New Strategy to Approach the Inverse Kinematics Model for Manipulators with Rotational Joints

The chapter describes a new strategy to approach the solution of the inverse kinematics problem for robot manipulators. A method to determine a polynomial model approximation for the joints positions is described by applying the divided differences with a new point of view for lineal path in the end-effector of the robot manipulator. Results of the mathematical approach are analysed by obtaining the kinematics inverse model and the approximate model for lineal trajectories of a manipulator for three degrees of freedom. Finally, future research approaches are commented

Positioning of a 3-degrees-of-freedom robot with pneumatic actuators

Interest in the use of pneumatic actuators has become increasingly significant, especially because of the potential benefits of employing clean energies. There are previous works related to this project; some made abroad that innovates in control methods but only in specific applications, and others in Mexico that progressively increase the complexity of the system. In this paper the difficulty of a generic threedegrees-of-freedom (DoF) robot arm control is tested, searching for the most efficient method to reproduce the positioning of the final effector (a griper) accurately. Furthermore, the ambitious goal of the project is to adequately develop an algorithm capable of being properly adjusted to any multipurpose robot system with pneumatic actuators. It is carefully considered the various non-linearities of the system. This work relied mostly on intelligent control techniques and modern programmable devices, the intention is to achieve similar or better results than previous projects. The possible combination of intelligent and even classical control can reasonably achieve the estimated conclusion, the first being flexible for developing robust design for non-linear systems

A 3D Sensor Based on a Profilometrical Approach

An improved method which considers the use of Fourier and wavelet transform based analysis to infer and extract 3D information from an object by fringe projection on it is presented. This method requires a single image which contains a sinusoidal white light fringe pattern projected on it, and this pattern has a known spatial frequency and its information is used to avoid any discontinuities in the fringes with high frequency. Several computer simulations and experiments have been carried out to verify the analysis. The comparison between numerical simulations and experiments has proved the validity of this proposed method

Robot Control

This book includes a selection of research papers in robot control applications. The description of projects using robotic systems in areas such as vision, navigation, path planning, trajectories, non-holonomic systems, mobile robotics, robot control with very specific structures, as well as artificial intelligence systems is pointed out. It also presents several tools and mathematical concepts that allow the development and operation of robotic systems. Additionally, the development of different ideas in control systems that are useful and hopefully enriching for the reader are also presented in this book

Kinematics

The present work contains a selection of research that is focused on the development of the kinematics; in this way, we can find the evolution of the kinematics in recent years, like applications in navigation systems, parallel robots, manipulators, and mobile robots. This work also includes new methods for the analysis in different applications, which are important in the proposal of new paradigms. Modeling is presented in applications oriented to a better understanding of biosystems; on the other hand, we also have applications of intelligent systems that enrich and complement the analysis of movement and position. Definitely, we hope that the present research work enriches and contributes with ideas and elements of interest for each of our readers