Weakly and strongly non-minimum phase systems: properties and limitations. Issue 2 (1st February 2016)

• Record Type: Journal Article
• Authors: Foghahaayee, Hoda N.; Menhaj, Mohammad B.; Talebi, Heidar A.
• Is Part Of: International journal of control. Volume 89:Issue 2(2016)
• Page Start: 306
• Page End: 321
• Publication Date: 2016-02-01
• Subjects: weakly and strongly non-minimum phase systems -- nonlinear systems -- performance limitations -- converging-input stabilisability -- converging-output stabilisability; Automatic control -- Periodicals; Electronic journals; 629.8
• DOI: 10.1080/00207179.2015.1075255
• Languages: English
• ISSNs: 0020-7179

Abstract

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.