15th Triennial World Congress of the International Federation of Automatic Control
  Barcelona, 21–26 July 2002 
ON SLIDING-MODE BASED CONTROL VIA CONE-SHAPED BOUNDARY LAYERS
Guido Herrmann1, Sarah K. Spurgeon, Christopher Edwards
Control & Instrumentation Research Group
Department of Engineering
University of Leicester, LE1 7RH, U.K.
e-mail: gh17@sun.engg.le.ac.uk, eon@le.ac.uk, ce14@le.ac.uk
Tel.: +44-116-252-2531, Fax.: +44-116-252-2619

This paper presents a non-linear multi-input control law using sliding mode concepts for continuous-time, uncertain systems. The control law introduces a cone-shaped layer around the sliding mode plane to remove chattering. This layer combines two types of boundary layers; a constant layer and a sector-shaped layer. The states will always enter the cone-shaped boundary layer and the choice of the sliding mode will be seen to determine the ultimate system performance. A numerical example is used to illustrate the results.
Keywords: sliding-mode control, boundary layer, robust control, Lyapunov analysis
Session slot T-Tu-M07: Sliding mode control/Area code 2c : Non-linear Systems