Sampled weighted attraction control of distributed thermal scan welding
Kybernetika, Tome 35 (1999) no. 1, pp. 117-132 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

This article addresses the problem of distributed-parameter control for a class of infinite-dimensional manufacturing processes with scanned thermal actuation, such as scan welding. This new process is implemented on a robotic GTAW laboratory setup with infrared pyrometry, and simulated by a flexible numerical computation program. An analytical linearized model, based on convolution of Green’s fields, is expressed in multivariable state-space form, with its time-variant parameters identified in-process. A robust controller design compensates for model uncertainty, and a sampled weighted attraction method is introduced for heat source guidance based on real-time thermal optimization of the heat input distribution. The distributed thermal regulation strategy with infrared feedback is validated both computationally and experimentally in scan welding tests.
This article addresses the problem of distributed-parameter control for a class of infinite-dimensional manufacturing processes with scanned thermal actuation, such as scan welding. This new process is implemented on a robotic GTAW laboratory setup with infrared pyrometry, and simulated by a flexible numerical computation program. An analytical linearized model, based on convolution of Green’s fields, is expressed in multivariable state-space form, with its time-variant parameters identified in-process. A robust controller design compensates for model uncertainty, and a sampled weighted attraction method is introduced for heat source guidance based on real-time thermal optimization of the heat input distribution. The distributed thermal regulation strategy with infrared feedback is validated both computationally and experimentally in scan welding tests.
Classification : 80M50, 93B51, 93C20, 93C95
Keywords: scan welding; thermal control; distributed parameter; numerical method
@article{KYB_1999_35_1_a10,
     author = {Doumanidis, Charalabos C.},
     title = {Sampled weighted attraction control of distributed thermal scan welding},
     journal = {Kybernetika},
     pages = {117--132},
     year = {1999},
     volume = {35},
     number = {1},
     mrnumber = {1705535},
     zbl = {1274.80023},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KYB_1999_35_1_a10/}
}
TY  - JOUR
AU  - Doumanidis, Charalabos C.
TI  - Sampled weighted attraction control of distributed thermal scan welding
JO  - Kybernetika
PY  - 1999
SP  - 117
EP  - 132
VL  - 35
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/KYB_1999_35_1_a10/
LA  - en
ID  - KYB_1999_35_1_a10
ER  - 
%0 Journal Article
%A Doumanidis, Charalabos C.
%T Sampled weighted attraction control of distributed thermal scan welding
%J Kybernetika
%D 1999
%P 117-132
%V 35
%N 1
%U http://geodesic.mathdoc.fr/item/KYB_1999_35_1_a10/
%G en
%F KYB_1999_35_1_a10
Doumanidis, Charalabos C. Sampled weighted attraction control of distributed thermal scan welding. Kybernetika, Tome 35 (1999) no. 1, pp. 117-132. http://geodesic.mathdoc.fr/item/KYB_1999_35_1_a10/

[1] Astrom K. J., Wittenmark B.: Adaptive Control. Addison–Wesley, Reading 1995 | MR

[2] Carslaw H. S., Jaeger J. C.: Conduction of Heat in Solids. Oxford Press, London 1959 | MR | Zbl

[3] Delfour M., Mitter S. K.: Controllability and observability for infinite dimensional systems. SIAM J. Control 10 (1972), 329–333 | DOI | MR | Zbl

[4] Doumanidis C. C.: Modeling and control of timeshared and scanned torch welding. ASME J. of Dynamic Systems, Measurement and Control 116 (1994), 3, 387–395 | DOI

[5] Doumanidis C. C., Hardt D. E.: Simultaneous in–process control of heat–affected zone and cooling rate ruring arc welding. Welding Journal 69 (1990), 5, 186s–196s

[6] Duff I. S., Stewart D. J.: Sparse Matrix Proceedings. SIAM, Philadephia, 1979 | MR | Zbl

[7] Hale M. B., Hardt D. E.: Multi–output process dynamics in GMAW: limits to control. Internat. Trends in Welding Science and Technology, ASM Gatlinburg TN, (1992), 1015–1020

[8] Rosenbluth N. Metropolis, A. M., Teller A. E.: J. Chem. Phys. (1953), 1087–1092

[9] Miyachi H.: $n$–Process Control of Root-Gap Changes During Butt Welding. Dept. of Mechanical Engineering, MIT, Cambridge, MA 1989

[10] Murio D. A.: The Molification Method and the Numerical Solution of Ill–Posed Problems. Wiley, New York 1993 | MR

[11] Ray W. H., Lainiotis D. G.: DPS–Identification, Estimation and Control. M. Dekker, New York 1978 | MR

[12] Schmitendorf W. E., Barmish B. R.: Guaranteed asymptotic stability for systems with constant disturbances. In: Proceedings of ACC, Boston 1985