Control Parametrization Enhancing Technique and Simulation on the Design of a Flexible Rotating Beam

In this paper, a computational approach is adopted to solve the optimal control and optimal parameter selection problems of a rotating flexible beam fully covered with active constrained layer damping (ACLD) treatment. The beam rotates in a vertical plane under gravity with variable angular velocity and carries an end mass. The problem is posed as a continuous-time optimal control problem and solved via MISER3. Using the control parametrization enhancing technique (CPET), the results show that substantial improvements are obtained with ACLD as compared to the passive constrained layer damping (PCLD) treatment. In addition, accurate switching times of the system are determined. A parametric analysis is also included through simulation results.