Feedback Linearization in Systems with Nonsmooth Nonlinearities

Jiffri, S, Paoletti, P ORCID: 0000-0001-6131-0377 and Mottershead, JE ORCID: 0000-0003-1279-2562 (2016) Feedback Linearization in Systems with Nonsmooth Nonlinearities. JOURNAL OF GUIDANCE CONTROL AND DYNAMICS, 39 (04). pp. 814-825.

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Abstract

This paper aims to elucidate the application of feedback linearization in systems having nonsmooth nonlinearities. With the aid of analytical expressions originating from classical feedback linearization theory, it is demonstrated that for a subset of nonsmooth systems, ubiquitous in the structural dynamics and vibrations community, the theory holds soundly. Numerical simulations on a three-degree-of-freedom aeroservoelastic system are carried out to illustrate the application of feedback linearization for a specific control objective, in the presence of dead-zone and piecewise linear structural nonlinearities in the plant. An in-depth study of the arising zero dynamics, based on a combination of analytical formulations and numerical simulations, reveals that asymptotically stable equilibria exist, paving the way for the application of feedback linearization. The latter is demonstrated successfully through pole placement on the linearized system.

Item Type:	Article
Depositing User:	Symplectic Admin
Date Deposited:	25 May 2016 13:54
Last Modified:	19 Jan 2023 07:36
DOI:	10.2514/1.G001220
Related URLs:	Author Publisher
URI:	https://livrepository.liverpool.ac.uk/id/eprint/3001348