The trajectory planning, which is known as a movement from starting to end point by satisfying the constraints along the path is an essential part of robot motion planning. A common way to create trajectories is to deal with polynomials which have independent coefficients. This paper presents a trajectory formulation as well as a procedure to arrange the suitable trajectories for applications. Created trajectories aimed to be used for safe and smooth navigation in mobile robots. First, a trajectory problem is formulized by considering a border on the robot’s acceleration as the constraint. Also, initial and final conditions for the robot’s velocity along the straight path are settled. To investigate that suggested trajectories perform motions with continuous velocity and smooth acceleration, three trajectory problems are formulated using 3rd, 4th and 5th degree of polynomials. The high-degree polynomials are used because of providing of smoothness, but there is complexity in the calculation of additional coefficients. To reduce the complexity of finding the high-degree polynomial coefficients, the acceleration constraint is simplified and this process is based on a certain scenarios. Afterwards, the coefficients of the used polynomials are found by taking into account the acceleration constraint and velocity conditions. Additionally, to compare the obtained solutions through proposed scenarios, the polynomials` coefficients are solved numerically by Genetic Algorithm (GA). The computer simulation of motions shows that as well as acceleration constraint, the velocity conditions at the beginning and at the end of motion are fulfilled. Manuscript profile

Trajectories generally used to describe the space and time required to perform a desired motion task for a mobile robot or manipulator system. In this paper, we considered a cubic polynomial trajectory for the problem of moving a mobile robot from its initial position to a goal position in over a continuous set of time. Along the path, the robot requires to observe a certain acceleration profile. Then, we formulated an optimization approach to generate optimal trajectory profiles for the mobile robot in the cases of maximum-distance and minimum-time problems. The optimization problem presented to find the trajectory strategy that would give the robot time-distance optimality to move from a start point to an end point where the robot should stay inside its acceleration limits all the time. The problem solved analytically because as it is well known, numerical solutions and iterative methods are time-consuming, therefore, our closed-form solutions demand low computation time. Finally, the results are verified by simulations. Manuscript profile

Because of high speed, efficiency, robustness and flexibility of multi-agent systems, in recent years there has been an increasing interest in the art of these systems. In competitive multi agent systems, a mechanism is required via which the agents can come to reach an agreement. Contract net protocols are one of the well-known negotiation protocols in multi-agent systems. In contract net protocol, each agent can be a manager or a contractor. The managers announce available tasks and the contractors bid over the tasks. Then, the managers investigate received bids and decide which contractor could perform the task. The decision is made based on an eligibility function. In this paper, a multi robot foraging problem is considered where mobile robots with limited energy resource try to transport some moving objects to a collection point. The problem is modeled as a contract net system and then solved. Efficiency of the algorithm and optimality of solutions are investigated by provided examples and simulations. Manuscript profile