A Linear Feedback Gain Scheduling Control Method Based on Complex Mode

A gain scheduling control, linear feedback technology, used in mechanical oscillation control, control/regulation systems, non-electric variable control, etc.

Active Publication Date: 2021-02-12
NAT UNIV OF DEFENSE TECH
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  • Abstract
  • Description
  • Claims
  • Application Information

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Problems solved by technology

[0004] The purpose of the present invention is to propose a linear feedback gain scheduling control method based on complex modes, which solves the problem of controller design when the controlled object adopts complex mode representation

Method used

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  • A Linear Feedback Gain Scheduling Control Method Based on Complex Mode
  • A Linear Feedback Gain Scheduling Control Method Based on Complex Mode
  • A Linear Feedback Gain Scheduling Control Method Based on Complex Mode

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Embodiment Construction

[0013]The specific embodiments are described below in conjunction with the drawings.

[0014]The present invention mainly has three steps, such asfigure 1 As shown, the specific process is described in detail as follows:

[0015]S1: Establish the dynamic model of the controlled object, analyze and obtain the complex modal characteristics of the controlled object in the complex space;

[0016]Sub-step S11: establish a dynamic model of the controlled object;

[0017]The mathematical model of the controlled object is established based on the Hamiltonian principle, and the control equation is as follows

[0018]

[0019]In the formula, δ (N×1, N system degrees of freedom) is the system degree of freedom; M(N×N), K(N×N) are the mass and stiffness matrices, respectively, which are symmetrical matrices; C(N×N) is The sum of the damping matrix and the gyro matrix. When neglecting the damping matrix, the matrix C is antisymmetric. P(N×1) represents the gyro force vector, and F(N×1) represents the external loa...

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Abstract

The invention proposes a complex mode-based linear feedback gain scheduling control method. The method includes the following steps: S1, establishing a dynamic model of the controlled object, and obtaining complex modal characteristics of the controlled object; S2, using the modal truncation method to reduce the modal of the dynamic model, based on the linear Riccati equation Design a linear feedback controller in complex space; S3, consider the situation of controller saturation, design a gain-scheduled controller to maximize the performance of the controller while ensuring the stability of the closed-loop. The invention solves the problem of controller design when the controlled object adopts complex mode representation.

Description

Technical field[0001]The invention relates to the research field of vibration control, and specifically designs a linear feedback gain scheduling control method based on a complex mode.Background technique[0002]Vibration control is one of the common problems in many engineering branches, especially large flexible structures. When excited by internal or external loads, this type of system produces serious vibration problems, which affect the positioning accuracy, life, fatigue and safety of the system. Therefore, designing an effective controller is one of the important issues facing engineers. In recent decades, for the vibration control of flexible structures, scholars have conducted a lot of research and proposed a variety of control theories, such as direct speed control, strain feedback control, optimal control, sliding mode control (SMC), independent modal space control And robust control, etc.[0003]However, most current control theories are designed for systems that belong to ...

Claims

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): G05D19/02
Inventor 王杰李东旭
Owner NAT UNIV OF DEFENSE TECH
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