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This paper presents an easily implementable method for determining the set of PID controllers that stabilize an LTI system with or without a time delay while satisfying certain robustness requirements. The adopted approach, which does not require approximating the time delay or solving complex non-algebraic equations, draws directly on the graphic approach(More)
Many popular model-reduction techniques do not ensure matching the steady-state response of the original system to canonical inputs (harmonic and singularity inputs). This paper shows that steady-state response retention can simply be achieved by decomposing the forced response into a transient and a steady-state component and by applying the reduction(More)
This paper is concerned with the construction of reduced–order models for high–order linear systems in such a way that the L 2 norm of the impulse–response error is minimized. Two convergent algorithms that draw on previous procedures presented by the same authors, are suggested: one refers to s–domain representations , the other to time–domain state–space(More)