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Sliding-Mode Output-Feedback Control Based on LMIs for Plants With Mismatched Uncertainties

By J. M. Andrade-da Silva, Christopher Edwards and Sarah K. Spurgeon

Abstract

Metadata only entryIn this paper, a design framework for synthesizing sliding-mode output-feedback controllers for plants with matched and mismatched uncertainties is presented. Static-output-feedback (SOF) and compensator-based sliding-mode controllers are proposed. The switching-surface design problem is formulated in terms of linear matrix inequalities (LMIs) from a polytopic perspective, as an SOF problem with mismatched uncertainties. The control law consists of linear and nonlinear components. A convex subset of the complex left half-plane is defined by the designer in order to place the closed-loop eigenvalues when synthesizing numerically the linear component using LMIs through a polytopic formulation. The nonlinear part takes into account matched uncertainties or nonlinearities. Design studies demonstrate the efficacy of the proposed controllers

Topics: Control systems, Eigenvalues and eigenfunctions, Instruments, Linear matrix inequalities, Mathematical model, Output feedback, Robustness, Sliding mode control, State estimation, Uncertainty
Publisher: Institute of Electrical and Electronics Engineers (IEEE)
Year: 2009
DOI identifier: 10.1109/TIE.2009.2024094
OAI identifier: oai:lra.le.ac.uk:2381/9714
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