Output transformations and separation results for feedback linearisable delay systems. Issue 4 (3rd April 2018)

• Record Type: Journal Article
• Authors: Cacace, F.; Conte, F.; Germani, A.
• Is Part Of: International journal of control. Volume 91:Issue 4(2018)
• Page Start: 797
• Page End: 812
• Publication Date: 2018-04-03
• Subjects: Delay systems -- separation problem -- output feedback; Automatic control -- Periodicals; Electronic journals; 629.8
• DOI: 10.1080/00207179.2017.1293848
• Languages: English
• ISSNs: 0020-7179

Abstract

ABSTRACT: The class of strict-feedback systems enjoys special properties that make it similar to linear systems. This paper proves that such a class is equivalent, under a change of coordinates, to the wider class of feedback linearisable systems with multiplicative input, when the multiplicative terms are functions of the measured variables only. We apply this result to the control problem of feedback linearisable nonlinear MIMO systems with input and/or output delays. In this way, we provide sufficient conditions under which a separation result holds for output feedback control and moreover a predictor-based controller exists. When these conditions are satisfied, we obtain that the existence of stabilising controllers for arbitrarily large delays in the input and/or the output can be proved for a wider class of systems than previously known.