Abstract
This paper considers the pole placement in multivariable systems involving known delays by using dynamic controllers subject to multirate sampling. The controller parameterizations are calculated from algebraic equations which are solved by using the Kronecker product of matrices. It is pointed out that the sampling periods can be selected in a convenient way for the solvability of such equations under rather weak conditions provided that the continuous plant is spectrally controllable. Some overview about the use of nonuniform sampling is also given in order to improve the system's performance.
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de la Sen, M. An Algebraic Method for Pole Placement in Multivariable Systems. Analysis in Theory and Applications 17, 64–85 (2001). https://doi.org/10.1023/A:1015592615800
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DOI: https://doi.org/10.1023/A:1015592615800