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Optimal control of a rigid spacecraft programmed motion without angular velocity measurements
Affiliation:1. School of Information and Electrical Engineering, Shandong Jianzhu University, Jinan 250101, PR China;2. School of Control Science and Engineering, Shandong University, Jinan 250061, PR China;1. College of Geophysics and Information Engineering, China University of Petroleum-Beijing, Beijing, 102249, China;2. School of Mathematic and Quantitative Economics, Shandong University of Finance and Economics, Jinan, 250014, China;1. Department of Computer Engineering, Shahed University, Tehran, Iran;2. Department of Computer Engineering, Sharif University of Technology, Tehran, Iran;1. Institute of Automation, Qufu Normal University, Qufu, Shandong Province 273165, PR China;2. School of Automation, Southeast University, Nanjing, Jiangsu Province
Abstract:
This paper considers the problem of optimal controlling a spacecraft programmed motion without its angular velocity measurements. An optimal control law that stabilizes this programmed motion and minimizes the cost that transfers the spacecraft from arbitrary initial state to the programmed state is obtained as a function of the kinematics attitude parameters and their estimates as well as the angle of programmed rotation. The stabilizing properties of the proposed controllers are proved using Liapunov techniques. Numerical simulation study is presented.
Keywords:
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