Abstract
Trajectory planning of robot’s center of gravity (CoG) is the main concern when a legged robot is walking. The trajectory of the robot should be framed such that the center of pressure (CoP) of the robot should lie within supporting polygon at all time. This paper deals with the study of support polygon and graphical analysis to find the location of CoG, where the robot has high chances to go to instability. The quadrilateral supporting phases are utilized to avoid these instability locations. Further, the analysis is done to find the timely sequence of lift and touchdown of legs (lift and touch are called as events of legs). Based on the sequence of events and the support polygon analysis, trajectory of the robot is defined, which can produce smooth, steady, and stable robot motion. Though the robot gains static stability by trajectory planning, its dynamic stability should also be verified. This is done using zero moment point (ZMP) method. The analysis done in this paper is for the unswaying robot, walking on flat terrain.
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References
Anon.: Logistical Vehicle Off-Road Mobility. Project TCCO 62–5; U. S. Army Transportation Combat Developments Agency; Fort Eustis, Va (1967).
D. Vishal, P. V. Mannvannan.: Design and analysis of active vibration and stability control of a bio-inspired quadruped robot. Int. Jou. Computational Vision and Robotics (2016).
Boston Dynamics Corp, Big Dog Overview [online]. Big Dog: An Overview. http://www.bostondyanmics.com/img/bigdog/overview.
D. Vishal, P. V. Manivannan.: Multibody dynamics simulation and gait pattern analysis of a bio-inspired quadruped robot for unstructured terrain using adaptive stroke length, Artificial Life and Robotics-Springer (2016).
Min‐Hsiung Hung, Fan‐Tien Cheng, Hao‐Lun Lee & David E. Orin.: Increasing the stability margin of multilegged vehicles through body sway. Journal of the Chinese Institute of Engineers, Vol. 28, No. 1, pp. 39–54 (2005).
A. A. Frank.: Automatic Control System for Legged Locomotion Machines,” USC Rept., p. 273 (1969).
McGhee, R. B., and Frank, A. A.: On the Stability of Quadruped Creeping Gaits. Mathematical Biosciences, Vol. 3, No. 3/4, pp. 331–353.
Hironori Adachi, Noriho Koyachi, and Eiji Nakano.: Mechanism and Control of a Quadruped Walking Robot, IEEE Control Systems Magazine.
Reza Yazdani, Vahid. Johari Majd, and Reza Oftadeh.: Dynamically Stable Trajectory Planning for a Quadruped Robot. 20th Iranian Conference on Electrical Engineering, (ICEE2012), Tehran, Iran (2012).
W. Scott Persons, Victoria Arbour, Jessica Edwards, Matthew Vavrek, Philip Currie, and Eva Koppelhus.: DINO101- Moving Around, University of Alberta.
Mayuresh Maradkar, Aaditya Chandramouli, P. V. Manivannan.: Bio-inspired Reconfigurable Robot: Conceptual Design of an All-terrain Robot Capable of Transforming from an Erect to Sprawling Posture. 3rd Int. Conf. Mechatronics and Robotic Engineering (ICMRE), Paris, France (2017).
Mayuresh Maradkar, P. V. Manivannan.: Kinematics and Multi-body Dynamics of a Bio-inspired Quadruped Robot with Nine Linked Closed Chain Legs. International Conference on Robotics: Current Trends and Future Challenges (RCTFC), Thanjavur, India, (2016).
Shuaishuai Zhang, Xuewen Rong, Yibin Li and Bin Li.: A Composite COG Trajectory Planning Method for the Quadruped Robot Walking on Rough Terrain. International Journal of Control and Automation Vol. 8, No. 9, pp. 101–118, (2015).
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Maradkar, M.S., Manivannan, P.V. (2019). Trajectory Planning and Gait Analysis for the Dynamic Stability of a Quadruped Robot. In: Panigrahi, B., Trivedi, M., Mishra, K., Tiwari, S., Singh, P. (eds) Smart Innovations in Communication and Computational Sciences. Advances in Intelligent Systems and Computing, vol 670. Springer, Singapore. https://doi.org/10.1007/978-981-10-8971-8_24
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