The Shuttle's two-dimensional entry trajectory planning method is extended to threedimensions. Both angle of attack and angle of bank variations are used to control the entry trajectory. The trajectory planning is done with a third-order system of di erential equations using the drag and lateral accelerations as intermediate controls. The reducedorder planning problem is solved as an optimal co...

The tethered space robot (TSR) is a new concept of space robot which consists of a robot platform, space tether and operation robot. This paper presents a multi-objective optimal trajectory planning and a coordinated tracking control scheme for TSR based on velocity impulse in the approaching phase. Both total velocity impulse and flight time are included in this optimization. The non-dominated...

This paper presents a method for motion planning in dynamic environments, subject to robot dynamics and ac-tuator constraints. The time optimal trajectory is computed by rst generating an initial guess using the concept of velocity obstacle. The initial guess, computed by a global search over a tree of avoidance maneuvers, is then optimized using a dynamic optimization. This method is applicabl...

This paper introduces a closed-loop Guidance and Control optimal algorithm that balances the propellant consumption and the need for collision avoidance among formation ‡ying spacecraft. This model-based algorithm is purely algebraic and computes the spacecraft trajectories from the knowledge of the formation linearized relative dynamics equations and the formation full state. Using Pontryagin’...

In this paper, some of the relationships between optimal control and trajectory planning are examined. When planning trajectories for linear control systems, a demand that arises naturally in air tra$c control or noise contaminated data interpolation is that the curve passes close to given points, or through intervals, at given times. In this paper, we produce these curves by solving an optimal...

An analysis of the results of an algorithm for optimal trajectory planning of robot manipulators is described in this paper. The objective function to be minimized is a weighted sum of the integral squared jerk and the execution time. Two possible primitives for building the trajectory are considered: cubic splines or fifth-order B-splines. The proposed technique allows to set constraints on th...

We consider the problem of generating an optimal aircraft reference trajectory in a horizontal plane, where the objective is to minimize exposure to a spatiotemporally varying scalar field. We consider a special case, where this field is timeinvariant, and we discuss optimal trajectory generation for an aircraft kinematic model based on firstand second-order necessary conditions of optimal cont...

| This paper addresses trajectory planning in a dynamic workspace, i.e. motion planning for a robot subject to dynamic constraints and moving in a workspace with moving obstacles. First is introduced the novel concept of state-time space, i.e. the state space of the robot augmented of the time dimension. Like connguration space which is a tool to formulate path planning problems, state-time spa...

In this paper, a trajectory planning method of a mobile manipulator is presented. We derive the dynamics of the mobile manipulator considering it as the combined system of the manipulator and the mobile platform. The planning problem is formulated as an optimal control problem. To solve the problem, we use the concept of the order of priority. A gradient-based iterative algorithm which synthesi...