Abstract
In our previous studies, high accurate periodic solutions of semi-active vibration control systems using piezoelectric actuators are obtained by shooting method which is a numerical method for periodic analysis of nonlinear systems. The obtained results show bifurcations of solutions and the following phenomenon is observed in many solutions after the bifurcations. In these solutions, voltage inversion processes in very short periods are often interrupted by switching operation controlled by state feedback laws. However, realistic systems have delay of sensor outputs and such interruptions may be unrealistic phenomenon. In this study, a first order delay element is introduced into a model of the semi-active control systems as a simple model of sensor delay and periodic responses of the model with the sensor delay are obtained by shooting method. The obtained responses show that interruptions of voltage inversion processes are observed in a case with small delay as well as in cases without delay, whereas interruptions of voltage inversion processes are replaced by repetitions of them in a case with large delay.
