Title: Input-state linearisation control for a class of SISO realisable nonlinear rational NARMAX models

Authors: Fernando Gómez-Salas; Yongji Wang; Quanmin Zhu

Addresses: School of Automation, Huazhong University of Science and Technology (HUST), Wuhan, 430074, China ' School of Automation, Huazhong University of Science and Technology (HUST), Wuhan, 430074, China ' The Bristol Institute of Technology, University of the West of England (UWE), Bristol, BS16 1QY, UK

Abstract: Based on the state equation of a SISO nonlinear rational NARMAX model, this study examines the input-state linearisation problem. Relying on the concept of accessibility, a sufficient condition is given in order to transform a realisable SISO nonlinear rational NARMAX model into a linear and controllable one. The results of this work are applied to some examples, showing that they can be applied not only to academic examples but also to physical systems. Additionally, an output regulation problem for this class of nonlinear rational systems is solved via the state-space pole-placement design.

Keywords: static feedback linearisation; nonlinear control; feedback control; pole-placement design; discrete-time systems; rational NARMAX models; linearisation control; SISO.

DOI: 10.1504/IJMIC.2015.070657

International Journal of Modelling, Identification and Control, 2015 Vol.23 No.4, pp.297 - 305

Available online: 15 Jul 2015 *

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