This paper gives a new parameterization of all stabilizing or pole-placement controllers in unitary feedback systems. A polynomial matrix fraction description of the system under consideration is taken as starting point, and the coefficients of certain polynomial matrices are given the role of parameters. To make sure that the resulting controller is proper, some constraints are imposed on the degrees of the elements of the polynomial matrices involved. These features make the proposed parameterizations very simple, easy to handle, and suited to multi-goal controller design. Based on such a parameterization, an algorithm is proposed to design the controller for robust asymptotic tracking and disturbance rejection. Finally, some numerical examples are presented.
Pole-assignment; stabilization; control Ier parameterization; feedback control; robust asymptotic tracking and disturbance rejection.
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