The invention discloses a nano-scale displacement real-time compensation measurement method and
system based on double-frequency
laser interference, and belongs to the technical field of precision measurement. In order to solve the problems that three error sources of environmental drift, periodic nonlinear error and dynamic vibration are mutually coupled and have high real-time requirements in dual-frequency
laser interference measurement, a multi-source error unified
state space model including measured displacement, an air
refractive index parameter, a nonlinear error parameter and a vibration disturbance quantity is constructed. A high-dimensional
state vector is divided into a displacement-
refractive index group and a nonlinear parameter group by adopting an
extended Kalman filter of a grouping updating strategy, the displacement-
refractive index group and the nonlinear parameter group are alternately updated in an
assembly line parallel mode,
nonlinear parameters are identified in real time in combination with an online recursive least square
algorithm, and the state of the filter is corrected through a state
coupling injection mechanism. Real-time compensation with the end-to-end
delay smaller than 80 microseconds is achieved, the displacement measurement residual error is controlled within + / -0.3 nm under the composite disturbance condition, and the method is suitable for precise
assembly of intelligent glasses optical assemblies.