The Position And Number Optimization Design Of Sensor And Actuator On Piezoelectricity Intelligence Cantilever Beam

At present, the active vibration control is a main research direction of large-scale flexible structure vibration control. One of its important questions is to determine the number and the position of sensors and actuators, by least numbers and best position to realize the control goal. Although the digital sensors and actuators may obtain more comprehensive information, and it is easier to achieve the control goal; excessively many sensors and actuators can increase the cost of the control-system's hardware and the weight of the overall system. It spends computer more time in the processing of sensor survey signal, control law design and control signal processing, but also possibly brings the whole control energy to increase, the sensor and the actuator breakdown opportunity increases, consequence and so on system reliability drop.This article take the piezoelectricity intelligence cantilever beam vibrating system as the object of study, using the piezoelectric effect of the piezoelectricity material, to analyze the mutual coupling relations between piezoelectricity pieces and the cantilever beam, and establish the piezoelectricity cantilever beam's mechanical and electrical coupling dynamics model and the equation of state upon closed-loop control system. Based on this, take the system smallest energy as the optimization objective function, it propose a kind of method by using the topology optimization principle and the genetic algorithm to design the optimum numbers and position of piezoelectricity pieces, and it provide the basis for the piezoelectricity intelligence cantilever beam's vibration control system's design.Finally, it confirms that this method is correct by an actual example.