Biped robots have better mobility than conventional wheeled robots, but the
y tend to tip over easily. To be able to walk stably in various environment
s, such as on rough terrain, up and down slopes, or in regions containing o
bstacles, it is necessary for the robot to adapt to the ground conditions w
ith a foot motion, and maintain its stability with a torso motion. When the
ground conditions and stability constraint are satisfied, it is desirable
to select a walking pattern that requires small torque and velocity of the
joint actuators. In this paper, we first formulate the constraints of the f
oot motion parameters. By varying the values of the constraint parameters,
we can produce different types of foot motion to adapt to ground conditions
. We then propose a method for formulating the problem of the smooth hip mo
tion with the largest stability margin using only two parameters, and deriv
e the hip trajectory by iterative computation. Finally, the correlation bet
ween the actuator specifications and the walking patterns is described thro
ugh simulation studies, and the effectiveness of the proposed methods is co
nfirmed by simulation examples and experimental results.