Non-linear differential calculus golden cut adaptive control method

Abstract

The invention relates to a nonlinear differential golden section self-adapting control method which comprises the following steps: (1) establishing a characteristic model in relation to the a single-input / single-output linear time varying system; (2) determining a nonlinear differential golden section self-adapting control law according to the characteristic mode; and (3) performing the stability analysis of the closed-loop system formed by applying the control law to the characteristic mode and determining the stability conditions of the closed-loop system. The method overcomes the disadvantages of the prior art, provides the characteristic model in relation to the linear time varying system, and achieves the effect of section self-adapting control method using the nonlinear differential golden. The self-adapting control method can track the fast-varying signal and the signal with mutation slope.

Description

technical field [0001] The invention relates to an adaptive control method, in particular to a nonlinear differential golden section adaptive control method based on a characteristic model. Background technique [0002] In order to design low-order controllers for high-order complex objects, the literature "Characteristic Modeling and Control of Flexible Structures" (Chinese Science Series E, 2001, 31(2): P137-149, Wu Hongxin, etc.) proposed for linear steady systems The method of feature modeling, that is, modeling in combination with the dynamic characteristics of the object and the control performance requirements. The literature pointed out that for the low-order eigenmodel of the high-order steady system, its parameters are slowly time-varying. When the sampling period satisfies certain conditions, for second-order objects whose parameters are unknown, linearly steady, or slowly varying, the literature "Application of the Golden Section in the Design of Adaptive Robust...

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Problems solved by technology

When the sampling period satisfies certain conditions, for second-order objects whose parameters are unknown, linearly steady, or slowly varying, the literature "Application of the Golden Section in the Design of Adaptive Robust Controllers" (Acta Automatica Sinica, 1992, 18(2): P177 -185, Xie Yongchun, Wu Hongxin) have proved that the linear golden section adaptive controller can ensure the stability and good transition characteristics of the control system during the starting process, but for different performance requirements in the dynamic process, the linear golden section adaptive control Therefore, the document "Nonlinear Golden Section Adaptive Control" (Acta Astronautics, 2002, 23(6): P1-8. Wu Hongxin, Wang Ying, Xie Yongchun) aimed at constant value tracking in the process of space rendezvous and docking problem, a golden section adaptive controller with a non-linear proportional coefficient is designed based on the characteristic model

When the tracking signal is not constant, the nonlinear ratio golden section controller in this paper cannot meet the requirements

Chinese patent 00132495.0, "A Golden Section Intelligent Control Method Based on Object Feature Model Description" introduces a feature model-based control method, the intelligent controller in this method also includes a linear golden section adaptive control law, and This method is complex and not suitable for tracking rapidly changing signals and signals with abrupt slopes

It should be pointed out that the characteristic modeling of all the above-mentioned literatures is aimed at the linear steady system. For the linear consolidation system, the characteristic modeling is much more complicated than that of the steady system

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