Optimal Straight Line Trajectory Generation in 3D Space using Deviation Algorithm

This paper presents an efficient method of obtaining a straight-line motion in the tool configuration space using an articulated robot between two specified points. The simulation results & the implementation results show the effectiveness of the method.




References:
[1] Craig J, Introduction to Robotics : Mechanics, Dynamics & Control,
Addison Wessely, USA, 1986.
[2] Robert, J. Schilling, Fundamentals of Robotics - Analysis and Control,
PHI, New Delhi.
[3] Klafter, Thomas and Negin, Robotic Engineering, PHI, New Delhi.
[4] Fu, Gonzalez and Lee, Robotics: Control, Sensing, Vision and
Intelligence, McGraw Hill.
[5] Groover, Weiss, Nagel and Odrey, Industrial Robotics, McGraw Hill.
[6] Ranky, P. G., C. Y. Ho, Robot Modeling, Control & Applications, IFS
Publishers, Springer, UK.
[7] Crane, Joseph Duffy, Kinematic Analysis of Robotic Manipulators,
Cambridge Press, UK.
[8] Manjunath, T.C., (2005), Fundamentals of Robotics, Fourth edn., Nandu
Publishers, Mumbai.
[9] Manjunath, T.C., (2005), Fast Track to Robotics, Second edn., Nandu
Publishers, Mumbai.
[10] Dhananjay K Teckedath, Image Processing, Third edn., Nandu
Publishers, Mumbai.
[11] Gonzalvez and Woods, Digital Image Processing, Addison Wesseley
Publishers.
[12] Anil K Jain, Digital Image Processing, Prentice Hall, Englewood Cliffs,
New Jersey, USA.
[13] http://www.wikipedia.org
[14] Michael Dipperstein, Run Length Encoding (RLE) Discussion and
Implementation.
[15] Flusser, J.; Suk, T.; Saic, S., Recognition of blurred images by the
method of moments, Image Processing, IEEE Transactions.
[16] Bob Bailey, Moments in Image Processing, Nov. 2002.
[17] Phillip Coiffette, (1995), Robotics Series, Volume I to VIII, Kogan
Page, London, UK.
[18] William Burns and Janet Evans, (2000), Practical Robotics - Systems,
Interfacing, Applications, Reston Publishing Co.
[19] Yoshikawa T., (1984), "Analysis and Control of Robot Manipulators
with Redundancy", Proc. First Int. Symp. on Robotics Research,
Cambridge, MIT Press, pp. 735-748.
[20] Whitney DE., (1972), "The Mathematics of Coordinated Control of
Prosthetic Arms and Manipulators", Trans. ASM J. Dynamic Systems,
Measurements and Control, Vol. 122, pp. 303-309.
[21] Lovass Nagy V, R.J. Schilling, (1987), "Control of Kinematically
Redundant Robots Using {1}-inverses", IEEE Trans. Syst. Man,
Cybernetics, Vol. SMC-17 (No. 4), pp. 644-649.
[22] Lovass Nagy V., R J Miller and D L Powers, (1978), "An Introduction
to the Application of the Simplest Matrix-Generalized Inverse in
Systems Science", IEEE Trans. Circuits and Systems, Vol. CAS-25 (No.
9), pp. 776.