The goal of the study was to perform both kinematic and dynamic simulation of an octopod robot walking on a flat and hard surface. To drive robot legs, different non-linear mechanical oscillators were employed as central pattern generators. Aside from using some well-known oscillators, a new model was proposed. Time series of robot’s kinematic and dynamic locomotion parameters were computed and discussed. Displacement and velocity of the centre of gravity of the robot, ground reaction forces acting on the robot legs, as well as some aspects of energy consumption of a walking robot were analysed to assess the central pattern generators. The obtained kinematic and dynamic parameters showed some advantages of the applied generator. In particular, the gait of the robot was most stable when the robot was driven by the proposed central pattern generator model.
McGheeRBFrankAA.On the stability properties of quadruped creeping gaits. Math Biosci1968; 3: 331–351.
2.
GalvezJAEstremeraJDe SantosPG.A new legged-robot configuration for research in force distribution. Mechatronics2003; 13: 907–932.
3.
FukuokaYKimuraHHadaYet al. Adaptive dynamic walking of a quadruped robot ‘Tekken’ on irregular terrain using a neural system model. In: Proceedings of the IEEE international conference on robotics and automation (Cat. No.03CH37422), Taipei, Taiwan, 14–19 September 2003, vol. 2, pp.2037–2042. New York: IEEE.
RutishauserSSprowitzARighettiLet al. Passive compliant quadruped robot using central pattern generators for locomotion control. In: Proceedings of the 2nd IEEE RAS & EMBS International Conference on Biomedical Robotics and Biomechatronics, Scottsdale, AZ, 19–22 October 2008, pp.710–715.
7.
KatoKHiroseS.Development of the quadruped walking robot, TITAN-IX -mechanical design concept and application for the humanitarian de-mining robot. Adv Robot2001; 15: 191–204.
8.
CobanoJAEstremeraJGonzalezDeSantosP. Accurate tracking of legged robots on natural terrain. Auton Robot2010; 28: 231–244.
9.
SoyguderSAlliH.Kinematic and dynamic analysis of a hexapod walking–running–bounding gaits robot and control actions. Comput Electr Eng2012; 38: 444–458.
10.
OzkulMCSaranliAYaziciogluY.Acoustic surface perception from naturally occurring step sounds of a dexterous hexapod robot. Mech Syst Signal Pr2013; 40: 178–193.
11.
ZhangHLiuYZhaoJet al. Development of a bionic hexapod robot for walking on unstructured terrain. J Bionic Eng2014; 11: 176–187.
12.
AgheliMQuLNestingerSS.SHeRo: scalable hexapod robot for maintenance, repair, and operations. Robot Cim: Int Manuf2014; 30: 478–488.
13.
HenreyMAhmedABoscariolPet al. Abigaille-III: a versatile, bioinspired hexapod for scaling smooth vertical surfaces. J Bionic Eng2014; 11: 1–17.
14.
NelsonGMQuinnRDBachmannRJet al. Design and simulation of a cockroach-like hexapod robot. In: Proceedings of the international conference on robotics and automation, Albuquerque, NM, 25 April 1997, pp.3–8. New York: IEEE.
15.
SaranliUBuehlerMKoditschekDE.RHex: a simple and highly mobile hexapod robot. Int J Robot Res2001; 20: 616–631.
16.
ChenXWangLQYeXFet al. Prototype development and gait planning of biologically inspired multi-legged crablike robot. Mechatronics2013; 23: 429–444.
17.
GrzelczykDStańczykBAwrejcewiczJ.Prototype, control system architecture and controlling of the hexapod legs with nonlinear stick-slip vibrations. Mechatronics2016; 37: 63–78.
18.
KlaassenBLinnemannRSpennebergDet al. Biomimetic walking robot SCORPION: control and modeling. Robot Auton Syst2002; 41: 69–76.
19.
PullinAOKohutNJZarroukDet al. Dynamic turning of 13 cm robot comparing tail and differential drive. In: Proceedings of the IEEE international conference on robotics and automation, Saint Paul, MN, 14–18 May 2012, pp.5086–5093. New York: IEEE.
BaKYuBGaoZet al. Parameters sensitivity analysis of position-based impedance control for bionic legged robots’ HDU. Appl Sci2017; 7: 1035.
22.
PoulakakisISmithJABuehlerM.Modeling and experiments of untethered quadrupedal running with a bounding gait: the scout II robot. Int J Robot Res2005; 24: 239–256.
23.
KimuraHFukuokaYCohenAH.Adaptive dynamic walking of a quadruped robot on natural ground based on biological concepts. Int J Robot Res2007; 26: 475–490.
24.
RongXLiYRuanJet al. Design and simulation for a hydraulic actuated quadruped robot. J Mech Sci Technol2012; 26: 1171–1177.
25.
SeminiCBarasuolVBoaventuraTet al. Towards versatile legged robots through active impedance control. Int J Robot Res2015; 34: 1003–1020.
26.
SteingrubeSTimmeMWörgötterFet al. Self-organized adaptation of a simple neural circuit enables complex robot behaviour. Nat Phys2010; 6: 224–230.
27.
GrzelczykDStańczykBAwrejcewiczJ.Estimation of the contact forces between the hexapod legs and the ground during walking in the tripod gait. Vib Phys Syst2016; 27: 107–114.
28.
RoySSPratiharDK.Kinematics, dynamics and power consumption analyses for turning motion of a six-legged robot. J Intell Robot Syst2014; 74: 663–688.
29.
SilvaMFMachadoJATBarbosaRS.Complex-order dynamics in hexapod locomotion. Signal Pr2006; 86: 2785–2793.
30.
DengHXinGZhongGet al. Gait and trajectory rolling planning and control of hexapod robots for disaster rescue applications. Robot Auton Syst2017; 95: 13–24.
31.
WangGChenXHanSK.Central pattern generator and feedforward neural network-based self-adaptive gait control for a crab-like robot locomoting on complex terrain under two reflex mechanisms. Int J Adv Robot Syst2017; 14: 1–13.
32.
ZhangHZhangGWangJ.H∞ Observer design for LPV systems with uncertain measurements on scheduling variables: application to an electric ground vehicle. IEEE/ASME T Mech2016; 21: 1659–1670.
33.
WangYXiaYMemberSet al. SMC design for robust stabilization of nonlinear Markovian jump singular systems. IEEE T Automat Contr2018; 63: 219.
34.
WangYShenHKarimiHRet al. Dissipativity-based fuzzy integral sliding mode control of continuous-Time T-S fuzzy systems. IEEE T Fuzzy Syst2018; 26: 1164–1176.
35.
GrzelczykDStańczykBAwrejcewiczJ.Kinematics, dynamics and power consumption analysis of the hexapod robot during walking with tripod gait. Int J Struct Stab Dy2017; 17: 1740010.
36.
GrzelczykDStańczykBSzymanowskaOet al. Simulation of the octopod robot controlled by different central patterns generators. In: Proceedings of the 14th international conference dynamical systems – theory and applications (eds JAwrejcewiczMKaźmierczakJMrozowskiet al.), Lodz, 11–14 December 2017, pp.229–238.Singapore: Defence Science & Technology Agency.
37.
DürrVSchmitzJCruseH.Behaviour-based modelling of hexapod locomotion: linking biology and technical application. Arthropod Struct Dev2004; 33: 237–250.
38.
SchillingMHoinvilleTSchmitzJet al. Walknet, a bio-inspired controller for hexapod walking. Biol Cybern2013; 107: 397–419.
39.
ZhaoJZhangHLiuYet al. Development of the hexapod robot HITCR-II for walking on unstructured terrain. In: IEEE international conference on mechatronics and automation (ICMA), Chengdu, China, 5–8 August 2012, pp.64–69. New York: IEEE.
40.
CruseHKindermannTSchummMet al. Walknet – a biologically inspired network to control six-legged walking. Neural Netw1998; 11: 1435–1447.
41.
KuoAD.The relative roles of feedforward and feedback in the control of rhythmic movements. Motor Control2002; 6: 129–145.
42.
HultbornHNielsenJB.Spinal control of locomotion–from cat to man. Acta Physiol2007; 189: 111–121.
43.
DannerSMHofstoetterUSFreundlBet al. Human spinal locomotor control is based on flexibly organized burst generators. Brain2015; 138: 577–588.
44.
CohenAHHolmesPJRandRH.The nature of the coupling between segmental oscillators of the lamprey spinal generator for locomotion: a mathematical model. J Math Biol1982; 13: 345–369.
45.
WangTGuoWLiMet al. CPG control for biped hopping robot in unpredictable environment. J Bionic Eng2012; 9: 29–38.
46.
de Pina FilhoACDutraMS. Application of hybrid van der Pol-Rayleigh oscillators for modeling of a bipedal robot. Mech Solids Brazil2009; 1: 209–221.
47.
ChenWRenGZhangJet al. Smooth transition between different gaits of a hexapod robot via a central pattern generators algorithm. J Intell Robot Syst2012; 67: 255–270.
48.
LiuHJiaWBiL. Hopf oscillator based adaptive locomotion control for a bionic quadruped robot. In: Proceedings of the IEEE international conference on mechatronics and automation (ICMA), Takamatsu, Japan, 6–9 August 2017, pp.949–954. New York: IEEE.
49.
FrantsevichL.Optimal leg design in a hexapod walker. J Theor Biol1995; 175: 561–566.
50.
DelcomynFNelsonME.Architectures for a biomimetic hexapod robot. Robot Auton Syst2000; 30: 5–15.
51.
JinBChenCLiW.Power consumption optimization for a hexapod walking robot. J Intell Robot Syst2013; 71: 195–209.
52.
NishiiJ.Legged insects select the optimal locomotor pattern based on the energetic cost. Biol Cybern2000; 83: 435–442.
53.
NishiiJ.An analytical estimation of the energy cost for legged locomotion. J Theor Biol2006; 238: 636–645.
54.
SiregarHP.Simulation of power consumption for walking robot. In: Proceedings of the fifth international workshop on robot motion and control, 2005 (RoMoCo ‘05), Dymaczewo, 23–25 June 2005, pp.27–32. New York: IEEE.
55.
RoySSPratiharDK.Effects of turning gait parameters on energy consumption and stability of a six-legged walking robot. Rob Auton Syst2012; 60: 72–82.
56.
De SantosPGGarciaEPonticelliRet al. Minimizing energy consumption in hexapod robots. Adv Robot2009; 23: 681–704.
