Stability robustness of feedback linearisable systems with input unmodelled dynamics

Tzamtzi, MP; Tzafestas, SG

dc.contributor.author	Tzamtzi, MP	en
dc.contributor.author	Tzafestas, SG	en
dc.date.accessioned	2014-03-01T01:15:13Z
dc.date.available	2014-03-01T01:15:13Z
dc.date.issued	1999	en
dc.identifier.issn	1350-2379	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/13384
dc.subject.classification	Automation & Control Systems	en
dc.subject.classification	Engineering, Electrical & Electronic	en
dc.subject.classification	Instruments & Instrumentation	en
dc.subject.other	Closed loop control systems	en
dc.subject.other	Feedback control	en
dc.subject.other	Linearization	en
dc.subject.other	Probability	en
dc.subject.other	Robustness (control systems)	en
dc.subject.other	System stability	en
dc.subject.other	Theorem proving	en
dc.subject.other	Uncertain systems	en
dc.subject.other	Feedback linearized systems	en
dc.subject.other	Input unmodelled dynamics	en
dc.subject.other	Input-to-output stability (IOS)	en
dc.subject.other	Input-to-state stability (ISS)	en
dc.subject.other	Nonlinear small gain theorem	en
dc.subject.other	Linear control systems	en
dc.title	Stability robustness of feedback linearisable systems with input unmodelled dynamics	en
heal.type	journalArticle	en
heal.identifier.primary	10.1049/ip-cta:19990375	en
heal.identifier.secondary	http://dx.doi.org/10.1049/ip-cta:19990375	en
heal.language	English	en
heal.publicationDate	1999	en
heal.abstract	The stability robustness of a feedback linearisable system subject to unstructured uncertainty is studied, with respect to the concepts of local input-to-state stability (ISS), local input-to-output stability (IOS) and smallsignal L2-stability. A nonlinear small-gain theorem for feedback interconnected systems that are characterised by both local ISS and IOS is established. This theorem is used to derive sufficient conditions for robust local ISS and IOS of the closed-loop system that is produced by the application of feedback linearising control to a nonlinear feedback linearisable system with unmodelled dynamics. Moreover, sufficient conditions for robust small-signal L2-stability are derived by employing both the aforementioned nonlinear small-gain theorem and the well known small-gain theorem for L2-stability. The conditions proposed are easily verifiable. A nontrivial illustrative example is included. © IEE, 1999.	en
heal.publisher	IEE-INST ELEC ENG	en
heal.journalName	IEE Proceedings: Control Theory and Applications	en
dc.identifier.doi	10.1049/ip-cta:19990375	en
dc.identifier.isi	ISI:000079914800011	en
dc.identifier.volume	146	en
dc.identifier.issue	1	en
dc.identifier.spage	77	en
dc.identifier.epage	83	en