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Robust non-fragile H-infinity structural vibration control method

A non-fragile and robust technology, applied in the field of robust non-fragile H∞ structural vibration control, can solve the problems that the performance index cannot reflect the engineering quality well, the complexity of the structural system, and few applications, so as to ensure stability and Effects of robustness, reduced complexity, and simple design

Active Publication Date: 2016-12-07
XIAN TECHNOLOGICAL UNIV
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  • Description
  • Claims
  • Application Information

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Problems solved by technology

Although H ∞ Control theory is relatively mature, but H ∞ The performance index cannot reflect the engineering quality well, and the complexity of the structural system synthesis makes the H ∞ Control methods are rarely used in structural vibration control engineering

Method used

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  • Robust non-fragile H-infinity structural vibration control method
  • Robust non-fragile H-infinity structural vibration control method
  • Robust non-fragile H-infinity structural vibration control method

Examples

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Embodiment

[0109] The specific implementation process of the embodiment of the present invention is as follows figure 1 As shown, the physical structure of the multi-layer eccentric structure-AMD (Active MassDamper) system is shown as figure 2 As shown, where M and S are the mass and stiffness center of the structure respectively, and the coordinate origin of the structure coordinate system is taken at the center of mass. A three-layer eccentric structure is taken as an example to verify the effectiveness of the proposed method.

[0110] Step 1: Obtaining the structural dynamics model The specific implementation steps are:

[0111] (1) The schematic diagram of the three-layer entity structure is as follows figure 2 shown, where figure 2 (a) is the façade, figure 2 (b) is the top plane. Depend on figure 2(b) It can be seen that one AMD is installed on the top layer in the x direction and y direction to apply the corresponding calculation control force to the main structure, and...

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Abstract

The invention discloses a robust non-fragile H-infinity structural vibration control method. The method comprises the steps that firstly, a structural dynamics model with a control device is built; 2, an amplitude with structural parameter uncertainty is estimated, and on the basis of the Lyapunov stability principle, on the premise that stability of a control system is ensured, an influence on the structural parameter uncertainty in the corrected structural dynamics model is determined; 3, on the basis of quadratic form optimal performance indexes, a linear matrix inequality for ensuring the stability of the control system is solved, the relatively-optimal robust non-fragile H-infinity control force is obtained and input to an actuator, and effective vibration control is achieved for the solid structure. The control system is simple in design, performance indexes are easy to balance, and the stability and robustness of the control system can be effectively ensured on the premise of the structural parameter uncertainty.

Description

technical field [0001] The invention belongs to the technical field of structural vibration control, in particular to a robust and non-fragile H ∞ Structural Vibration Control Methods. Background technique [0002] In recent years, with the rapid development of some intelligent actuators such as electric / magneto-rheological fluids, piezoelectric materials, electric / magnetostrictive materials, shape memory alloys, etc., the active control theory has been greatly developed. Furthermore, the structural Compared with passive control, active control has many advantages such as good control effect, high precision, and ability to effectively deal with external disturbances, and the active control method is the basis of semi-active and hybrid control methods, so it has great engineering application value. In the vibration control engineering of solid structures, structural parameters such as structure stiffness and damping are difficult to be accurately described by mathematical mo...

Claims

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Application Information

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IPC IPC(8): G05B13/04
CPCG05B13/042
Inventor 李志军王社良顾致平李高宏
Owner XIAN TECHNOLOGICAL UNIV
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