Paper Info
Title
Sliding mode boundary control of a parabolic PDE system with parameter variations and boundary uncertainties
Abstract
This paper considers the stabilization problem of a one-dimensional unstable heat conduction system (rod) modeled by a parabolic partial differential equation (PDE), powered with a Dirichlet type actuator from one of the boundaries. By applying the Volterra integral transformation, a stabilizing boundary control law is obtained to achieve exponential stability in the ideal situation when there are no system uncertainties. The associated Lyapunov function is used for designing an infinite-dimensional sliding manifold, on which the system exhibits the same type of stability and robustness against certain types of parameter variations and boundary disturbances. It is observed that the relative degree of the chosen sliding function with respect to the boundary control input is zero. A continuous control law satisfying the reaching condition is obtained by passing a discontinuous (signum) signal through an integrator.
Year
DOI
Venue
2011
10.1016/j.automatica.2010.10.045
Automatica
Keywords
DocType
Volume
Sliding mode control,Distributed parameter systems,Boundary control,Chattering reduction,Lyapunov function
Journal
47
Issue
ISSN
Citations 
2
0005-1098
12
PageRank 
References 
Authors
0.77
0
3
Name
Order
Citations
PageRank
Meng-Bi Cheng1383.86
Verica Radisavljevic2292.28
Wu-Chung Su37514.43