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An Adaptive Control Method for On-line Fast Solving Algorithm

An adaptive control and algorithm technology, applied in the direction of adaptive control, general control system, control/regulation system, etc., can solve the problem that the optimal linear quadratic regulator cannot be applied online, and the Riccati matrix algebraic equation cannot be realized online. Solve problems, etc., to achieve the effect of improving rapid adaptability, good generalization, and wide application range

Active Publication Date: 2022-05-27
BEIJING AEROSPACE AUTOMATIC CONTROL RES INST
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Problems solved by technology

[0005] In view of the above-mentioned defects, the technical problem solved by the present invention is to provide an adaptive control method for an online fast solution algorithm, so as to solve the problem that the current technology cannot realize the online solution of the Riccati matrix algebraic equation, resulting in the optimal linear quadratic The problem that the regulator cannot be applied online

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[0044] The technical solutions in the embodiments of the present invention will be clearly and completely described below with reference to the accompanying drawings in the embodiments of the present invention. Obviously, the described embodiments are only a part of the embodiments of the present invention, rather than all the embodiments. Based on the embodiments of the present invention, all other embodiments obtained by those of ordinary skill in the art without creative efforts shall fall within the protection scope of the present invention.

[0045] Please also refer to Figure 1 to Figure 6 , a specific implementation of an adaptive control method for an online fast solution algorithm provided by the present invention will now be described. The LQR problem can be described as: for a certain type of linear system Find the optimal feedback matrix K * , so that the form The quadratic performance metric shown is minimized, where x ∈ R n is the system state vector, A∈R ...

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Abstract

The invention discloses an adaptive control method for an online fast solution algorithm, and provides an online fast solution method for Riccati algebraic matrix equations, which meets the requirements of real-time control and accuracy of solution. For a linear system with fast time-varying or sudden change, using the optimal LQR controller that adaptively adjusts in real time according to system parameter changes can improve the control system's ability to quickly adapt to changes in object parameters and ensure that it has global optimality. To achieve the purpose of optimizing the performance of the control system. The self-adaptive control method of the online fast solution algorithm provided by the present invention can be used in the design process of an aircraft-like attitude control system, and can also be applied to the research where the online solution of Riccati matrix algebraic equations is required. In-depth application in engineering provides theoretical support and guidance. The invention has better promotion and wide application range.

Description

technical field [0001] The invention relates to the technical field of guidance and control of space vehicles, in particular to an adaptive control method for an online fast solution algorithm. Background technique [0002] On the basis of studying the equation of state, controllability and observability of linear systems, and taking the guidance of space vehicles as the background, American scholar Kalman proposed a linear quadratic index function, and obtained an easy-to-solve linear optimal state feedback controller. That is, the linear quadratic regular (LQR) problem. The design of this controller boils down to solving nonlinear Riccati matrix differential or algebraic equations. The LQR controller enables the linear control system to have the best comprehensive performance, including state convergence and control consumption, and is easy to implement. It has been widely used in engineering practice. [0003] In practical engineering, for offline design, the algebraic ...

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): G05B13/02
CPCG05B13/024
Inventor 刘晓东张惠平张玉张义捷杜立夫禹春梅马卫华柳嘉润吴建武高博余跃李依彤
Owner BEIJING AEROSPACE AUTOMATIC CONTROL RES INST
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