Abstract
This paper is concerned with a pole assignment problem for linear time-invariant systems with incomplete state observation. We considered the “certainty-equivalence” scheme based on a full-order observer. Multiple time-delays are intentionally applied to eliminate the error in the state reconstruction. The closed-loop system eventually has the form of Youla-parametrization, in which the state-feedback gain is selected so that the closedloop poles are assigned at designated points. The proposed method enables the state of the plant to behave as if it is controlled by state feedback. The closed-loop system makes an infinite dimensional system with a finite number of poles. A simple example is presented to illustrate our idea. Computer simulation on the example suggests robustness of the proposed scheme against a small perturbation in the plant parameters.
