Optimization Algorithm Based Path Planning and Speed Improvement Problems

This paper simulates and optimises the movement process of the traditional folk cultural activity ‘bench dragon’ by means of a mathematical model to optimise its path and speed. Firstly, a pitch optimisation model is constructed in this paper. The constraint is that no collision occurs between the dragon handle and the bench in the process of reaching the boundary of the turnaround space. A bifurcated search algorithm is used to simulate by continuously adjusting the pitch, and the minimum pitch is finally obtained. Then, this paper constructs an optimisation model for solving the minimisation of the length of the turnaround curve. We need to determine the disc entry point and select the easily available disc exit point on the screw line that meets the requirements, use the geometric relationship to establish a system of equations about the quadratic equation, and use the solve function in MATLAB to solve the problem, and finally get the shortest arc length. Finally, a dynamic speed optimisation model is developed in this paper. Taking maximising the travelling speed of the faucet as the optimisation objective, keeping the travelling speed of the faucet unchanged, and choosing the dichotomous search algorithm, the speed of the faucet is calculated through iteration to get the maximum travelling speed of the faucet that satisfies all the constraints.