High performance robot manipulators, in terms of cycle time and accuracy, require well designed control methods, based on accurate dynamic models. Robot manipulators are traditionally described by the flexible joint model or the flexible link model. These models only consider elasticity in the rotational direction. When these models are used for control or simulation, the accuracy can be limite...

Dynamic equations of motion of flexible manipulators are more complicated than those of rigid manipulators. The number of equations of motion increases as the number of modes to be included increases. It is difficult to Ullderstand the effect of flexible motion on rigid motion via recursive forms of the equations of motion for multi-link arm even if it were efficient. On the other hand, the clo...

Flexible manipulators can be characterized by a dynamic model with a large number of vibration modes, and the use of the model in the model-based control schemes requires reduction of model order. Balanced truncation is an effective method for model reduction of asymptotically stable systems by transforming the states to a coordinate system in which the controllability and observability Gramian...

This paper presents a new systematic algorithm to symbolically derive the full nonlinear dynamic equations of motion of multi-link flexible manipulators. Lagrange's-Assumed modes method is the basis of the new algorithm and adapted in a way suitable for symbolic manipulation by digital computers. It is aaplied to model a two-link fleXIble arm via a commercially available symbolic manipulation p...

We present some feedback control techniques recently developed for the exact solution of t rajectory tracking problems for manipulators with flexible elements. Two classes are considered: i) robots with rigid links but with elastic transmissions, in which flexibility is concentrated at the joints, and ii) robots with lightweight and/or long arms, where flexibility is distributed along the links...

This paper presents a computationally efficient method for the modeling of robot manipulators with flexible links and joints. This approach combines the Discrete Time Transfer Matrix Method with the Finite Segment Method, in which the flexible links are discretized by a number of rigid segments connected by torsion springs; and the flexibility of joints are modeled by torsion springs. The propo...

Flexible-link manipulators have high demand in many industrial and space applications. This is simply because they have many advantages over the rigid manipulators such as light weight, fast response time and large payload capacity. Optimal trajectories for a two-link rigid-flexible manipulator based on trajectory tracking and obstacle avoidance criteria are designed using Generalized Pattern S...

This paper proposes a process to design an iterative learning control (ILC) to be applied to flexible joint robot manipulators which repeats identical tasks under the same operation conditions. The proposed ILC updates the desired trajectory not the feedback control signals in order to avoid potentially destabilizing embedded controllers of the robot manipulators. To guarantee the convergence o...

Coordinating two robot manipulators to handle flexible materials has a wide range of applications in the manufacturing industry. However, this problem has not been seriously addressed until recently. The two robot manipulators have to follow complicated trajectories to maintain a minimum interaction force with the flexible beam. These trajectories are very complicated and not suitable for real ...

In this paper, a mathematical model of flexible single link robotic manipulator that has a rotational base and translational motion has been developed using lagrangian method. The control strategies like PID, LQR and State feedback controller have been implemented for controlling the tip position of flexible single link robotic manipulators through MATLAB. State feedback controller uses pole pl...