The invention discloses a self-adaptive predefined time preset
performance control method for a piezoelectric micro-positioning platform, and the method comprises the steps: building a
mathematical model according to the characteristics of the piezoelectric micro-positioning platform; then, a preset
performance function is utilized to ensure that tracking errors are converged to any set set, and a constraint boundary adjustment mechanism is designed for the preset
performance function to solve the problem of control output singularity during input saturation; thirdly, calculating a virtual error, and constructing a
virtual control law, an auxiliary control law and a self-adaptive updating law in combination with a
backstepping technology, a
finite time sliding mode
differentiator, an RBFNN and a self-
adaptive method; finally, a performance controller is preset through the self-adaptive predefined time, the
Lyapunov stability theory and the practical predefined time
stability criterion are combined, appropriate design parameters are selected, and it is guaranteed that the closed-loop
system is stable within the predefined time, and the
tracking error is stabilized within the expected error range. The problems that in an existing control method, the
hysteresis model building process is complex, and convergence time is long are solved.