CN100575959C - The control and treatment method and the device that are used for optical fiber current mutual inductor - Google Patents

Abstract

Embodiment of the present invention provides a kind of control and treatment method and device that is used for optical fiber current mutual inductor.After controller in the optical fiber current mutual inductor system receives input signal, parameter setting and performance index requirement according to the optical fiber current mutual inductor system, be optimized processing by feedback control signal to system, and then the state equation of system is optimized, the state variable of the system after calculating that is optimized, and then the state variable of the system after the optimization process carried out subsequent processes, obtain the output signal and the feedback signal of described system.By such optimization process to controller, just can suppress the variation of described system forward channel gain, the influence that makes system performance not changed by the system forward channel gain improves the frequency characteristic of system, thereby has improved the system performance of optical fiber current mutual inductor.

Description

The control and treatment method and the device that are used for optical fiber current mutual inductor

Technical field

The present invention relates to the optical fiber current mutual inductor field, relate in particular to a kind of control and treatment method and device that is used for optical fiber current mutual inductor.

Background technology

Development along with the current transformer technology, optical fiber current mutual inductor has obtained increasing application, because it adopts the media of optical fiber as induction of signal and transmission, not only good insulation preformance, be subjected to the influence of electromagnetic interference (EMI) also little, and project organization is simple, volume is little, light weight, and manufacturing cost is also lower.Present continuous expansion along with its range of application, requirement to dynamic properties such as the dynamic range of optical fiber current mutual inductor and frequency response ranges also is more and more higher, be illustrated in figure 1 as and carry out the structural representation that closed-loop control detects in the optical fiber current mutual inductor of the prior art, among the figure:

Arrive in the input signal of detector input end, owing to Faraday effect (Faraday effect) carries non-reciprocal phase difference Δ φ _sThis has carried non-reciprocal phase difference Δ φ _sInput signal successively by detector and preceding discharge road, analog to digital converter (A/D converter) and demodulating unit, arrive controller at last and obtain output signal.Described controller forms feedback phase after also this output signal being passed through digital to analog converter (D/A converter) and driver and phase-modulator successively as feedback signal , balance out the non-reciprocal phase difference Δ φ that produces owing to Faraday effect _sThereby, form closed-loop control.

Because in actual applications, the gain on the luminous power of system, the gain of detector and preceding discharge road all may cause the fluctuation of system forward channel gain because of temperature variation, the instability that will cause this optical fiber current mutual inductor system performance like this, and in the design of Controller of the prior art not at the counter-measure of this situation, thereby make system performance can be subjected to the influence of system forward channel gain fluctuation, reduced the performance of optical fiber current mutual inductor system.

Summary of the invention

Embodiment of the present invention technical matters to be solved is to provide a kind of control and treatment method and device that is used for optical fiber current mutual inductor, can improve the processing of controller to input signal, make system performance not be subjected to the influence of system forward channel gain variation, thereby improved the system performance of optical fiber current mutual inductor.

Embodiment of the present invention provides a kind of control and treatment method that is used for optical fiber current mutual inductor, comprising:

Parameter setting and performance index requirement according to the optical fiber current mutual inductor system utilize the robust control algorithm that the state equation of describing described system parameter setting is optimized calculating, are optimized to calculate the state variable of back system; Wherein, the parameter of described optical fiber current mutual inductor system is provided with specifically and comprises: according to the mathematical model of described optical fiber current mutual inductor system and the variation of described system forward channel gain parameter, obtain describing the state equation of described system parameter setting;

By controller to computation optimization after the state variable of system carry out subsequent processes, obtain the output signal and the feedback signal of described system, suppress the variation of described system forward channel gain.

The variation of described system forward channel gain parameter specifically comprises:

Vary with temperature and the parameter that causes changes by luminous power, detector gain and the gain of preceding discharge road of described optical fiber current mutual inductor system.

Described performance index require to be set according to the actual requirements by the user.

Embodiment of the present invention also provides a kind of as above method the described control and treatment device that is used for optical fiber current mutual inductor, comprising:

The signal optimizing unit, be arranged on the controller in the optical fiber current mutual inductor system, be used for parameter setting and performance index requirement, described controller is optimized processing, suppress the influence of the variation of described system forward channel gain system according to described optical fiber current mutual inductor system;

Wherein, comprise in the described signal optimizing unit:

The robust control computing module is used for according to the robust control algorithm state equation of describing described system parameter setting being optimized calculating, the state variable of the system after calculating that is optimized; Wherein, the state variable of the system after the computation optimization is carried out subsequent processes, obtain the output signal and the feedback signal of described system.

By the above-mentioned technical scheme that provides as can be seen, parameter setting and performance index requirement according to the optical fiber current mutual inductor system, controller in the described optical fiber current mutual inductor system is optimized processing, specifically can be that feedback control signal to system is optimized processing, and then the state equation of system is optimized the state variable of the system after calculating that is optimized.By such optimization process, just can suppress the variation of described system forward channel gain, make system performance not be subjected to the influence of system forward channel gain variation, thereby improved the system performance of optical fiber current mutual inductor.

Description of drawings

Fig. 1 is the structural representation that the closed-loop control of optical fiber current mutual inductor system detects;

Fig. 2 is the schematic flow sheet of the described control and treatment method of embodiment of the present invention;

System response curve synoptic diagram after Fig. 3 changes for the present invention suppresses the system forward channel gain;

Fig. 4 is the structural representation of the described control and treatment device of embodiment of the present invention.

Embodiment

Embodiment of the present invention provides a kind of control and treatment method and device that is used for optical fiber current mutual inductor.By the parameter of analyzing the optical fiber current mutual inductor system situation is set, and the requirement of taking into account system performance index, utilize the robust control algorithm that the controller in the optical fiber current mutual inductor system is optimized processing, like this when the variation owing to the system forward channel gain causes that there is parameter uncertainty in system, the amplitude versus frequency characte of described optical fiber current mutual inductor system can remain unchanged substantially, that is to say the influence that guarantees that system performance is not changed by the system forward channel gain, and then improved the system performance of optical fiber current mutual inductor.

For better describing embodiment of the present invention, now in conjunction with the accompanying drawings the specific embodiment of the present invention is described, be illustrated in figure 2 as the schematic flow sheet of the described control and treatment method of embodiment of the present invention, described method comprises:

Step 21: controller is optimized processing.

Be exactly specifically, when the controller in the optical fiber current mutual inductor system receives input signal, by of parameter setting and the performance index requirement of specific functional module according to the optical fiber current mutual inductor system, feedback control signal to system is optimized processing, and then the state equation of system is optimized, the state variable of the system after handling that is optimized, it can be to be set according to the actual requirements by the user that performance index described here require, specifically can be requirement to the dynamic tracking characteristic, or to the requirement of system's static accuracy.

The process of optimization process described here specifically can be the computation optimization of the state equation of describing described system parameter setting being carried out according to the robust control algorithm, also can be the computation optimization of the state equation of describing described system parameter setting being carried out by other control algolithm.Be calculated as example and further specify to be optimized below according to the robust control algorithm:

Robust control algorithm described here utilizes robust control theory exactly, at the performance index requirement design control algolithm of optical fiber current mutual inductor system, improves the influence of the parameter uncertainty of optical fiber current mutual inductor system to system performance.

The parameter that at first needs to know described optical fiber current mutual inductor system is provided with situation, in this specific embodiment, described parameter is provided with situation and can describes with the state equation of described system, the system state equation here can be according to the mathematical model of described optical fiber current mutual inductor system and consider that the uncertainty of described systematic parameter obtains.

The uncertainty of systematic parameter described here is meant the variation of system forward channel gain; The factor that causes the system forward channel gain to change can be to be caused with variation of temperature by the luminous power of optical fiber current mutual inductor system, detector gain and the gain of preceding discharge road.

The state equation of the optical fiber current mutual inductor system in the present embodiment can be represented with following formula:

x ₁(k+1)＝x ₂(k) (1)

x ₂(k+1)＝-10(k ₁+k′)k ₂x ₁(k)-4(k ₁+k′)k ₂x ₂(k)+10(k ₁+k′)u(k)

In above state equation, the state variable of x (k) expression system, the FEEDBACK CONTROL of u (k) expression system, k ₁System forward channel gain during expression normal temperature, k ' expression system forward channel gain is with variation of temperature value, k ₂The feedback gain of expression system.Consider the value of each parameter in the optical fiber current mutual inductor system: k ₁=0.1, k ₂=1.

Through the reality measuring and calculating as can be known: the system forward channel gain varies with temperature and is no more than 20%, again because k ₁=0.1; So | k ' |≤0.02.

Further, can be to describe formula (1) by following state equation:

x(k+1)＝(A+ΔA)x(k)+(B+ΔB)u(k) (2)

A and B are the known solid constant matricess of descriptive system model; Δ A and Δ B are the probabilistic unknown real matrixes of parameter k ' in the reflection system model, owing to the variation of k ' in real system is a bounded, so Δ A and Δ B are norm and bounded, and have following form simultaneously:

[ΔA?ΔB]＝DF[E ₁?E ₂] (3)

F in the wherein above-mentioned formula 3 satisfies F ^TThe uncertain matrix of F≤I; And D, E ₁And E ₂Be the known constant matrices of expression, its implication has reflected the structural information of uncertain parameter in the system.

Know by above formula 1,2 and 3:

$A=\left[\begin{array}{cc}0& 1\\ -1& -0.4\end{array}\right],$ $B=\left[\begin{array}{c}0\\ 1\end{array}\right],$ $\mathrm{\ΔA}=\left[\begin{array}{cc}0& 0\\ -10k^{\′}{k}_2& -4k^{\′}{k}_2\end{array}\right],$ $\mathrm{\ΔB}=\left[\begin{array}{c}0\\ 10k^{\′}\end{array}\right],$ D＝[0?1] ^T，E ₁＝[-0.2?-0.08]，E ₂＝0.2

Detailed description is utilized the process that the algorithm of robust control theory is handled the input signal of system below:

At first, at the mathematical model of system and the uncertainty of systematic parameter, defined performance index of closed-loop system:

$J=\underset{k=0}{\overset{\∞}{\mathrm{\Σ}}}[x^T\left(k\right)\mathrm{Qx}\left(k\right)+u^T\left(k\right)\mathrm{Ru}\left(k\right)]---\left(4\right)$

In above formula 4: X ^T(k) QX (k) is the error sum of squares integration, can be used for representing the dynamic performance index of system; U ^T(k) RU (k) has then represented catabiotic punishment index.

In addition, Q and R are given symmetric positive definite weighting matrixs, formula 4 has guaranteed that not only the closed loop uncertain system is that secondary is stable, but also the quadratic performance index that has guaranteed closed loop is no more than the upper bound that certain is determined, design a state feedback control law u (k)=Kx (k), feasible all parameter uncertainties as shown in formula 3, closed-loop control system can both satisfy above design objective, and u (k) just is called the secondary guaranteed cost control rule of uncertain system.

Specifically, there are constant ε＞0, matrix W and symmetric positive definite matrix X, make when there is secondary guaranteed cost control rule in system and if only if

$\left[\begin{array}{ccccc}{\mathrm{\&epsiv;DD}}^T-X& \mathrm{AX}+\mathrm{BW}& 0& 0& 0\\ {(\mathrm{AX}+\mathrm{BW})}^T& -X& {(E_{1}X+E_{2}W)}^T& X& W^T\\ 0& E_{1}X+E_{2}W& -\mathrm{\&epsiv;I}& 0& 0\\ 0& X& 0& -Q^{-1}& 0\\ 0& W& 0& 0& -R^{-1}\end{array}\right]<0---\left(5\right)$

And then, when above-mentioned MATRIX INEQUALITIES 5 separate and W and X＞0 the time, u (k)=WX ^-1X (k) is a secondary guaranteed cost control rule of system, and the corresponding system performance index upper bound is J≤Trace (X ^-1).

Above-mentioned MATRIX INEQUALITIES 5 is LMIs, therefore can utilize the solver (feasp) in LMI (LMI) the instrument feather cockscomb to find the solution this LMI, solves secondary guaranteed cost control rule:

U (k)=[0.8396 0.3103] x (k), then K=[0.8396 0.3103]

Hence one can see that, and at the uncertainty of the systematic parameter of all permissions, the performance index of optical fiber current mutual inductor system can satisfy J≤6.7307.

Add secondary guaranteed cost control rule u (k)=Kx (k) in the described optical fiber current mutual inductor system, and with behind the formula 3 substitution formula 2, the system state equation after the calculating that just can be optimized:

x(k+1)＝[A+BK+DF(E ₁+E ₂K)]x(k)+Bv(k)

The implication of above-mentioned each parameter is existing in above other formula describes output equation y (the k)=x of known system ₁(k), wherein, v (k) is the input of system, and y (k) is the output of system.

Like this,, just can be optimized calculating to received input signal, finish follow-up operation according to the robust control algorithm by above processing procedure.

Above-described optimization process also can utilize other control theory algorithm to carry out, as long as can just control and can meet the demands the performance index of optical fiber current mutual inductor system.

Step 22: optimize input signal, suppress the variation of described system forward channel gain.

Be exactly specifically,, utilize the robust control algorithm that the feedback control signal of system is optimized processing, and then the state equation of system is optimized, just can obtain the state variable of the system after this optimization process in operation by above step 21.And then carry out subsequent processes by the state variable of the system of controller after to optimization process, obtain the output signal and the feedback signal of described system, so just can suppress the influence of the variation of described system forward channel gain to system performance, just guarantee the influence that system performance is not changed by the system forward channel gain, improve the system performance of optical fiber current mutual inductor.

For instance, be illustrated in figure 3 as the system response curve synoptic diagram after the system forward channel gain changes, as can be seen from the figure: when the system forward channel gain changes 20%, k '=+ 0.02 or k '=-0.02 o'clock just, the variation of system response curve is all very little, has excellent control effect.That is to say that when because various uncertain factors when causing the system forward channel gain to change the amplitude versus frequency characte of described optical fiber current mutual inductor system can both remain unchanged substantially, thereby has improved its system performance.

Embodiment of the present invention also provides a kind of control and treatment device that is used for optical fiber current mutual inductor, be illustrated in figure 4 as the structural representation of described device, comprise the signal optimizing unit in the described device, described signal optimizing unit is arranged on the controller in the optical fiber current mutual inductor system, be used for parameter setting and performance index requirement according to described optical fiber current mutual inductor system, feedback control signal to described system is optimized processing, and then the state equation of system is optimized, suppress the influence of the variation of described system forward channel gain to system.Concrete optimizing process is as above described in the step 21 of method embodiment.

In addition, in above-described signal optimizing unit, also comprise the robust control computing module, described robust control computing module is used for according to the robust control algorithm state equation of describing described system parameter setting being optimized calculating, the state variable of the system after calculating that is optimized; State variable to the system after the optimization process is carried out follow-up computing, obtains the output signal and the feedback signal of described system.Concrete computation optimization process is as above described in the method embodiment.

Above-described device can integratedly be arranged in the described controller, also can be arranged to independent functional entity, maintains the connection with described controller.

In sum, embodiment of the present invention can suppress the influence of the variation of described system forward channel gain to system, makes system performance not be subjected to the influence of system forward channel gain variation, thereby has improved the system performance of optical fiber current mutual inductor.

The above; only be the preferable embodiment of the present invention; but protection scope of the present invention is not limited thereto; anyly be familiar with those skilled in the art in the technical scope that the embodiment of the invention discloses; the variation that can expect easily or replacement all should be encompassed within protection scope of the present invention.Therefore, protection scope of the present invention should be as the criterion with the protection domain of claim.

Claims (4)

1, a kind of control and treatment method that is used for optical fiber current mutual inductor is characterized in that:

Parameter setting and performance index requirement according to the optical fiber current mutual inductor system utilize the robust control algorithm that the state equation of describing described system parameter setting is optimized calculating, are optimized to calculate the state variable of back system; Wherein, the parameter of described optical fiber current mutual inductor system is provided with specifically and comprises: according to the mathematical model of described optical fiber current mutual inductor system and the variation of described system forward channel gain parameter, obtain describing the state equation of described system parameter setting;

By controller to computation optimization after the state variable of system carry out subsequent processes, obtain the output signal and the feedback signal of described system, suppress the variation of described system forward channel gain.

2, the control and treatment method that is used for optical fiber current mutual inductor as claimed in claim 1 is characterized in that, the variation of described system forward channel gain parameter specifically comprises:

Vary with temperature and the parameter that causes changes by luminous power, detector gain and the gain of preceding discharge road of described optical fiber current mutual inductor system.

3, the control and treatment method that is used for optical fiber current mutual inductor as claimed in claim 1 or 2 is characterized in that, described performance index require to be set according to the actual requirements by the user.

4, a kind of employing control and treatment device that is used for optical fiber current mutual inductor of method according to claim 1 is characterized in that, comprising:

The signal optimizing unit, be arranged on the controller in the optical fiber current mutual inductor system, be used for parameter setting and performance index requirement, described controller is optimized processing, suppress the influence of the variation of described system forward channel gain system according to described optical fiber current mutual inductor system;

Wherein, comprise in the described signal optimizing unit:

The robust control computing module is used for according to the robust control algorithm state equation of describing described system parameter setting being optimized calculating, the state variable of the system after calculating that is optimized; Wherein, the state variable of the system after the computation optimization is carried out subsequent processes, obtain the output signal and the feedback signal of described system.

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