Abstract
A Mathematical Introduction to Robotic Manipulation presents a mathematical formulation of the kinematics, dynamics, and control of robot manipulators. It uses an elegant set of mathematical tools that emphasizes the geometry of robot motion and allows a large class of robotic manipulation problems to be analyzed within a unified framework. The foundation of the book is a derivation of robot kinematics using the product of the exponentials formula. The authors explore the kinematics of open-chain manipulators and multifingered robot hands, present an analysis of the dynamics and control of robot systems, discuss the specification and control of internal forces and internal motions, and address the implications of the nonholonomic nature of rolling contact are addressed, as well. The wealth of information, numerous examples, and exercises make A Mathematical Introduction to Robotic Manipulation valuable as both a reference for robotics researchers and a text for students in advanced robotics courses.
Keywords
Affiliated Institutions
Related Publications
Near-optimal nonholonomic motion planning for a system of coupled rigid bodies
How does a falling cat change her orientation in midair without violating angular momentum constraint? This has become an interesting problem to both control engineers and robot...
Fundamentals for Control of Robotic Manipulators
Robotic systems kinematics for manipulator joints, links and gripper inverse solution to kinematic equations angular/translational velocity and force/torque relations in joint a...
Dynamics and Stability in Coordination of Multiple Robotic Mechanisms
This paper discusses the dynamical coordination of multiple robot manipulators or a multifingered robot hand. The coor dination problem is divided into two phases: determining t...
Modeling and control of formations of nonholonomic mobile robots
This paper addresses the control of a team of nonholonomic mobile robots navigating in a terrain with obstacles while maintaining a desired formation and changing formations whe...
The Kinematics of Contact and Grasp
The kinematics of contact describe the motion of a point of contact over the surfaces of two contacting objects in response to a relative motion of these objects. Using concepts...
Publication Info
- Year
- 2017
- Type
- book
- Citations
- 6665
- Access
- Closed
External Links
Social Impact
Social media, news, blog, policy document mentions
Citation Metrics
Cite This
Identifiers
- DOI
- 10.1201/9781315136370