The field of control and stabilization of distributed parameter systems described by partial differential equations has recently seen an increasing number of results published by very respected researchers in excellent control engineering and applied mathematics journals. This paper presents a survey of control and stabilization results with emphasis on controls. Various distributed parameter dynamic control and stabilization problems have been studied corresponding to heat conduction, wave propagation, Schrodinger equation, crowd (swarm) dynamics, magneto-hydro-dynamic channel flow, string and beam equations, viscous Burger equation, and general diffusion equations. Various techniques have been used for control and stabilization of such systems: Lyapunov stabilization, backstepping, gain scheduling, singular perturbations, sliding mode control, observer driven controller, tracking control, sampled-data control, neural networks. The field still remains widely open for future research. Applications of surveyed results to various areas including robots, aircraft, networks, transmission lines, electrochemical processes in energy systems are indicated.
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ASME 2014 International Mechanical Engineering Congress and Exposition
November 14–20, 2014
Montreal, Quebec, Canada
Conference Sponsors:
- ASME
ISBN:
978-0-7918-4647-6
PROCEEDINGS PAPER
Recent Trends in Stabilization and Control of Distributed Parameter Dynamic Systems
Verica Radisavljevic-Gajic,
Verica Radisavljevic-Gajic
Villanova University, Villanova, PA
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Dimitrios A. Karagiannis,
Dimitrios A. Karagiannis
Villanova University, Villanova, PA
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Meng-Bi Cheng,
Meng-Bi Cheng
National Chung-Hsing University, Taichung, Taiwan
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Wu-Chung Su
Wu-Chung Su
National Chung-Hsing University, Taichung, Taiwan
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Verica Radisavljevic-Gajic
Villanova University, Villanova, PA
Dimitrios A. Karagiannis
Villanova University, Villanova, PA
Meng-Bi Cheng
National Chung-Hsing University, Taichung, Taiwan
Wu-Chung Su
National Chung-Hsing University, Taichung, Taiwan
Paper No:
IMECE2014-37151, V04AT04A004; 8 pages
Published Online:
March 13, 2015
Citation
Radisavljevic-Gajic, V, Karagiannis, DA, Cheng, M, & Su, W. "Recent Trends in Stabilization and Control of Distributed Parameter Dynamic Systems." Proceedings of the ASME 2014 International Mechanical Engineering Congress and Exposition. Volume 4A: Dynamics, Vibration, and Control. Montreal, Quebec, Canada. November 14–20, 2014. V04AT04A004. ASME. https://doi.org/10.1115/IMECE2014-37151
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