A Satellite Formation Reconfiguration Algorithm Based on Stochastic Model Predictive Control

Abstract

The invention discloses a satellite formation reconfiguration algorithm based on stochastic model predictive control, which mainly includes converting the multi-satellite formation reconfiguration problem into a single reference star-single surrounding satellite problem based on the two-body assumption; by determining the initial configuration and The target configuration completes the determination of the initial state and the target state; the model predictive control algorithm with disturbance feedback is used to reconstruct the formation model; the distributed stochastic model predictive control theory is used to reconstruct the problem with convex optimization; the algorithm can only know In the case of external perturbation mean and variance, the original problem is transformed into a computable convex optimization problem, and the stability of the system is guaranteed. It can allow the system to trade off between satisfying constraints and system performance within a certain range, so that the conservatism of the control system is greatly reduced. The feasibility and stability of the algorithm are guaranteed. In this paper, slack variables and exact penalty function are used to deal with constraints to ensure the iterative feasibility of the algorithm.

Description

technical field [0001] The invention relates to the technical field of satellite formations, in particular to a satellite formation reconstruction algorithm based on stochastic model predictive control. Background technique [0002] At the end of the last century, with the development of electronic technology, automatic control, interference imaging, multi-aperture radar, navigation and positioning and other technologies, the functions that satellites can achieve are becoming more and more powerful, and their applications are becoming more and more extensive. Technology has developed rapidly through space technology. However, with the rapid development of aerospace industry technology, the requirements for satellites and their functions are getting higher and higher. The complexity of functions makes the structure of traditional single large satellite complex, the quality increases, the risk increases, and the development cycle and cost also increase significantly. It is a...

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Problems solved by technology

[0004] The current research has not conducted in-depth research on the part that cannot be modeled. In order to solve the above problems, the present invention provides a stochastic model predictive control algorithm with disturbance feedback under unbounded disturbances, which provides a solution for dealing with unbounded disturbances that cannot be modeled in satellite formations. It provides theoretical support and makes satellite formation reconstruction modeling closer to the real situation

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