Study Of Experimental Model For Structural Nonlinear Vibration Based On State Feedback Method

The research of structural experimental model is significant for structural control algorithm and experiment. Usually most experiments of this type, especially for nonlinear behaviors, are destructive tests with high cost and it is hard to conduct the repetitive structural experiment. Therefore, it plays an important practical value to study the repetitive experimental model for structural vibration control. Based on state feedback method, the repetitive structural vibration control model is developed in this dissertation. The mainly research works are outlined as following:1. To solve the problem of the reusable control experiment model, an innovative control test model using two motors is proposed and designed. By designing appropriate tracking control algorithm to control the motor’s torque, the test model will track the structural responses of different structure parameters.2. Combined with the active control algorithm and state feedback idea, A Model Reference Adaptive Control (MRAC) method is designed and analyzed. Based on MRAC method, the model can realize arbitrary linear behaviors via state feedback and obtain the response of the expected structural model by minimizing the response error between the control model and the reference model under different external excitations. Therefore, different linear models can be achieved. The numerical simulation results show that this model with MRAC method can simulate the response of arbitrary linear behavior of any structures very well.3. Aimed at the difficulties of adjusting the adaptive parameters using MRAC method, a Sliding Model Control method is designed to simulate different structural responses through controlling the motor’s torque. Moreover, the bilinear hysteretic model and degrading Tri-linear hysteretic model of structural responses are realized through the numerical simulation. The results show that the designed Sliding Model Control algorithm can track different linear structural responses and realize different hysteresis model responses.4. Regarding the high frequency vibration problem of motor produced by the Sliding Model Control algorithm, a Backstepping control method is designed for tracking control model. The simulation demonstrates that the proposed model can achieve arbitrary responses of different linear models as well as hysteretic models. The shaking chattering problem of the control force given to the motor can be solved well. The simulation results show that the control method can achieve the desired tracking objective.5. A physical test model is established based on the designed control model using dSPACE semi-physical simulation control equipment. The test results verify the effectiveness of the proposed tracking control algorithm in this paper.