Abstract
Traditional function algorithms are contradictory to accuracy and performance. Therefore, taking into account the balance of accuracy and performance, the research of accuracy control‐oriented mathematical function algorithms is of great significance to the design of high‐precision and high‐performance mathematical function algorithms. This paper is aimed at the design of mathematical function algorithm for precision control and has conducted indepth research on traditional PID control algorithm and fuzzy logic control theory. By analyzing the advantages and disadvantages of the two in practical applications, a parameter fuzzy cascade PID control is designed. The algorithm and its performance simulation and comparative analysis provide a theoretical basis for the follow‐up accuracy control algorithm research and realization process. The accuracy control algorithm is then used to calculate and statistically analyze the sports performance including speed, strength (comprehensiveness and explosiveness), endurance, sensitivity, and coordination. The results show that the optimized function random point (nonextreme) test calculation accuracy is 99.5%, and the control accuracy improvement rate of the parameter fuzzy cascade PID control algorithm is about 18.24%. It has better control effect, stronger stability, and higher control accuracy. In the test of extreme points, the optimized test results are obviously better than those before optimization, which can effectively calculate sports results with high accuracy.
Highlights
With the ever increasing application needs of human beings, precision has become an inevitable requirement for the development of floating point operations
The proportional term, integral term, and derivative term in the PID control algorithm can be flexibly combined according to the needs of the system, and these three calculation links have different control functions [12]
With the continuous growth of application requirements, ultra-high-precision control operations have become an inevitable trend in the development of precision calculations
Summary
With the ever increasing application needs of human beings, precision has become an inevitable requirement for the development of floating point operations. Maebashi et al proposed a method for high-precision sensorless force control of positioning devices for contact operations. Coyne et al studied the correlation between acute TL, chronic TL, and ACWR as coupled/uncoupled changes These variables were compared using rolling averages and exponentially weighted moving averages to illustrate any potential advantages of one calculation method over another. The innovation of this paper is to design a mathematical function algorithm for precise control, analyze the calculation and statistical results of sports performance through the algorithm, conduct a detailed study on the traditional PID control algorithm and fuzzy logic control theory, and analyze the advantages and disadvantages of both. PID fuzzy waterfall parameter control algorithm designs and runs performance simulation and benchmark test. This provides a theoretical basis for the process of research and realization of precision control algorithms
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