Research On Numerical Simulation Method Of Vehicle-Borne Optical Sighting System

In recent years,the development of vehicle-borne optical sighting system in our country has been deepening continuously.It is very important to develop the simulation technology of vehicle-borne optical sighting system to build a complete simulation system to meet the development needs of vehicle-borne optical detection system.Real-time simulation is an important kind of simulation in the field of industrial automation.In real-time simulation,the simulation clock and the actual clock need to be exactly the same,and the simulation speed of the model should be consistent with the actual system speed.In real-time simulation,the original continuous physical phenomena need to be approximated by discrete-time mathematical model,and also need to use a certain time-step numerical algorithm to solve the mathematical model describing the system.Vehicle-borne optical sighting system is a continuous dynamic system.Its dynamic characteristics can be transformed into the mathematical model of ordinary differential equation.In real-time simulation,in order to ensure that the dynamics of the model is consistent with the time,a stable numerical algorithm must be used to solve the ordinary differential equation describing the dynamic characteristics of the system.Firstly,starting from the establishment of coordinate system,the optical sighting system is analyzed,and the kinematic model of optical sighting system is established.Then the kinematic model is transformed into the initial value problem of ordinary differential equation,which provides a mathematical model for the numerical simulation of vehicle-borne optical sighting system.Then,aiming at the real-time simulation of vehicle-borne optical sighting system,the numerical methods of solving the system state equation in the simulation of such system is studied.An implicit second derivative linear multistep method based on Hermite interpolation is proposed.The construction,convergence,stability,order and local truncation error of the method are also discussed.According to the relationship between the local truncation error and the step size of the second derivative linear multistep method,a variable step size algorithm for solving ordinary differential equations is proposed.The algorithm has the advantages of fast calculation speed and high precision.Through the research of this kind of numerical algorithm,it provides theoretical basis and technical support for the development of real-time simulation of vehicle-borne optical sighting system.Finally,the virtual reality simulation system of two axis and three axis sighting devices is established by using VRML,and the algorithm program is compiled.The real-time simulation experiment of optical sighting system is carried out by using the fixed step algorithm and the variable step algorithm.The simulation results are compared with those of other numerical algorithms.The simulation results also show the validity and accuracy of the numerical method,and verify that the method has good theoretical value and practical application value.