Title | ||
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On the boundary control of distributed parameter systems by second-order sliding-mode technique. Recent advances and new results |
Abstract | ||
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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 |
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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. | 1 | 4 | 0.81 |
Yury Orlov | 2 | 21 | 3.44 |
Alessandro Pisano | 3 | 88 | 7.34 |
Usai, E. | 4 | 39 | 5.53 |