Control of Flexible Link Robot using a Closed Loop Input-Shaping Approach

This paper is has addressed the Single Flexible Link Robot. The dynamical model is derived using Euler-Lagrange equation and then a proper controller is designed to suppress a  vibration based-on Input-Shaping (IS) method. But, IS control method is an open loop strategy. Due to the weakness of open loop control systems, a closed loop IS control system is proposed. The achieved closed loop control system becomes an input delay system. To control this delay system, a robust linear state feedback with proper gain matrix is designed based-on an LMI method. Finally, the simulation results are illustrated to verify closed loop control system behavior.