Research on Particle Swarm Compensation Method for Subdivision Error Optimization of Photoelectric Encoder Based on
Han Hou1, Guohua Cao1,2, Hongchang Ding1,2
1Mechanical Engineering Faculty, Changchun University of Science and Technology, Changchun 130022, China.
Sensors (Basel, Switzerland)
|June 24, 2022
Summary
A novel particle swarm optimization model enhances photoelectric encoder accuracy by reducing grating subdivision errors. This method improves convergence speed and system precision for high-precision industrial and aerospace measurements.
Area of Science:
- Measurement Science
- Optical Metrology
- Control Systems Engineering
Background:
- Photoelectric encoders are crucial for high-precision measurements in industry and aerospace.
- Subdivision accuracy of moiré grating signals is a key challenge.
- Existing methods may lack efficiency in error compensation.
Purpose of the Study:
- To propose a particle swarm optimization (PSO) compensation model for photoelectric encoder subdivision errors.
- To enhance the subdivision accuracy of moiré grating signals.
- To improve the convergence speed and system accuracy of PSO algorithms.
Main Methods:
- Developed an adaptive subdivision method for PSO search domains using a honeycomb structure.
- Established a grating signal subdivision error compensation model using a multi-swarm PSO algorithm with parallel iteration.
- Utilized FPGA pipeline architecture for high-speed parallel processing to correct sinusoidal errors.
Main Results:
- The proposed PSO algorithm improved convergence speed and system accuracy compared to traditional PSO.
- Experimental verification on a 25-bit photoelectric encoder demonstrated significant error reduction.
- Dynamic subdivision error was reduced by 50%, and static subdivision error decreased from 1.264″ to 0.487″.
Conclusions:
- The parallel iteration-based multi-swarm PSO model effectively compensates for photoelectric encoder subdivision errors.
- The method significantly enhances measurement accuracy in high-precision applications.
- FPGA implementation enables efficient real-time error correction.
Related Concept Videos
Parallel Processing
220
The brain processes sensory information rapidly due to parallel processing, which involves sending data across multiple neural pathways at the same time. This method allows the brain to manage various sensory qualities, such as shapes, colors, movements, and locations, all concurrently. For instance, when observing a forest landscape, the brain simultaneously processes the movement of leaves, the shapes of trees, the depth between them, and the various shades of green. This enables a quick and...
220
PI Controller: Design
470
Proportional Integral (PI) controllers are a fundamental component in modern control systems, widely used to enhance performance and mitigate steady-state errors. They are particularly effective in applications such as automatic brightness adjustment on smartphones, where they excel at mitigating steady-state errors for step-function inputs. Unlike PD controllers, which require time-varying errors to function optimally, PI controllers leverage their integral component to address residual...
470
Linear Approximation in Time Domain
123
Nonlinear systems often require sophisticated approaches for accurate modeling and analysis, with state-space representation being particularly effective. This method is especially useful for systems where variables and parameters vary with time or operating conditions, such as in a simple pendulum or a translational mechanical system with nonlinear springs.
For a simple pendulum with a mass evenly distributed along its length and the center of mass located at half the pendulum's length,...
For a simple pendulum with a mass evenly distributed along its length and the center of mass located at half the pendulum's length,...
123
Propagation of Uncertainty from Random Error
1.1K
An experiment often consists of more than a single step. In this case, measurements at each step give rise to uncertainty. Because the measurements occur in successive steps, the uncertainty in one step necessarily contributes to that in the subsequent step. As we perform statistical analysis on these types of experiments, we must learn to account for the propagation of uncertainty from one step to the next. The propagation of uncertainty depends on the type of arithmetic operation performed on...
1.1K
Time-Domain Interpretation of PD Control
177
Proportional-Derivative (PD) control is a widely used control method in various engineering systems to enhance stability and performance. In a system with only proportional control, common issues include high maximum overshoot and oscillation, observed in both the error signal and its rate of change. This behavior can be divided into three distinct phases: initial overshoot, subsequent undershoot, and gradual stabilization.
Consider the example of control of motor torque. Initially, a positive...
Consider the example of control of motor torque. Initially, a positive...
177
Principle of Linear Impulse and Momentum for a Single Particle: Problem Solving
468
Consider a wooden box and a cylinder of known masses m1 and m2, respectively, hanging from a ceiling with the help of a massless pulley system.
468


