This paper deals with the fault detection, isolation (FDI) and reconfiguration of the locomotion of a bipedal-legged robot. Initially, the planar model of the legged robot in the vertical plane is developed using a bond graph (BG) approach. Then, the planar BG model of the legged robot is extended to the three-dimensional legged robot. Two individual motors are used to actuate the prismatic leg of the robot for locomotion. The BG simulation provides results for straight walking based on an oscillating cylinder mechanism and the turning motion of the legged robot are discussed. The prototype model of the legged robot is also developed and experimentation is done for straight and inclined plane applications. Finally, an FDI technique for the three-dimensional model of a legged robot is developed for the generation of fault indicators (i.e., analytical redundancy relations; ARRs) in the presence of system failure. The ARRs are derived from the BG model of the legged robot during the occurrences of the fault. The experimental results are validated with the simulation results for FDI and reconfiguration when the robot manoeuvres in a U-shaped path. The real-time fault diagnosis and reconfiguration for locomotion of the legged robot is possible with this FDI approach.
HollerbachJM.A recursive lagrangian formulation of manipulator dynamics and a comparative study of dynamics formulation complexity. IEEE Trans Syst Man Cybern1980; 10: 730–736.
2.
ArmstrongWW. Recursive solution of the equations of motion of an n-link manipulator. In: Proceedings of the Fifth World Congress on the Theory of Machines and Mechanisms, Montral, Canada, 8–13 July 1979, pp.1342–1346.
3.
BanerjeeAK.Block-diagonal equations for multi-body elasto dynamics with geometric stiffness and constraints. J Guid Control Dyn1993; 16: 1092–1100.
4.
BaeHaugEJ. A recursive formulation for constrained mechanical system dynamics: Part I. Open loop syst. Mech Struct Mach1987; 12: 359–382.
SilvaMBarbosaRCastroT.Multi-legged walking robot modelling in MATLAB/Simmechanics and its simulation. In: Proceeding of the 8th EUROSIM Congress, Wales, United Kingdom, 10–13 September 2013, pp.58–65.
7.
GorMMPathakPMSamantarayAK, et al. Control of compliant legged quadruped robots in the workspace. Simul2015; 91: 103–125.
8.
ShengBHuaqingMMinD, et al. Modelling and control for a bipedal robot on slopes. Trans Inst Meas Contr2012; 35: 910–921.
9.
ShihCLLeeWYWuCP.Planning and control of stable walking for a 3D bipedal robot. Int J Adv Rob Syst2012; 9: 1–10.
10.
HashemiEKhajepourA.Kinematic and three-dimensional dynamic modelling of a biped robot. Proc IMechE Part K: J Multi-body Dyn2016; 231: 57–73.
11.
WeeTCAstolfiAMingX.The design and control of a bipedal robot with sensory feedback. Int J Adv Rob Syst2013; 10: 1–12.
12.
AnkaraliA.Fuzzy logic velocity control of a biped robot locomotion and simulation. Int J Adv Robotic Sys2012; 9: 1–10.
13.
BhattacharyaSDuttaSMaitiTK, et al. Machine learning algorithm for autonomous control of a walking robot. In: IEEE proceeding of International Symposium on Devices, Circuits and Systems, India, 29–31 March 2018, pp.15–19.
14.
BaeHOhJH.Biped robot state estimation using compliant inverted pendulum model. Robo Auton Sys2018; 108: 38–50.
15.
ZengDEDanWDGangTJ, et al. A stable gait planning method of biped robot based on ankle smooth fitting. Int J Contr Auto Sys2018; 16: 284–294.
16.
KrishnanVLPathakPMJainSC.Reconfiguration of a four-legged walking robot for actuator faults. Proc IMechE, Part I: J. Syst Contr Eng2012; 226: 11–26.
17.
MukherjeeAKarmakarRSamantarayAK.Bond graphs in modelling, simulation and fault identification. Florida: CRC Press, 2006.
18.
SamantarayAKOuld BouamamaB.Model-based process supervision. London: Springer, 2008.
19.
YangJM.Omni-directional walking of legged robots with a failed leg. Math Comput Model2008; 47: 1372–1388.
20.
YangJM.Two-phase discontinuous gaits for quadruped walking machines with a failed leg. Robo Auton Syst2008; 56: 728–737.
21.
JakimovskiBMeyerBMaehleE. Swarm intelligence for self-reconfiguring walking robot. In: Proceedings of the IEEE Symposium on Swarm Intelligence, St. Louis, 21–23 September 2008, pp.1–8.
22.
ChiCZZhangWGZhuJL, et al. A method for comprehensive diagnosis of sensors of flight control system using analytical redundancy. In: Proceedings of the International Conference on Electrical and Control Engineering, Wuhan, 25–27 June 2010, pp.4892–4895.
23.
GorMMPathakPMSamantarayAK, et al. Fault accommodation in compliant quadruped robot through a moving appendage mechanism. Mech Mach Theor2018; 121: 228–244.
24.
YazdjerdiPMeskinN.Design and real time implementation of actuator fault tolerant control for differential drive mobile robots based on multiple model approach. Proc IMechE Part I: J Sys Contr Eng2018; 232: 652–661.
25.
BosAM.Modelling multibody systems in terms of multibond graphs, with application to a motorcycle. PhD Thesis, Twente University, Enschede, The Netherlands, 1986.
26.
DauphinTGRahmaniASueurC.Bond graph-aided design of controlled systems. Simul Pract Theor1999; 7: 493–513.
27.
GawthropPJ.Bond graphs: a representation for mechatronic systems. Mechatron1991; 1: 127–156.
28.
BeraTKBhattacharyaKSamantarayAK.Bond graph model-based evaluation of a sliding mode controller for a combined regenerative and antilock braking system. Proc IMechE, Part I: J Syst Contr Eng2011; 225: 918–934.
29.
MukherjeeA.Users manual of SYMBOLS Shakti. High Tech Consultants, STEP, Indian Institute of Technology, Kharagpur, 2006.
PathakPMMukherjeeADasguptaA.Impedance control of space robots using passive degrees of freedom in controller domain. Trans ASME, J Dyn Syst Meas Contr2005; 127: 564–578.
32.
PathakPMSamantarayAKMerzoukiRB. Reconfiguration of directional handling of an autonomous vehicle. In: Proceeding of the IEEE Region 10 Colloquium and the Third ICIIS, Kharagpur, India, 8–10 December 2008, pp.1–6.
33.
KrishnanVLPathakPMJainSC.Reconfiguration of a four legged walking robot for actuator faults. Proc IMechE, Part I: J Syst Contr Eng2011; 10: 11–26.
34.
GhoshalSKSamantarayAK.Model based fault diagnosis, fault tolerant control and reconfiguration of hydraulic and thermofluid processes using analytical redundancy. Int J Autom Contr2009; 3: 363–384.
