A major drawback on the use of sliding mode controllers is their inherent intense control activity. A usual strategy to cope with this problem is to use a boundary layer around the switching surface. The boundary layer thickness choice is based on a compromise between smoothness in the control action and tracking error. Since this compromise may be difficult to achieve, several boundary layer thickness variation laws (BLTVL) have been proposed in literature. In a recent study [1] an interesting BLTVL was proposed, based on the approach angle of the state to the switching surface. Although innovative, that study does not provide a proof of the stability of the controller. Furthermore, the BLTVL definition varies according to the system order and sliding surface definition. This paper extends the work done in [1] by presenting a new BLTVL based on a generalised definition of the approach angle that can be applied to systems of any order using any sliding surface. Furthermore, an innovative stability proof of a variable structure controller (VSC) using the new BLTVL is provided. Experimental results obtained in a servopneumatic system validate the usefulness of this approach.
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ASME 2011 Dynamic Systems and Control Conference and Bath/ASME Symposium on Fluid Power and Motion Control
October 31–November 2, 2011
Arlington, Virginia, USA
Conference Sponsors:
- Dynamic Systems and Control Division
ISBN:
978-0-7918-5475-4
PROCEEDINGS PAPER
VSC Approach Angle Based Boundary Layer Thickness: A New Variation Law and Its Stability Proof
J. Falca˜o Carneiro,
J. Falca˜o Carneiro
Universidade do Porto, Porto, Portugal
Search for other works by this author on:
F. Gomes de Almeida
F. Gomes de Almeida
Universidade do Porto, Porto, Portugal
Search for other works by this author on:
J. Falca˜o Carneiro
Universidade do Porto, Porto, Portugal
F. Gomes de Almeida
Universidade do Porto, Porto, Portugal
Paper No:
DSCC2011-5948, pp. 457-464; 8 pages
Published Online:
May 5, 2012
Citation
Carneiro, JF, & de Almeida, FG. "VSC Approach Angle Based Boundary Layer Thickness: A New Variation Law and Its Stability Proof." Proceedings of the ASME 2011 Dynamic Systems and Control Conference and Bath/ASME Symposium on Fluid Power and Motion Control. ASME 2011 Dynamic Systems and Control Conference and Bath/ASME Symposium on Fluid Power and Motion Control, Volume 1. Arlington, Virginia, USA. October 31–November 2, 2011. pp. 457-464. ASME. https://doi.org/10.1115/DSCC2011-5948
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