An algebraic method for pole placement in multivariable systems with internal and external point delays by using single rate or multirate sampling

Abstract

This paper considers the pole placement in multivariable systems involving known delays by using dynamic controllers subject to single rate and multirate sampling. The controller parametrizations and auxiliary compensating signals which are introduced to deal with the contribution of the delays are calculated from systems of algebraic equations which are solved by using the Kronecker product of matrices.