Several optimal three-dimensional orbital transfer problems are solved for thrust-limited spacecrafts using collocation and nonlinear programming techniques. The solutions for full nonlinear equations of motion are obtained where the integrals of the free Keplerian motion in three dimensions are utilized for coasting arcs. In order to limit the solution space, interior-point constraints are use...

We examine a dual-quaternion formulation for expressing the relative rigid body motion between two objects when incidence constraints are to be observed. The incidences are between points, lines and planes, of the two parts. Both parametric and implicit representations are investigated. Several examples illustrate the techniques .

In this paper, stability analysis of walking gaits and robustness analysis are developed for a five-link and four-actuator biped robot. Stability conditions are derived by studying unactuated dynamics and using the Poincaré map associated with periodic walking gaits. A stable gait is designed by an optimization process satisfying physical constraints and stability conditions. Also, considering...

This paper develops an automatic parking algorithm based on a fuzzy logic controller with the vehicle pose for the input and the steering angle for the output. In this way some feasible reference trajectory path have been introduced according to geometric and kinematic constraints and nonholonomic constraints to simulate motion path of car. Also a novel method is used for parking space detec...

Optimal load of mobile robots, while carrying a load with predefined motion precision is an important consideration regarding their applications. In this paper a general formulation for finding maximum load carrying capacity of flexible joint mobile manipulators is presented. Meanwhile, overturning stability of the system and precision of the motion on the given end-effector trajectory are take...