Uncertainty system PID controller design method based on time-varying reliability

A technique of uncertainty, design methods, applied in the direction of controllers with specific characteristics, electric controllers, etc.

Active Publication Date: 2020-06-30
BEIHANG UNIV
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  • Summary
  • Abstract
  • Description
  • Claims
  • Application Information

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Problems solved by technology

The above reliability analysis is based on the time-independent model, but some uncertain parameters in actual engineering are time-dependent, and the time effect in reliability analysis cannot be ignored

Method used

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  • Uncertainty system PID controller design method based on time-varying reliability
  • Uncertainty system PID controller design method based on time-varying reliability
  • Uncertainty system PID controller design method based on time-varying reliability

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Embodiment 1

[0165] Such as Figure 4 As shown, the 10-DOF mass-spring-damper system only has the translational DOF ux in the horizontal direction, the mass of each mass m=1kg, the spring stiffness k=1000N / m, and the damping c=5N / ms -1 . Applied on the proof mass 10 Figure 5 (a) shows a horizontal pulse load f(t) with an amplitude of 10kN, and a control force u(t) is exerted on the mass block 7 . Both the mass m and the stiffness k have 5% uncertainty, and the horizontal displacement response of the mass 10 is assumed to be x(t).

[0166] system at t 0 = The open-loop response after 1.3s is as follows Figure 5 As shown in (b), the displacement design requirement of mass block 7 is at t 0 After = 1.3s, the absolute value of the displacement does not exceed x cr = 0.02m. In order to compare the controller design based on time-varying reliability with the traditional H ∞ Robust controller design, consider the following three situations for controller design:

[0167] (1) The time-v...

Embodiment 2

[0181] Such as Figure 6 Shown is the solar panel structure in the actual project, and the four panels are all parallel to the xy plane. Among them, plates 1, 2, and 3 have been connected together, and the translation degrees of freedom in three directions are constrained on one side. Plate No. 4 is docked with Plate No. 2 along the z direction, and Plate No. 2 is subjected to disturbance loads such as Figure 7(a) shown. The sensor and actuator layout of the controller is arranged on the edge of the No. 2 board. The Rayleigh damping of the system is a definite value, but there are uncertainties in the density and stiffness. The design requirement is the z-direction displacement z(t) of the observation point at t 0 = No more than z after 1s cr = 1.5m and the time-varying reliability is not less than 0.95, that is Considering the symmetry of the structure and the controller, the PID parameters of the two controllers are the same, so in fact only need to design a set of K...

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Abstract

The invention discloses an uncertainty system PID controller design method based on time-varying reliability. According to the method, for an uncertain variable PID closed-loop control system, a PID controller with the minimum control force index is designed by calculating a closed-loop response interval and time-varying reliability and taking the time-varying reliability as a constraint. According to the method, interval description is carried out on uncertain variables, a response interval is calculated in combination with a point collocation technology, and time-varying reliability is calculated in combination with a first crossing theory. And finally, the PID controller with the minimum control force index is designed by taking the time-varying reliability as the constraint.

Description

technical field [0001] The invention relates to the technical field of vibration control and reliability evaluation, in particular to a design method of a PID controller for an uncertainty system based on time-varying reliability. Background technique [0002] In practical engineering, vibration control is an important issue. Excessive vibrations in real structures can cause problems such as noise, performance degradation, and even structural failure. The traditional vibration reduction method is passive vibration reduction, that is, reducing vibration by adding vibration-absorbing materials and sound-absorbing materials, which will undoubtedly increase the weight of the structure; on the other hand, passive vibration reduction is not ideal for suppressing low-frequency vibrations. Another vibration reduction method is active vibration reduction. Sensors and drivers are arranged on the structure, and secondary vibrations are generated by control forces to offset the origina...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G05B11/42
CPCG05B11/42
Inventor 王磊刘嘉祥王晓军李云龙
Owner BEIHANG UNIV
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