Paper Info
Title
Robust stabilization of an uncertain diffusion process with boundary control and sensing
Abstract
The primary concern of the present paper is the regulation of an uncertain heat process with collocated boundary sensing and Neumann-type actuation. It exhibits an unknown constant diffusivity parameter and it is affected by a smooth boundary disturbance, which is possibly unbounded in magnitude. The proposed robust synthesis is formed by a discontinuous version of a PI controller. It is applied here for the global asymptotic stabilization of an infinite dimensional system in a suitable Sobolev space. The Lyapunov based stability proof is accompanied by a set of simple tuning rules for the controller parameters. The effectiveness of the developed scheme is supported by simulation results.
Year
DOI
Venue
2012
10.1109/CDC.2012.6427052
Decision and Control
Keywords
Field
DocType
Lyapunov methods,PI control,actuators,asymptotic stability,control system synthesis,diffusion,heat systems,multidimensional systems,uncertain systems,Lyapunov based stability proof,Neumann-type actuation,PI controller,Sobolev space,boundary control,collocated boundary sensing,constant diffusivity parameter,discontinuous version,global asymptotic stabilization,infinite dimensional system,robust stabilization,robust synthesis,smooth boundary disturbance,tuning rules,uncertain diffusion process,uncertain heat process,Boundary control,Discontinuous control,Heat equation,Uncertain systems
Diffusion process,Lyapunov function,Mathematical optimization,Control theory,PID controller,Computer science,Control theory,Sobolev space,Exponential stability,Adaptive control,Multidimensional systems
Conference
ISSN
ISBN
Citations 
0743-1546 E-ISBN : 978-1-4673-2064-1
978-1-4673-2064-1
0
PageRank 
References 
Authors
0.34
6
3
Name
Order
Citations
PageRank
Yury Orlov1213.44
Alessandro Pisano2887.34
Usai, E.3395.53