Optimal Control of Robot Guided Laser Material Treatment

Laser material treatments such as hardening or welding have become a basic part of the process chain for sophisticated metal workpieces. Mounted on industrial robots, laser treatment devices become increasingly important in automated manufacturing, especially in automotive industry.

[1]  J. M. Watt Numerical Initial Value Problems in Ordinary Differential Equations , 1972 .

[2]  E. Hairer,et al.  Solving Ordinary Differential Equations II: Stiff and Differential-Algebraic Problems , 2010 .

[3]  Dietmar Hömberg,et al.  The heat treatment of steel – a mathematical control problem , 2009 .

[4]  Dietmar Hömberg,et al.  PID control of laser surface hardening of steel , 2006, IEEE Transactions on Control Systems Technology.

[5]  Andreas Steinbrecher,et al.  Numerical Solution of Quasi-Linear Differential-Algebraic Equations and Industrial Simulation of Multibody Systems , 2006 .

[6]  Jean-Claude Latombe,et al.  Robot motion planning , 1970, The Kluwer international series in engineering and computer science.

[7]  Hector O. Fattorini,et al.  Infinite Dimensional Optimization and Control Theory: References , 1999 .

[8]  Bruno Assmann,et al.  Technische Mechanik 3: Kinematik und Kinetik , 2011 .

[9]  Stefan Volkwein,et al.  Control of laser surface hardening by a reduced-order approach using proper orthogonal decomposition , 2003 .

[10]  Dietmar Hömberg,et al.  Numerical simulation of the surface hardening of steel , 1999 .

[11]  Steven M. LaValle,et al.  Optimal motion planning for multiple robots having independent goals , 1998, IEEE Trans. Robotics Autom..

[12]  J. Lambert Numerical Methods for Ordinary Differential Equations , 1991 .

[13]  Mark H. Overmars,et al.  Coordinated path planning for multiple robots , 1998, Robotics Auton. Syst..

[14]  Farid M. L. Amirouche,et al.  Computational Methods in Multibody Dynamics , 1992 .

[15]  Andreas Steinbrecher,et al.  GEOMS: A New Software Package for the Numerical Simulation of Multibody Systems , 2008, Tenth International Conference on Computer Modeling and Simulation (uksim 2008).

[16]  F. L. Chernousko,et al.  Optimization in control of robots , 1994 .

[17]  O. V. Stryk,et al.  Optimal control of the industrial robot Manutec r3 , 1994 .

[18]  W. Rulka Effiziente Simulation der Dynamik mechatronischer Systeme für industrielle Anwendungen , 2001 .

[19]  R. Courant,et al.  Methoden der mathematischen Physik , .

[20]  Ronald L. Huston,et al.  Dynamics of Multibody Systems , 1988 .