An optimal control problem for single-spot pulsed laser welding

Journal of Mathematics in Industry

Table 3 Numerical report on the series of optimizations with zero initial guess

\(P_{\text{YAG}}\)	T	Welding depth	\(J_{\text{penetration}}\)	\(J_{\text{velocity}}\)	\(J_{\text{control}}\)	\(J_{\text{total}}\)
1500	0.010	0.11875	0.0243	0.0958	0.2522	0.3724
1500	0.015	0.11875	0.0002	0.0000	0.2530	0.2532
1500	0.020	0.11250	0.0000	0.0000	0.2640	0.2640
1800	0.010	0.12500	0.0000	0.0000	0.1639	0.1640
1800	0.015	0.11875	0.0001	0.0000	0.1741	0.1741
1800	0.020	0.11250	0.0000	0.0000	0.1846	0.1846
2100	0.010	0.12500	0.0001	0.0000	0.1206	0.1207
2100	0.015	0.11875	0.0000	0.0000	0.1302	0.1302
2100	0.020	0.11250	0.0001	0.0000	0.1375	0.1375