Design and Research on the Foul Detector of a Long Jump Jumping Line Based on a Vision Sensor

Long jump is one of the important events of modern track and field sports, and it is also one of the regular events of major events. Due to the complexity and technicality of the project, the determination of the results in a formal competition is also very complicated. It is easy for athletes to invalidate their results due to fouls by stepping on the jump line. Therefore, it is very necessary to detect fouls. This paper uses a visual sensor technology to design and develop a foul detector for the situation of athletes stepping on the jump line in a long jump, which can detect fouls well. In the formal competition process, because the long jump time is relatively short, the referee is interfered by many factors and it is easy to misread the movements of the athletes and cause misjudgment. Therefore, on this basis, in order to improve the fairness of the game and create a good competition environment, the design is designed. The long jump stepping line foul detector is studied, and the visual sensor technology is used, which can judge the long jump stepping fouls during the long jump based on the feedback data.

Extended Dissipative Control for Markovian Jump Time-Delayed Systems with Bounded Disturbances

In this work, the result of reachable set bounding and extended dissipative control synthesis of the Markovian jump time-delayed system is studied subject to stochastic actuator failures and partially known transition probabilities. Specifically, a novel actuator fault model is designed, in which the actuator fault matrix satisfies a certain probabilistic condition. Under the construction of an appropriate Lyapunov–Krasovskii functional (LKF), as well as reciprocal convex approach, Jensen’s integral inequality, and reachable set lemma, delay-dependent sufficient criteria are obtained in terms of linear matrix inequalities (LMIs) for finding an ellipsoid to bound the reachable sets of the Markovian jump time-delayed system with bounded disturbances. Finally, two numerical examples are provided to validate the effectiveness of the proposed strategy.