International Journal of Mathematics and Systems Science 2024, 7(8); https://doi.org/10.18686/ijmss.v7i8.8568

With the rapid development of robot technology, trajectory optimization has become an important research direction in the field of robot control. The aim of trajectory optimization is to find an optimal path that meets certain constraints to achieve efficient, safe and accurate robot movement. This paper first introduces the importance of trajectory optimization and its basic concepts, and then elaborates the main methods and technologies of trajectory optimization, including interpolation, search algorithm, optimization algorithm based on mathematical model, intelligent optimization algorithm and real-time trajectory optimization. Then, through the concrete case analysis and experimental verification, the effects and challenges of trajectory optimization in practical application are discussed. Finally, the practical application of trajectory optimization in robot control is demonstrated through case analysis, the research status and development trend of trajectory optimization are summarized, and the future research direction is prospected.