✦ LIBER ✦

Dynamic sliding mode control design using attracting ellipsoid method

✍ Scribed by Jorge Davila; Alexander Poznyak

Publisher: Elsevier Science
Year: 2011
Tongue: English
Weight: 516 KB
Volume: 47
Category: Article
ISSN: 0005-1098
DOI: 10.1016/j.automatica.2011.02.023

No coin nor oath required. For personal study only.

✦ Synopsis

A methodology for the design of sliding mode controllers for linear systems subjected to matched and unmatched perturbations is proposed. It is considered that the control signal is applied through a firstorder low-pass filter. The technique is based on the existence of an attracting (invariant) ellipsoid such that the convergence to a quasi-minimal region of the origin using the suboptimal control signal is guaranteed. The design procedure is given in terms of the solution of a set of Matrix Inequalities. A benchmark example illustrating the design is given.

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