Online Optimization Method for Nonlinear Model-Predictive Control in Angular Tracking for MEMS Micromirror

Abstract

In this brief, a precise angular tracking control strategy using nonlinear predictive optimization control (POC) approach is address. In order to deal with the model uncertainty and noise interference, a online Hammerstein-model-based POC is designed using online estimated parameters and model residual. Above all, a rate-dependent Duhem model is used to describe the nonlinear sub-model of the whole Hammerstein architecture for depicting multi-valued mapping nonlinear characteristic. Then, predictive output of angular deflection is obtained by Diophantine function based on linear submodel. Subsequently, the iterative control value depends on estimated parameters through data-driven is acquired. Later, based on the cost function, the iteratively optimization control quantity is fed back to the electromagnetic driven deflection micromirror (EDDM) system on the basis of Hammerstein architecture. It should be stressed that the control value is determined by real-time update model residual and defined cost function. Moreover, the stability of POC strategy is proposed. In addition, experimental result is proposed to validate the effectiveness of the control technique adopted in this paper.

Beam Scanning and Capture of Micro Laser Communication Terminal Based on MEMS Micromirrors

“…In view of this, the expansion angle optical system for the MEMS micromirror is designed to increase the scanning angle. By adjusting the distance between the lens and the micromirror, the optical system expands or reduces the optical scanning range [ 16 ].…”

Design of an Electromagnetic Micro Mirror Driving System for LiDAR

“…The proposed sensing method carries the potential for high-precision and high-speed scanning control of MOEMS mirrors oscillating with several thousand hertz. An online Hammerstein-model-based predictive optimization control (POC) was designed by Cao [ 21 ] using online estimated parameters and model residuals to achieve high-precision angle positioning in a noisy environment, and its stability and effectiveness were verified. To improve the angular positioning accuracy, a piecewise PID control based on the filters’ design for this electromagnetic micro mirror was proposed by Sun [ 22 ].…”

Parameter Identification of Model for Piezoelectric Actuators

“…In recent years, piezoelectric actuators (PEAs) have attracted much attention due to their advantages, such as a large output force, compact size, high resolution, and quick response. They have a wide range of potential applications in the fields of micro-manipulation [ 1 ], micromechanical manufacturing [ 2 ], super-precision processing [ 3 ], adaptive optical compensation [ 4 , 5 , 6 ], and robotics [ 7 , 8 , 9 , 10 ]. However, piezoelectric ceramic materials have hysteretic nonlinear characteristics of multi-valued mapping and frequency dependence [ 11 ].…”

“…The dynamic linear section can represent the frequency-dependent characteristics of hysteresis. Reference [4] proposes an online parameter estimating method of the Hammerstein model, which uses the Duhem model to describe the static section and characteristics of hysteresis. Reference [4] proposes an online parameter estimating method of the Hammerstein model, which uses the Duhem model to describe the static section and the Diophantine function of the linear section to predict the output of the model.…”

“…Reference [4] proposes an online parameter estimating method of the Hammerstein model, which uses the Duhem model to describe the static section and characteristics of hysteresis. Reference [4] proposes an online parameter estimating method of the Hammerstein model, which uses the Duhem model to describe the static section and the Diophantine function of the linear section to predict the output of the model. Finally, the model parameters are identified online based on the real-time updated model's residual and cost function.…”