Satellite formation reconstruction algorithm based on random model predictive control

Abstract

The invention discloses a satellite formation reconstruction algorithm based on stochastic model predictive control, and the algorithm mainly comprises the steps of converting a multi-satellite formation reconstruction problem into a single reference satellite-single surround satellite problem based on two-body hypothesis; determining an initial state and a target state by determining an initial configuration and a target configuration; reconstructing the formation model by using a model prediction control algorithm with disturbance feedback; and performing convex optimization reconstruction on the problem by using a distributed random model predictive control theory. According to the algorithm, the original problem can be converted into a computable convex optimization problem under the condition that only the external perturbation mean value and variance are known, and the system stability is ensured; a system can be allowed to balance between constraint and system performance within a certain range, so that the conservative property of a control system is greatly reduced, and the feasibility and stability of the algorithm are ensured. According to the present invention, the constraint is processed by using a slack variable and a precise penalty function method, so that the iteration feasibility of the algorithm is ensured.

Description

technical field [0001] The invention relates to the technical field of satellite formation, 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, interferometric imaging, multi-aperture radar and navigation and positioning technologies, the functions that satellites can achieve are becoming more and more powerful, and their applications are becoming more and more extensive. Technology has been rapidly developed 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 the function makes the structure of the traditional single large satellite complex, the quality increases, the risk increases, and the development cycle and cost also increase significantly. ...

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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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