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This paper presents the results in the investigation of using reduced-order observers in satisfying step response requirements. The reduced-order observers are used to generate the unavailable states that are used in the method of pole placement for meeting the step response requirements. The step response requirements under consideration in this paper are percent overshoot, 2% settling time, and...
We study the extension of the class of linear time-invariant open-loop systems that may be transformed into SPR systems introducing a reduced-order observer. It is shown that for open-loop stable systems a cascaded observer achieves the result. For open-loop unstable systems observer-based feedback is required to succeed. In general, any stabilizable and observable system may be transformed into an...
The problem of rendering a transfer function strictly positive real using reduced-order observer is studied in this paper. It is shown that the problem always has a solution that is parameterized by a stabilizing feedback gain K and a positive definite matrix PK satisfying certain Lyapunov matrix equation. In addition, the resultant positive real transfer function is explicitly obtained and has the...
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