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Journal Articles Asian Journal of Control Year : 2021

Robust tracking design for uncertain MIMO systems using proportional–integral controller of order v

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Abstract

This paper provides a systematic method to design robust tracking controllers of reference signals with bounded derivatives of order ν for uncertain multi-input multi-output (MIMO) systems with bounded parametric uncertainties, in particular, of rational multi-affine type, and/or in presence of disturbances with bounded derivatives of order ν. The proposed controllers have state-feedback structures combined with proportional–integral regulators of order ν (PIν). Theoretical tools and systematic methodologies are provided to effectively design robust controllers for the considered systems, also in case of additional bounded nonlinearities and/or not directly measurable states. Applicability and efficiency of the proposed methods are validated through three examples: the first one is theoretical and useful to validate the proposed methodology, the second case study presents a metal-cutting problem for an industrial robot, and the third example deals with a composite robot, such as a milling machine.

Dates and versions

hal-03540965 , version 1 (24-01-2022)

Identifiers

Cite

Laura Celentano, Michael Basin, Mohammed Chadli. Robust tracking design for uncertain MIMO systems using proportional–integral controller of order v. Asian Journal of Control, 2021, 23 (5), pp.2042--2063. ⟨10.1002/asjc.2405⟩. ⟨hal-03540965⟩
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