This paper is based on the theory of sliding mode control, proposing a cooperative guidance law considering target maneuver and impact angle constraints in a three-dimensional environment. Initially, a cooperative interception guidance dynamic model with target acceleration is established. Subsequently, to address the issue of estimating the maneuvering target acceleration, an adaptive second-order sliding mode observer is proposed, which autonomously adjusts design parameters based on estimation errors and provides real-time compensation in the acceleration command. Furthermore, on the normal direction of the line of sight (LOS) and the LOS direction, a cooperative guidance law, which is based on a novel consistency protocol and terminal sliding mode guidance law are introduced to achieve simultaneous saturation attack on the target, ensuring finite-time con-vergence of the LOS angular rate. The finite-time stability of the designed guidance law is demonstrated through Lyapunov theory. Finally, the effectiveness of the proposed guidance law is verified through numerical simulations.
For the double theodolites measurement system baseline as the benchmark of the scale of the measurement system and affect the accuracy of the system, this paper puts forward a method for calibration and optimization of the double theodolites baseline. Using double theodolites to measure the known length of the reference ruler, and then reverse the baseline formula. Based on the error propagation law, the analyses show that the baseline error function is an important index to measure the accuracy of the system, and the reference ruler position, posture and so on have an impact on the baseline error. The optimization model is established and the baseline error function is used as the objective function, and optimizes the position and posture of the reference ruler. The simulation results show that the height of the reference ruler has no effect on the baseline error; the posture is not uniform; when the reference ruler is placed at x=500mm and y=1000mm in the measurement space, the baseline error is the smallest. The experimental results show that the experimental results are consistent with the theoretical analyses in the measurement space. In this paper, based on the study of the placement of the reference ruler, for improving the accuracy of the double theodolites measurement system has a reference value.
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