Weakly and strongly non-minimum phase systems: properties and limitations |
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Authors: | Hoda N. Foghahaayee Mohammad B. Menhaj Heidar A. Talebi |
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Affiliation: | 1. Department of Electrical Engineering, Amirkabir University of Technology, Tehran, Iran;2. Department of Electrical Engineering, Islamic?Azad?University, Science and Research Branch, Tehran, Irannokhbeh@aut.ac.ir |
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Abstract: | In this paper, a new classification of non-minimum phase systems based on stabilisability of the internal dynamics is introduced. According to this classification, the non-minimum phase systems are categorised as follows: (1) weakly non-minimum systems, for which a finite value of minimum norm of the regulation error can be obtained, and (2) strongly non-minimum phase systems for which this minimum norm of the regulation becomes infinite due to the presence of both transient and steady-state errors while for the weakly non-minimum phase systems there is no steady-state regulation error. It is worth mentioning that based on this new classification a level of non-minimum phase-ness can be further defined for any given desired trajectory. Furthermore, some numerical simulations are carried out to show consistency with theoretical analysis. |
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Keywords: | weakly and strongly non-minimum phase systems nonlinear systems performance limitations converging-input stabilisability converging-output stabilisability |
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