Simple Boundary Cooperative Control of Two One-Link Flexible Arms for Grasping

This paper considers a grasping task by means of two one-link flexible arms. To accomplish this task, we propose a simple boundary cooperative control based on a dynamic model, which consists of partial differential equations (PDEs) and ordinary differential equations (ODEs) subject to geometric constraints. Since the data which is needed for the implementation of the controller can be obtained by a strain gauge and a rotary encoder, it is easy to implement it. The asymptotic stability of a closed-loop system and the exponential stability of the system under some conditions are studied.