Uncertainty and disturbance are common in a planar snake robot model due to its structural complexity and variation in system parameters. To achieve efficient head angle and velocity tracking with least computational complexity and unknown uncertainty bounds, a time-delayed control (TDC) scheme has been presented in this paper. A Serpenoid gait function is being tracked by the joint angles utilizing virtual holonomic constraints (VHCs) method. The first layer of TDC has been proposed for stabilizing the VHC dynamics to the origin. Once the VHCs are satisfied, the system is said to be on the constraint manifold. The second layer of TDC has been applied to an output system defined over the reduced order dynamics on the constrained manifold. To establish the robustness of the control approach through simulation, uncertainty in the friction coefficients is considered to be time-varying emulating change in the ground conditions. Simulation results and Lyapunov stability analysis affirm the uniformly ultimately bounded stability of the robot employing the proposed approach.
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April 2019
Research-Article
A Double-Layered Artificial Delay-Based Approach for Maneuvering Control of Planar Snake Robots Available to Purchase
Joyjit Mukherjee,
Joyjit Mukherjee
Department of Electrical Engineering,
Indian Institute of Technology Delhi,
New Delhi 110016, India
e-mail: joyjit.mukherjee@ee.iitd.ac.in
Indian Institute of Technology Delhi,
New Delhi 110016, India
e-mail: joyjit.mukherjee@ee.iitd.ac.in
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Spandan Roy,
Spandan Roy
Department of Electrical Engineering,
Indian Institute of Technology Delhi,
New Delhi 110016, India
e-mail: spandan.roy@ee.iitd.ac.in
Indian Institute of Technology Delhi,
New Delhi 110016, India
e-mail: spandan.roy@ee.iitd.ac.in
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Indra Narayan Kar,
Indra Narayan Kar
Department of Electrical Engineering,
Indian Institute of Technology Delhi,
New Delhi 110016, India
e-mail: ink@ee.iitd.ac.in
Indian Institute of Technology Delhi,
New Delhi 110016, India
e-mail: ink@ee.iitd.ac.in
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Sudipto Mukherjee
Sudipto Mukherjee
Department of Mechanical Engineering,
Indian Institute of Technology Delhi,
New Delhi 110016, India
e-mail: sudipto@mech.iitd.ac.in
Indian Institute of Technology Delhi,
New Delhi 110016, India
e-mail: sudipto@mech.iitd.ac.in
Search for other works by this author on:
Joyjit Mukherjee
Department of Electrical Engineering,
Indian Institute of Technology Delhi,
New Delhi 110016, India
e-mail: joyjit.mukherjee@ee.iitd.ac.in
Indian Institute of Technology Delhi,
New Delhi 110016, India
e-mail: joyjit.mukherjee@ee.iitd.ac.in
Spandan Roy
Department of Electrical Engineering,
Indian Institute of Technology Delhi,
New Delhi 110016, India
e-mail: spandan.roy@ee.iitd.ac.in
Indian Institute of Technology Delhi,
New Delhi 110016, India
e-mail: spandan.roy@ee.iitd.ac.in
Indra Narayan Kar
Department of Electrical Engineering,
Indian Institute of Technology Delhi,
New Delhi 110016, India
e-mail: ink@ee.iitd.ac.in
Indian Institute of Technology Delhi,
New Delhi 110016, India
e-mail: ink@ee.iitd.ac.in
Sudipto Mukherjee
Department of Mechanical Engineering,
Indian Institute of Technology Delhi,
New Delhi 110016, India
e-mail: sudipto@mech.iitd.ac.in
Indian Institute of Technology Delhi,
New Delhi 110016, India
e-mail: sudipto@mech.iitd.ac.in
Contributed by the Dynamic Systems Division of ASME for publication in the JOURNAL OF DYNAMIC SYSTEMS, MEASUREMENT,AND CONTROL. Manuscript received July 12, 2018; final manuscript received November 13, 2018; published online December 19, 2018. Assoc. Editor: Xuebo Zhang.
J. Dyn. Sys., Meas., Control. Apr 2019, 141(4): 041012 (10 pages)
Published Online: December 19, 2018
Article history
Received:
July 12, 2018
Revised:
November 13, 2018
Citation
Mukherjee, J., Roy, S., Kar, I. N., and Mukherjee, S. (December 19, 2018). "A Double-Layered Artificial Delay-Based Approach for Maneuvering Control of Planar Snake Robots." ASME. J. Dyn. Sys., Meas., Control. April 2019; 141(4): 041012. https://doi.org/10.1115/1.4042033
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