A closed-form dynamic model of the planar multi-link flexible manipulator is presented. The assumed modes method used with Lagrangian formulation to obtain equations motion. Explicit motion are derived for a three-link case assuming two vibration each link. eigenvalue problem associated mass boundary conditions, which changes robot configuration and payload, discussed. time-domain simulation re...

Force control is very important for many practical manipulation tasks of robot manipulators, such as, assembly, grinding, deburring that associate with interaction between the end-effector of the robot and the environment. Force control of the robot manipulator can be break down into two categories: Position/Force Hybrid Control and Impedance Control. The former is focused on regulation of both...

Flexible-link robotic manipulators are mechanical devices whose control can be rather challenging, among other reasons because of their intrinsic under-actuated nature. This chapter presents various experimental studies of diverse robust control schemes for this kind of robotic arms. The proposed designs are based on several control strategies with well defined theoretical foundations whose eff...

The paper focuses on the problem of point-to-point trajectory planning for flexible redundant robot manipulators (FRM) in joint space. Compared with irredundant flexible manipulators, a FRM possesses additional possibilities during point-to-point trajectory planning due to its kinematics redundancy. A trajectory planning method to minimize vibration and/or executing time of a point-to-point mot...

The paper focuses on the problem of trajectory planning of flexible redundant robot manipulators (FRM) in joint space. Compared to irredundant flexible manipulators, FRMs present additional possibilities in trajectory planning due to their kinematics redundancy. A trajectory planning method to minimize vibration of FRMs is presented based on Genetic Algorithms (GAs). Kinematics redundancy is in...

Dynamics of multi-link manipulators with flexible links include complex high-order equations which make their control problem very challenging. This paper presents a new method for simultaneous motion and vibration control of a twolink flexible manipulator using H2/H∞ control. A multi-element finite element model of the manipulator is casted into the generalized plant model, and H2 and H∞ contr...