Design and implementation of linear controllers for the active control of reduced models of thin-walled structures

摘要

The main objectives of this work are twofold: 1.) to create reduced models of smart structures that are fully representative and 2.) to design different linear controllers and implement them into the active control of these reduced models. After a short introduction to the theory of piezoelectricity, the reduced model (super element model) is created starting from the finite element model. Damping properties are also calculated and added to the model. The relation between electrical and mechanical degrees of freedom (DOFs) is derived, so that only the mechanical DOFs are considered prior to the design of the controllers. Finally, three different linear controllers are designed and implemented in both the super element model and the state-space representation of the same smart structure. The effect of actuator placement is also studied through the implementation of the same controllers on another smart structure, and the results are compared.