Integrated control of deformation and vibration for plate under time-varying inertia force field

For plate structures undergoing time-varying motion, deformation and vibration occur simultaneously due to the inertia force induced by accelerations. The difference in deformation magnitude and vibration amplitude significantly affects the accuracy and safety of the structures. Traditional control methods cannot suppress deformation and vibration synchronously, therefore, an integrated active control strategy has been developed to address this issue. The dynamic equation for the plate partially covered with Macro Fiber Composite (MFC) actuators is established. The system presents strong nonlinearity because four coupling factors are involved, such as rigid body motion coupling, deformation coupling, rigid body motion and deformation coupling, as well as electro-mechanical coupling. To simultaneously mitigate deformation and vibration, the Sliding Mode Control (SMC) algorithm is optimized using the Particle Swarm Optimization (PSO) algorithm, enabling integrated active control for the plate subjected to time-varying inertia forces. The effectiveness of the developed PSO-SMC algorithm is validated by simulations.