Title
On the boundary control of distributed parameter systems by second-order sliding-mode technique. Recent advances and new results
Abstract
The primary concern of the present paper is to give an overview of the available results and methods in the field of second-order sliding mode based boundary control synthesis for uncertain and perturbed distributed parameter systems. We particularly aim at showing how the same basic algorithm (the combined Twisting/PD algorithm) can be applied to solve different problems involving parabolic and hyperbolic-type equations. Then, we deal with a reaction-diffusion process by also providing some novelty in that a destabilizing mixed-type boundary condition, which was not considered in the previous work [14], is taken into account. The effectiveness of the developed controller is supported by simulation results.
Year
DOI
Venue
2014
10.1109/VSS.2014.6881133
Variable Structure Systems
Keywords
Field
DocType
pd control,control system synthesis,distributed parameter systems,hyperbolic equations,parabolic equations,variable structure systems,boundary control synthesis,combined twisting-pd algorithm,hyperbolic-type equations,mixed-type boundary condition,parabolic-type equations,proportional-derivative algorithm,reaction-diffusion process,second-order sliding-mode technique,boundary control,reaction-diffusion equation,second-order sliding modes,wave equation
Boundary value problem,Control theory,Distributed parameter system,Mathematics
Conference
ISSN
Citations 
PageRank 
2158-3978
0
0.34
References 
Authors
6
4
Name
Order
Citations
PageRank
Baccoli, A.140.81
Yury Orlov2213.44
Alessandro Pisano3887.34
Usai, E.4395.53