The invention discloses a model-free tracking control method for piezoelectric
ceramic actuators and a medium, relates to a
robust regression prediction, PI control and self-adaptive inverse-based combined tracking control method, and belongs to the technical field of follow-up control. According to the method, the sine and cosine functions of main orders in micro vibration are taken as primary functions,
robust regression is utilized to regress a reference
control signal, and a regression value is utilized to predict a practical
control signal so as to realize advanced control; the inner ringadopts PI control so as to realize preliminary smooth tracking, for the advanced
control signal, of a piezoelectric
ceramic; through calculating cross-correlation functions of the response of the piezoelectric
ceramic and the reference control
signal, an advanced quantity, for the reference control
signal, of the response is estimated to adjust the delayed
beat number of the pure
lag links in a controller, thereby realizing the synchronization of the response of the piezoelectric ceramic and the reference control
signal; and through calculating a
linear relationship, for the reference controlsignal, of the response, the
gain and zero offset of the controller are corrected by utilizing a correction coefficient, so that the amplitude tracking, for the reference control signal, of the response is realized.