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Impact angle,speed and acceleration control guidance via polynomial trajectory shaping
Institution:1. School of Aerospace Engineering, Beijing Institute of Technology, Beijing, China;2. Beijing Institute of Astronautical Systems Engineering, Beijing, China;1. Artificial Intelligence Energy Research Institute, Northeast Petroleum University, Daqing, 163318, China;2. Heilongjiang Provincial Key Laboratory of Networking and Intelligent Control, Northeast Petroleum University, Daqing, 163318, China;3. Sanya Offshore Oil & Gas Research Institute, Northeast Petroleum University, Sanya 572025, China;4. School of Petroleum Engineering, Northeast Petroleum University, Daqing, 163318, China;5. Key Laboratory of Enhanced Oil and Gas Recovery (Northeast Petroleum University), Ministry of Education, Daqing, 163318, China;6. School of Physics and Electronic Engineering, Northeast Petroleum University, Daqing, 163318, China;1. Jiangsu Collaborative Innovation Center of Atmospheric Environment and Equipment Technology (CICAEET), Nanjing University of Information Science and Technology, Nanjing, 210044, China;2. College of Automation, Chongqing University, Chongqing 400044, China;1. Instituto Universitario de Matemática Multidisciplinar, Universitat Politècnica de València, Camino de Vera s/n, Valencia, 46022, Spain;2. Department of Statistics and Operational Research, Universitat de València, Dr. Moliner 50, Burjassot, 46100, Spain;1. Engineering Research Center of Internet of Things Technology and Applications (Ministry of Education), Jiangnan University, Wuxi, Jiangsu 214122, China;2. Department of Electrical Engineering, Yeungnam University, Kyongsan, Republic of Korea;1. School of Astronautics, Northwestern Polytechnical University, Xi''an, 710072, China;2. National Key Laboratory of Aerospace Flight Dynamics, Northwestern Polytechnical University, Xi''an, 710072, China;1. School of Automation, Chongqing University, Chongqing 400044, China;2. State Key Laboratory of Power Transmission Equipment & System Security and New Technology, Chongqing University, Chongqing 400044, China
Abstract:An Impact Angle, Speed and Acceleration Control Guidance (IASAG) law against the stationary target is proposed, which is critical for the effectiveness of the air-to-surface guided weapons. It is hard to address multiple terminal constraints problem for unpowered missile, especially including terminal speed constraint, which is uncontrollable state. Based on Line-of-Sight (LOS) angle, a fourth-order polynomial function is designed to make the number of coefficients of the function equal to number of boundary conditions. Through analytic calculation and transformation, the relation between the specified boundary conditions and the coefficients are established. The coefficient equations are reduced to a univariate nonlinear equation whose solution is determined by terminal speed constraint. Based on the characteristic of the nonlinear equation, we propose a Particle Swarm Optimization(PSO) method to find the coefficient that satisfies terminal speed constraint. According to Lyapunov stability theory, an asymptotically stable trajectory tracking controller is designed to track the reference leading angle with respect to range-to-go to guarantee the impact angle, speed and acceleration constraints. The effectiveness of the proposed guidance law is verified through numerical simulations.
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