A study of the gait control of a quadruped walking vehicle

Some of the fundamental problems of the gait control of a quadruped walking vehicle are addressed. It is shown that the product of the duty factor and the stride length is equal to the length of the boundary of the reachable area of the leg. Furthermore, the mathematical expression representing the relationship between the stability margin, the stride length and duty factor are also formulated. These equations are expressed in terms of quantities that specify the configuration of the quadruped walking vehicle. Based on the derived results, a graphical approach to determine the required stride length and the duty factor that corresponding to a regular gait with a prescribed static stability margin is presented. This graphical approach is then adopted to determine the regular gait of a quadruped walking vehicle, and the results agree with the analytic approach.

[1]  H. Hemami,et al.  Modeling and control of constrained dynamic systems with application to biped locomotion in the frontal plane , 1979 .

[2]  H. B. Brown,et al.  Machines That Walk , 1983 .

[3]  H. Hemami,et al.  Constrained Inverted Pendulum Model For Evaluating Upright Postural Stability , 1982 .

[4]  I. Kato,et al.  The hydraulically powered biped walking machine with a high carrying capacity , 1972 .

[5]  Shin-Min Song Kinematic optimal design of a six-legged walking machine / , 1984 .

[6]  H. Benjamin Brown,et al.  Experiments in Balance with a 3D One-Legged Hopping Machine , 1984 .

[7]  Shigeo Hirose,et al.  A Study of Design and Control of a Quadruped Walking Vehicle , 1984 .

[8]  Sheng-Jen Tsai,et al.  An experimental study of a binocular vision system for rough terrain locomotion of a hexapod walking robot , 1983 .

[9]  Hooshang Hemami,et al.  Postural and gait stability of a planar five link biped by simulation , 1977 .

[10]  Marc H. Raibert,et al.  Tabular control of balance in a dynamic legged system , 1984, IEEE Transactions on Systems, Man, and Cybernetics.

[11]  Marc H. Raibert,et al.  Hopping in legged systems — Modeling and simulation for the two-dimensional one-legged case , 1984, IEEE Transactions on Systems, Man, and Cybernetics.

[12]  Shu-Shen Sun,et al.  A Theoretical study of gaits for legged locomotion systems , 1974 .

[13]  Marc H. Raibert,et al.  Experiments in Balance With a 2D One-Legged Hopping Machine , 1984 .

[14]  Robert B. McGhee,et al.  Some finite state aspects of legged locomotion , 1968 .

[15]  Hooshang Hemami A state space model for interconnected rigid bodies , 1982 .

[16]  H. Hemami Some aspects of Euler-Newton equations of motion , 1982 .

[17]  R. McGhee,et al.  On the stability properties of quadruped creeping gaits , 1968 .

[18]  Robert B. McGhee,et al.  Adaptive Locomotion of a Multilegged Robot over Rough Terrain , 1979, IEEE Transactions on Systems, Man, and Cybernetics.

[19]  Anil K. Jain,et al.  Some properties of regularly realizable gait matrices , 1972 .

[20]  I. Shimoyama,et al.  Dynamic Walk of a Biped , 1984 .

[21]  A. Morecki,et al.  Theory and Practice of Robots and Manipulators , 1985 .

[22]  Hooshang Hemami,et al.  Postural stability of the two-degree-of-freedom biped by general linear feedback , 1976 .

[23]  A. P. Bessonov,et al.  The Analysis of Gaits in Six-Legged Vehicles According to Their Static Stability , 1974 .

[24]  Yoji Umetani,et al.  The Basic Considerations on Energetic Efficiencies of Walking Vehicle , 1979 .

[25]  D. Wilson Insect walking. , 1966, Annual review of entomology.

[26]  E. Kugushev,et al.  Problems of Selecting A Galt For An Integrated Locomotion Robot , 1975, IJCAI.