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Nonlinear optimal control with disturbance rejection for asteroid landing
Authors:Shen Kang  Jianan Wang  Chaoyong Li  Jiayuan Shan
Institution:1. School of Aerospace Engineering, Beijing Institute of Technology, Beijing 100081, China;2. Key Laboratory of Flight Vehicles Dynamics and Control, Ministry of Education, China;3. School of Electrical Engineering, Zhejiang University, Hangzhou, Zhejiang 310027, China
Abstract:This paper presents an optimal solution to asteroid soft landing problem, on the base of θ?D control technique and disturbance rejection mechanism. The control objective is to drive a probe to reach the surface of an asteroid with a desirable line-of-sight angle and zero velocity, eliminating the influence of external disturbance. Firstly, elementary θ?D technique is applied in the absence of disturbance to tackle the nonlinear optimal control problem. Secondly, the disturbance is estimated in the fast-estimation framework with explicitly bounded estimation error. Afterwards, an integrated control protocol is presented in a feed-forward structure by the aid of an additional variable-structure term to ensure stability under time-varying disturbance. Simulation results of the proposed approach compared with the results of elementary θ?D method and robust θ?D method are presented at the end of this paper, demonstrating the effectiveness of the proposed control protocol.
Keywords:Corresponding author at: School of Aerospace Engineering  Beijing Institute of Technology  Beijing 100081  China  
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