CN106909761A - The frequency domain performance chart method of designed phase anticipatory control link - Google Patents

The frequency domain performance chart method of designed phase anticipatory control link Download PDF

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Publication number
CN106909761A
CN106909761A CN201710234971.6A CN201710234971A CN106909761A CN 106909761 A CN106909761 A CN 106909761A CN 201710234971 A CN201710234971 A CN 201710234971A CN 106909761 A CN106909761 A CN 106909761A
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control
performance
link
parameter
frequency domain
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王冰
高永亮
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North China Institute of Aerospace Engineering
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North China Institute of Aerospace Engineering
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    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F30/00Computer-aided design [CAD]
    • G06F30/10Geometric CAD
    • G06F30/17Mechanical parametric or variational design

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  • Engineering & Computer Science (AREA)
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  • General Physics & Mathematics (AREA)
  • Pure & Applied Mathematics (AREA)
  • Mathematical Optimization (AREA)
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  • General Engineering & Computer Science (AREA)
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Abstract

A kind of frequency domain performance chart method of designed phase anticipatory control link, it is characterized in that being respectively coordinate in length and breadth with two control parameters of phase anticipatory control link, sets up a two-dimensional parameter design space for bounded;With frequency domain Control performance standard as object function, two control parameters with phase anticipatory control link draw the isopleth of each Control performance standard as design variable in parameter designing space, obtain the control performance curve map of system;Control performance curve map presents the one-to-one relationship between Control performance standard and correction link parameter;Coordinate and contrast each performance chart, can obtain the comprehensively optimal correction link parameter of control performance, complete the optimized design of correction link.The present invention have directly perceived, system and it is comprehensive the characteristics of.

Description

The frequency domain performance chart method of designed phase anticipatory control link
Technical field:
The invention belongs to mechanical engineering control field, more particularly to a kind of frequency domain performance of designed phase anticipatory control link Curve map method.
Background technology:
As controlled mechanical system control performance (stability, accuracy and rapidity) be unsatisfactory for require, then can by The method for increasing correction link in system, to improve the control performance of controlled mechanical system.Phase anticipatory control is conventional school One of correction method.
In mechanical engineering control field, the most commonly used method of designed phase anticipatory control link is to be carried out using Bode diagram The Frequency Domain Design Method of design.The method is general with phase margin as performance indications, is determined by analytical Calculation by Bode diagram Correction link parameter.The method meets given phase margin requirement, is feasible solution, but be not optimal solution.In addition, to system control The frequency domain performance indications of performance evaluation processed are not only phase margin, also shearing frequency, cut-off frequency, resonance peak, amplitude Nargin etc.;Need checking computations other performance index whether also to meet on the basis of Preliminary design to require, be such as unsatisfactory for, it is necessary to repeatedly Design repeatedly and check, be to cumbersome and time-consuming until meeting all properties index request.
It is conflicting because the performance to control system has between many requirements, multiple Control performance standards;Correction Influence of the link parameter to system control performance is also conflicting.Therefore, the parameter designing of correction link be one very Important and extremely difficult problem.
The content of the invention:
The present invention is directed to deficiency of the prior art, proposes a kind of frequency domain performance curve of designed phase anticipatory control link Figure method, its have intuitively, system and it is comprehensive the characteristics of.
The present invention solves the scheme that is used of its technical problem:A kind of frequency domain performance of designed phase anticipatory control link Curve map method, coordinate in length and breadth is respectively with two control parameters of phase anticipatory control link, sets up a two dimension ginseng for bounded Number design space.With frequency domain Control performance standard as object function, two control parameters with phase anticipatory control link are to set Meter variable, draws the isopleth of each Control performance standard in parameter designing space, can obtain the control performance curve of system Figure.Control performance curve map presents the one-to-one relationship between Control performance standard and correction link parameter.Coordinate and right Than each performance chart, then the comprehensively optimal correction link parameter of control performance is can obtain, complete the optimal of correction link Change design.
Brief description of the drawings:
Fig. 1 is ssystem transfer function block diagram.
Fig. 2 is resonance peak performance chart.
Fig. 3 is cut-off frequency performance chart.
Fig. 4 is phase margin performance chart.
Fig. 5 is shearing frequency performance chart.
Fig. 6 is unit step response curve figure.
Specific embodiment:
Below in conjunction with drawings and Examples, the invention will be further described:
It is as shown in Figure 1 ssystem transfer function block diagram, wherein Kb=40 is the amplification coefficient of system amplifier, and phase surpasses The transmission function of preceding correction link isIt has two control parameters, respectively T and α, and has 0.05≤α < 1, this In our available parameter T span be 0 < T < 1.
It is respectively coordinate in length and breadth with the control parameter T and α of bounded, then can obtains the parameter designing space of correction link.With frequency Domain Control performance standard is object function, with parameter T and α as design variable, object function etc. is drawn in parameter designing space Value line, then can obtain the performance chart of each performance indications.
Fig. 2 show resonance peak performance chart, Fig. 3 and show cut-off frequency performance chart, Fig. 4 and show phase Nargin performance chart, Fig. 5 show shearing frequency performance chart.Coordinate and contrast each performance chart, then can obtain The optimal correction link parameter of combination property.For example, the parameter that correction link may be selected here is T=0.1 and α=0.1.
Fig. 6 show the unit-step nsponse curve figure of system, and three subgraphs correspond to correction link respectively in described Fig. 6 The unit-step nsponse curve of system when parameter is T=0 and α=0 (without correction link);Correction link parameter is T=0.0514 With α=0.233 (to meet phase margin more than or equal to 45 °, using the school that the frequency domain response method for designing based on Bode diagram is obtained Positive link parameter) when system unit-step nsponse curve;Correction link parameter is T=0.1 and the frequency domain (is applied in α=0.1 The correction link parameter that performance chart method is obtained) when system unit-step nsponse curve.Three subgraphs can shown in comparison diagram 6 See, frequency domain performance chart method can significantly improve the control performance of system, and with directly perceived, system, it is comprehensive the characteristics of.

Claims (1)

1. the frequency domain performance chart method of a kind of designed phase anticipatory control link, it is characterized in that with phase anticipatory control link Two control parameters are respectively coordinate in length and breadth, set up a two-dimensional parameter design space for bounded;With frequency domain Control performance standard It is object function, two control parameters with phase anticipatory control link draw each as design variable in parameter designing space The isopleth of individual Control performance standard, obtains the control performance curve map of system;Control performance curve map presents control performance One-to-one relationship between index and correction link parameter;Coordinate and contrast each performance chart, can obtain control performance Comprehensive optimal correction link parameter, completes the optimized design of correction link.
CN201710234971.6A 2017-04-12 2017-04-12 The frequency domain performance chart method of designed phase anticipatory control link Pending CN106909761A (en)

Priority Applications (1)

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CN201710234971.6A CN106909761A (en) 2017-04-12 2017-04-12 The frequency domain performance chart method of designed phase anticipatory control link

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Application Number Priority Date Filing Date Title
CN201710234971.6A CN106909761A (en) 2017-04-12 2017-04-12 The frequency domain performance chart method of designed phase anticipatory control link

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CN106909761A true CN106909761A (en) 2017-06-30

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Cited By (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN111832115A (en) * 2020-06-02 2020-10-27 哈尔滨工业大学(深圳)(哈尔滨工业大学深圳科技创新研究院) Symmetrical delay-advance correction integrated frequency design method

Cited By (2)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN111832115A (en) * 2020-06-02 2020-10-27 哈尔滨工业大学(深圳)(哈尔滨工业大学深圳科技创新研究院) Symmetrical delay-advance correction integrated frequency design method
CN111832115B (en) * 2020-06-02 2023-12-19 哈尔滨工业大学(深圳)(哈尔滨工业大学深圳科技创新研究院) Integrated frequency design method for symmetric delay-advance correction

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Application publication date: 20170630