CN114499187A - Self-adaptive MPC control method of double-phase interleaved parallel DC-DC converter - Google Patents

Self-adaptive MPC control method of double-phase interleaved parallel DC-DC converter Download PDF

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CN114499187A
CN114499187A CN202210041902.4A CN202210041902A CN114499187A CN 114499187 A CN114499187 A CN 114499187A CN 202210041902 A CN202210041902 A CN 202210041902A CN 114499187 A CN114499187 A CN 114499187A
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value
converter
adaptive
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丁世宏
詹志文
刘陆
马莉
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Jiangsu University
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    • H—ELECTRICITY
    • H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02M—APPARATUS FOR CONVERSION BETWEEN AC AND AC, BETWEEN AC AND DC, OR BETWEEN DC AND DC, AND FOR USE WITH MAINS OR SIMILAR POWER SUPPLY SYSTEMS; CONVERSION OF DC OR AC INPUT POWER INTO SURGE OUTPUT POWER; CONTROL OR REGULATION THEREOF
    • H02M3/00—Conversion of dc power input into dc power output
    • H02M3/02—Conversion of dc power input into dc power output without intermediate conversion into ac
    • H02M3/04—Conversion of dc power input into dc power output without intermediate conversion into ac by static converters
    • H02M3/10—Conversion of dc power input into dc power output without intermediate conversion into ac by static converters using discharge tubes with control electrode or semiconductor devices with control electrode
    • H02M3/145—Conversion of dc power input into dc power output without intermediate conversion into ac by static converters using discharge tubes with control electrode or semiconductor devices with control electrode using devices of a triode or transistor type requiring continuous application of a control signal
    • H02M3/155—Conversion of dc power input into dc power output without intermediate conversion into ac by static converters using discharge tubes with control electrode or semiconductor devices with control electrode using devices of a triode or transistor type requiring continuous application of a control signal using semiconductor devices only
    • H02M3/156—Conversion of dc power input into dc power output without intermediate conversion into ac by static converters using discharge tubes with control electrode or semiconductor devices with control electrode using devices of a triode or transistor type requiring continuous application of a control signal using semiconductor devices only with automatic control of output voltage or current, e.g. switching regulators
    • H02M3/158—Conversion of dc power input into dc power output without intermediate conversion into ac by static converters using discharge tubes with control electrode or semiconductor devices with control electrode using devices of a triode or transistor type requiring continuous application of a control signal using semiconductor devices only with automatic control of output voltage or current, e.g. switching regulators including plural semiconductor devices as final control devices for a single load
    • H02M3/1584—Conversion of dc power input into dc power output without intermediate conversion into ac by static converters using discharge tubes with control electrode or semiconductor devices with control electrode using devices of a triode or transistor type requiring continuous application of a control signal using semiconductor devices only with automatic control of output voltage or current, e.g. switching regulators including plural semiconductor devices as final control devices for a single load with a plurality of power processing stages connected in parallel

Abstract

The invention discloses a self-adaptive MPC control method of a double-phase interleaved parallel DC-DC converter, belonging to the field of vehicle-mounted chargers. Under the control method, the output voltage stability of the system is high, and the tracking speed is high. The method mainly comprises the following steps: 1, establishing a dynamic model of a system, and discretizing the dynamic model by using the dynamic model to obtain a system discrete model; 2, establishing an observer module, estimating state variables in the system, and obtaining observed values of the input voltage and the load resistance; and 3, establishing an MPC controller, obtaining a current reference value in the voltage outer ring through a proportion link, and finally predicting the next moment of the model. The invention has the advantages that: firstly, the system can quickly and automatically react when the disturbance occurs to the load or the input voltage, so that the precision of the output voltage tracking reference value is improved; secondly, the control effect in the traditional MPC method is obviously optimized, and the potential buffeting and overshoot problems are reduced; thirdly, the control method has simple structure, small operand and convenient realization.

Description

Self-adaptive MPC control method of double-phase interleaved parallel DC-DC converter
The invention relates to the field of vehicle-mounted chargers, in particular to a method for controlling a novel MPC (dynamic control unit), which is used for improving the dynamic performance and the steady-state performance of a power converter, improving the robustness of a system, estimating unknown load resistance and input voltage by using a self-adaptive sliding mode observer to reduce cost and is closer to practical application.
Background
In the field of pure electric vehicle DC-DC converters, pure electric vehicles need to charge automobile energy sources through charging piles, the output voltage of the charging piles is often lower, people are more and more eager for quick charging, a Boost circuit is required to process the charging piles, a Boost power converter is a frequently-used DC-DC switching power supply, unstable input voltage can be converted into output voltage which is higher and more stable than input voltage through some control, the topological structure is simple, components are few, the working reliability is good, and the pure electric vehicle DC-DC converter has wide application in the industries such as aerospace, energy, electric vehicles and medical treatment. Compared with single-phase Boost, the interleaved parallel Boost has small volume and small current ripple and output voltage ripple. Therefore, more and more pure electric vehicles are favored to the interleaving parallel Boost circuit. Since the Boost circuit has non-linear and non-minimum phase characteristics, one standard method is to use a linear PWM-based PI control strategy, which may degrade the performance of the linear controller, and it is impossible to directly control the output voltage by a control method with an output voltage error as an output, such as input-output feedback linearization, a backstepping method, etc., that is, when the output voltage is selected as an output, zero dynamics is unstable, and output voltage regulation should be converted into current tracking, which is convenient to implement, called indirect control. The adaptive boost control is mostly indirect control. The invention provides a novel model prediction control method. The tracking of the output voltage can be conveniently realized by adopting the existing MPC. The invention adds a method of adaptive rule observer, which requires no offset tracking and the state of the system is not necessarily fully measurable or difficult to physically measure at a large cost under various disturbances such as load resistance, inductance value, input voltage, etc. The advantage of this solution is that it requires only a one-step prediction range for controlling the converter, and the transient response is good, the individual state vectors and the input voltage and load resistance accurately track the actual values.
MPC is a finite horizon optimization method, and the finite control set MPC (fcs MPC) is well suited for dc power electronics. Boost converters are typical dc power systems and have the disadvantage of computational complexity to solve the optimization problem. Therefore, a method only needs one step of predicting the time domain, and has the advantage of constant switching frequency. The advantage of predictive control strategies is that they do not rely on an averaging model and converter limitations such as over-current can be considered as system constraints in the formulation of the optimal control problem.
Disclosure of Invention
The invention discloses a control method of a two-phase interleaved Boost converter MPC based on a self-adaptive sliding mode observer. The states of the circuit are observed through the self-adaptive observer, the inductive current, the output voltage, the input voltage and the load observed value in the circuit can accurately track the actual value and bring the observed value into the MPC controller, the controller generates the duty ratio, and the output voltage can stably and quickly reach the reference value. The method comprises the following specific steps:
step 1, establishing a state space expression according to the working principle of a control system of a two-phase interleaved boost converter;
step 2, establishing a sliding-mode observer based on the mathematical model in the previous step, and designing input voltage and load resistance as adaptive parameters of the observer;
step 3, analyzing the conditions required to be met by the MPC controller, establishing a dispersion model of the interleaved boost converter, and predicting the output voltage and the variation trend of the inductance current at the future moment;
step 4, calculating a reference value of each phase of inductive current by combining the input voltage and the load obtained by observation, and constructing a target optimization function of the system by combining the reference value with a sampling value;
and 5, minimizing the target optimization function constructed in the fifth step, and solving the control input based on the interleaved boost converter to serve as the duty ratio input value of the next moment.
Further, in step 1, the system state space expression is specifically expressed as follows:
Figure BDA0003470585540000021
wherein x is1、x2Respectively represent iL1、iL2；Z＝Vc-Vref，L1、L2RepresentsEach equivalent inductance value in the circuit, C represents the equivalent capacitance value in the circuit, VrefRepresents the output voltage reference value and theta represents the inverse of the load resistance value.
Furthermore, the capacitance voltage error Z information is fully considered, and a new state variable inductive current is introduced.
Further, in step 2, based on the system state space expression (1), the sliding mode observer is designed as follows:
Figure BDA0003470585540000031
wherein, the first and the second end of the pipe are connected with each other,
Figure BDA0003470585540000032
and
Figure BDA0003470585540000033
are each x1、x2And an estimate of Z;
Figure BDA0003470585540000034
is an estimate of the input voltage;
Figure BDA0003470585540000035
is an estimate of θ; h is1、h2、h 30 is the observer gain.
Further, adaptive parameters designed on the observer
Figure BDA0003470585540000036
And
Figure BDA0003470585540000037
given by the following adaptation law:
Figure BDA0003470585540000038
Figure BDA0003470585540000039
wherein alpha is1、α2> 0 is the adaptive gain.
Further, in step 3, based on the system state space expression (1), a discrete model of the two-phase interleaved parallel Boost converter system is established as follows:
Figure BDA00034705855400000310
Figure BDA00034705855400000311
wherein, TsRepresenting the sampling period, Vin(k) Represents the value of the input voltage at the k-th sampling time, θ (k) represents the inverse of the load resistance at the k-th sampling time, iL1(k)、iL2(k) Representing the value of the inductor current sample at the kth sampling instant of each phase, Z (k) representing the difference between the value of the output voltage sample at the kth sampling instant and the input reference value, u1(k)、u2(k) E (0, 1) represents the control input at the kth time of sampling for each phase.
Simplifying expressions (3) and (4) into a unified discrete model expression can result:
Xi＝1，2(k+1)＝AXi(k)+BXi(k)ui(k)+Cui(k)+D (5)
wherein
Figure BDA0003470585540000041
Figure BDA0003470585540000042
Further, in the step 4, the reference value of the inductor current is expressed as follows:
Figure BDA0003470585540000043
based on the discrete mathematical model (5) of the system, a system optimization objective cost function is constructed as follows:
Figure BDA0003470585540000044
wherein the content of the first and second substances,
Figure BDA0003470585540000045
is a reference value for the state variable,
Figure BDA0003470585540000046
which is a difference value of the controller,
Figure BDA0003470585540000047
as an ideal value for the controller, vector PcIs the weight of the error of the inductive current and the error of the output capacitance, and gamma is the controller uiThe weight of (c).
Further, according to J when k → ∞ is reachedu(Xi(k+1)，ui *)-Ju(Xi(k)，ui) Less than or equal to 0 to obtain PcNeed to satisfy Pc-(A+Bui *)TPc(A+Bui *) Not less than 0, the purpose is to pass the average value u of the controlleriSo that the value of the cost function tends to be minimal.
Further, in said step 5, based on the optimized objective cost function (6) of the system, the optimal switching state u is selected by selecting the method of minimizing the associated cost functioniThe following can be obtained:
Figure BDA0003470585540000048
c1(Xi(k+1))＝AXi(k)+D-Xi *
c2(Xi(k+1))＝BXi(k)+C
wherein, gamma and u*、Pc、Xi *Is a known constant and is required to satisfy gamma > 0 and Pc＞0、c1(Xi(k+1))、 c2(Xi(k +1)) is an intermediate variable.
The invention has the following beneficial technical effects:
the invention designs a novel MPC controller based on a sliding-mode observer and a double-phase interleaved parallel Boost converter, and intuitively: the steady-state performance and the dynamic performance of the system can be improved, and the complexity of the algorithm is greatly reduced; microscopically: the system state is observed by using a sliding-mode observer, the non-deviation tracking is realized, the change trend of each state at the future moment is considered, the global finite time stability and convergence are proved on Simulink simulation in Matlab, and the interference caused by the change of the load and the instability of the input voltage is eliminated by tracking the actually measured value with accurate estimated value.
Drawings
Fig. 1 is a block diagram of a control system of a two-phase interleaved parallel Boost converter.
Fig. 2 is a waveform of a two-phase interleaved parallel Boost converter in a start-up phase.
Fig. 3 is a voltage waveform of a sudden load change output voltage of a two-phase interleaved parallel Boost converter.
Fig. 4 is a sudden voltage transformation waveform of a two-phase interleaved parallel Boost converter.
Fig. 5 is a waveform obtained by an observer of a two-phase interleaved parallel Boost converter.
Detailed Description
The invention will be further described with reference to the accompanying drawings.
The embodiments of the present invention are described below by way of specific examples, and those skilled in the art can easily implement the embodiments disclosed in the present specification.
The topological structure used by the invention is a two-phase interleaved parallel Boost power converter, as shown in fig. 1, the topological structure comprises the following components: DC voltage source VinSwitch tube SiDiode DiInductor LiOutput capacitor C and load R. The MPC controller is configured to control the MPC controller,a continuous mathematical model is established, discretization is carried out, and a controller is designed through a cost function. The specific parameters are as follows: input voltage Vin15V, desired value V of output voltagec60V, inductance L1＝L2100 muh, 680 muf output capacitor C, 18 Ω load resistor R, and system frequency Fs＝100KHz。
A novel MPC control method based on a self-adaptive sliding mode observer double-phase interleaved parallel Boost converter is realized by the following steps:
1. the method for establishing the system state space expression based on the two-phase interleaved Boost power converter shown in fig. 1 is as follows:
Figure BDA0003470585540000061
wherein x is1、x2Respectively represent iL1、iL2；Z＝Vc-Vref，VrefRepresents the output voltage reference value and theta represents the inverse of the load resistance value.
The capacitance voltage error Z information is fully considered, and then a new state variable inductive current is introduced.
2. Based on a system state space expression (1), a sliding mode observer is established, and the method is specifically designed as follows:
Figure BDA0003470585540000062
wherein the content of the first and second substances,
Figure RE-GDA0003562898090000063
and with
Figure RE-GDA0003562898090000064
Are each x1、x2And an estimate of Z;
Figure RE-GDA0003562898090000065
is an estimate of the input voltage;
Figure RE-GDA0003562898090000066
is an estimate of θ; h is1、h2、h 30 is observer gain, let
Figure RE-GDA0003562898090000067
Figure RE-GDA0003562898090000068
3. Designing an adaptive law to observe adaptive parameters
Figure BDA00034705855400000610
And
Figure BDA00034705855400000611
the construction method comprises the following steps:
first, subtracting (2) from (1) yields the following model:
Figure BDA00034705855400000612
according to the state variable error selected by the model (3), the Lyapunov function is designed as follows:
Figure BDA00034705855400000613
wherein alpha is1、α2> 0 is adaptive gain;
according to the error model (3), the expression (4) is derived and analyzed according to the Lyapunov stability theory to obtain
Figure BDA0003470585540000071
The expression is as follows:
Figure BDA0003470585540000072
to make it
Figure BDA0003470585540000073
Depending on the content of the parentheses in the cancellation expression (5); thus giving the following adaptation law:
Figure BDA0003470585540000074
Figure BDA0003470585540000075
4. based on a system state space expression (1), a discrete model of the interleaved Boost converter is established, and the output voltage and the inductance current change trend at the future moment are predicted, wherein the discrete model is as follows:
Figure BDA0003470585540000076
Figure BDA0003470585540000077
wherein, TsRepresenting the sampling period, Vin(k) Representing the value of the input voltage at the sampling time k, theta (k) representing the inverse of the load resistance at the sampling time k, iL1(k)、iL2(k) Representing the value of the inductor current sample at the kth sampling instant of each phase, Z (k) representing the difference between the value of the output voltage sample at the kth sampling instant and the input reference value, u1(k)、u2(k) E (0, 1) represents the control input at the kth time of sampling for each phase.
Simplifying expressions (6) and (7) into a unified discrete model expression can result:
Xi＝1，2(k+1)＝AXi(k)+BXi(k)ui(k)+Cui(k)+D (8)
wherein
Figure BDA0003470585540000081
Figure BDA0003470585540000082
5. According to the condition that the input power of the circuit is equal to the output power, a reference value of the inductive current is obtained, and a proportion of the difference value of the output voltage and the reference value of the output voltage is added to the reference value of the inductive current, so that the expression of the reference value of the inductive current is as follows:
Figure BDA0003470585540000083
in order to keep the switching frequency constant, the prediction domain is 1, and based on the system discrete model (8), the target cost function of the constructed system is expressed as follows:
Figure BDA0003470585540000084
wherein the content of the first and second substances,
Figure BDA0003470585540000085
is a reference value for the state variable,
Figure BDA0003470585540000086
which is a difference value of the controller,
Figure BDA0003470585540000087
as an ideal value for the controller, vector PcIs the weight of the error of the inductor current and the error of the output capacitor, and gamma is the controller uiThe weight of (c).
6. To enable to change the controller mean value uiTo minimize the value of the cost function, a suitable vector P needs to be designedcThe specific design method comprises the following steps:
first, the state variable steady state error is defined: e (k +1) ═ Xi(k+1)-Xi *To ensure Ju(X(k+1)，u*)-Ju(X(k)，u)＝-e(k)TWce(k)-γui 2< 0, i.e. when WcWhen the value is more than or equal to 0, Ju(X(k+1)，u*)＜Ju(x (k), u), so that the system cost function can converge quickly. Wherein, Wc＝Pc-(A+Bu *)TPc(A+Bu *)。
Thus, the weight matrix PcIs designed to satisfy Pc-(A+Bu*)TPc(A+Bu*) Is more than or equal to 0. This is easily achieved and thus can be obtained
Figure BDA0003470585540000091
7. Based on a target cost function (9) of the system, designing a self-adaptive MPC controller of a two-phase interleaved Boost converter, specifically designing as follows:
the optimizer of the optimization problem minimizes future state errors and input deviations while satisfying input constraints. To derive the case of cost function optimization, the cost function is rewritten as:
Ju(X(k+1)，u)＝[(BX(k)+C)TPC(BX(k)+C)+γ]u(k)2 +[2(BX(k)+C)TPc(AX(k)+D-X*)-2γ]u(k) +(AX(k)+D-X*)TPC(AX(k)+D-X*)-γu*
the optimal solution is determined according to the cost function by
Figure BDA0003470585540000092
Calculated, the adaptive MPC controller is specifically designed as follows:
Figure BDA0003470585540000093
the control parameters need to meet the following requirements: u is more than 0i＜1(i＝1，2)。Pc-(A+Bu*)≥0；
Designing an intermediate variable:
c1(Xi(k+1))＝AXi(k)+D-Xi *
c2(Xi(k+1))＝BXi(k)+C
wherein, gamma and u*、Pc、Xi *Is a known constant and is required to satisfy gamma > 0 and Pc＞0、c1(Xi(k+1))、 c2(Xi(k +1)) is an intermediate variable.
Example (b): the design is verified by the following simulation results:
the comparison of four conditions is given below, namely the system starts to respond to the system steady state at the system starting time, and the output waveform of the traditional MPC algorithm and the self-adaptive MPC algorithm is compared; the system suddenly changes the load, and compared with the traditional MPC algorithm, the output waveform of the novel self-adaptive MPC algorithm is obtained; the system changes voltage suddenly, and compared with the traditional MPC algorithm, the output waveform of the MPC algorithm is self-adaptive.
Case 1: waveform of starting stage of two-phase interleaved Boost power converter
As shown in fig. 2: given a given voltage of 15V and an output voltage of 60V, the novel MPC controller of the present invention was presented to compare the system response speed, system overshoot, and time to steady state compared to the outputs produced by conventional MPC controllers. From the simulation results it can be derived: from the viewpoints of overshoot, dynamic indexes such as response time and steady-state indexes, the adaptive MPC is better than the traditional MPC controller.
Case 2: sudden load-changing waveform of two-phase interleaved Boost power converter
As shown in fig. 3: in the case of a given voltage of 15V and an output voltage of 60V as shown in fig. 3, the load resistance was suddenly changed from 18 Ω to 30 Ω, and the output voltage change at the moment of load change was observed. From the simulation, the adaptive MPC has an output voltage increase at the moment of varying load, but can still track the upper target voltage. This error is lower than that of the conventional MPC algorithm, and the tracking effect of the output voltage is better than that of other controllers. From the simulation effect, the adaptive MPC algorithm has good advantages.
Case 3: sudden voltage transformation waveform of two-phase interleaved Boost power converter
As shown in fig. 4: in the case where the given voltage is 15V and the output voltage is 60V as shown in fig. 4, the input voltage is suddenly changed from 15V to 18V, and the change in the output voltage at the moment of transformation is observed. From the simulation result, the output voltage error value of the adaptive MPC algorithm is slightly higher than that of the traditional MPC algorithm, wherein the traditional MPC has a jitter phenomenon, and the adaptive MPC well eliminates the defect; and the convergence speed of the adaptive MPC is faster.
Case 4: waveform obtained by observer of double-phase interleaved Boost converter
As shown in fig. 5: as shown in fig. 5, when the given voltage is 15V, the output voltage is 60V, the load resistance is suddenly changed from 18 Ω to 30 Ω, and the input voltage is suddenly changed from 15V to 18V, fig. 5(1) reflects the change waveform of the input voltage observed value, and fig. 5(2) reflects the change waveform of the output load observed value. From simulation results, the input voltage and the output load reach steady state in a very fast time, and under the condition of load change or voltage change, the input voltage and the output load change to actual values in a step mode.
From the simulation results: the new MPC is better than other controllers. The above-listed detailed description is only a specific description of a possible embodiment of the present invention, and they are not intended to limit the scope of the present invention, and equivalent embodiments or modifications made without departing from the technical spirit of the present invention should be included in the scope of the present invention.

Claims (9)

1. An adaptive MPC control method of a two-phase interleaved parallel DC-DC converter is characterized by comprising the following steps:
step 1, establishing a state space expression according to the working principle of a control system of a double-phase interleaved boost converter;
step 2, establishing a sliding mode observer based on the mathematical model in the previous step, and designing input voltage and load resistance as adaptive parameters of the observer;
step 3, analyzing the conditions required to be met by the MPC controller, establishing a discrete model of the interleaved boost converter, and predicting the output voltage and the variation trend of the inductance current at the future moment;
step 4, calculating a reference value of each phase of inductive current by combining the input voltage and the load obtained by observation, and constructing a target optimization function of the system by combining the reference value with a sampling value;
and 5, minimizing the target optimization function constructed in the fifth step, and solving the control input based on the staggered parallel boost converter to serve as the duty ratio input value of the next moment.
2. The adaptive MPC control method of a two-phase interleaved parallel DC-DC converter as claimed in claim 1, wherein in step 1, the system state space expression is specifically expressed as follows:
Figure FDA0003470585530000011
wherein x is1、x2Each represents iL1、iL2；Z＝Vc-Vref，L1、L2Representing the equivalent inductance values in the circuit, C representing the equivalent capacitance value in the circuit, VrefRepresenting the output voltage reference value and theta representing the inverse of the load resistance value.
3. The system state space expression (1) of claim 2, wherein the capacitance voltage error Z information is fully considered, and a new state variable inductor current is introduced.
4. The adaptive MPC control method of a two-phase interleaved parallel DC-DC converter as claimed in claim 1, wherein in the step 2, based on the system state space expression (1), the sliding-mode observer is designed as follows:
Figure FDA0003470585530000021
wherein the content of the first and second substances,
Figure FDA0003470585530000022
and
Figure FDA0003470585530000023
are each x1、x2And an estimate of Z;
Figure FDA0003470585530000024
is an estimate of the input voltage;
Figure FDA0003470585530000025
is an estimate of θ; h is1、h2、h3> 0 is the observer gain.
5. The sliding-mode observer (2) according to claim 4, characterized by adaptive parameters designed on the observer
Figure FDA0003470585530000026
And
Figure FDA0003470585530000027
given by the following adaptation law:
Figure FDA0003470585530000028
Figure FDA0003470585530000029
wherein alpha is1、α2> 0 is the adaptive gain.
6. The adaptive MPC control method of a two-phase interleaved parallel DC-DC converter as claimed in claim 1, wherein in the step 3, based on the system state space expression (1), a discrete model of the two-phase interleaved parallel Boost converter system is established as follows:
Figure FDA00034705855300000210
Figure FDA00034705855300000211
wherein, TsRepresenting the sampling period, Vin(k) Representing the value of the input voltage at the sampling time k, theta (k) representing the inverse of the load resistance at the sampling time k, iL1(k)、iL2(k) Representing the value of the inductor current sample at the kth sampling instant of each phase, Z (k) representing the difference between the value of the output voltage sample at the kth sampling instant and the input reference value, u1(k)、u2(k) E (0, 1) represents the control input at the kth time of sampling for each phase.
Simplifying expressions (3) and (4) into a unified discrete model expression can result:
Xi＝1，2(k+1)＝AXi(k)+BXi(k)ui(k)+Cui(k)+D (5)
wherein
Figure FDA0003470585530000031
Figure FDA0003470585530000032
7. The adaptive MPC control method of a two-phase interleaved parallel DC-DC converter as claimed in claim 1, wherein in step 4, the reference value of the inductor current is expressed as follows:
Figure FDA0003470585530000033
based on the discrete mathematical model (5) of the system, a system optimization objective cost function is constructed as follows:
Figure FDA0003470585530000034
wherein the content of the first and second substances,
Figure FDA0003470585530000035
is a reference value for the state variable,
Figure FDA0003470585530000036
which is a difference value of the controller,
Figure FDA0003470585530000037
as an ideal value for the controller, vector PcIs the weight of the error of the inductor current and the error of the output capacitor, and gamma is the controller uiThe weight of (c).
8. The optimized target cost function (6) of the system according to claim 7, characterized by J when k → ∞ according tou(Xi(k+1)，ui *)-Ju(Xi(k)，ui) Less than or equal to 0 to obtain PcNeed to satisfy Pc-(A+Bui *)TPc(A+Bui *) Not less than 0, the purpose is to pass the average value u of the controlleriSo that the value of the cost function tends to be minimal.
9. The adaptive MPC control method for a two-phase interleaved parallel DC-DC converter as claimed in claim 1, wherein in step 5, based on an optimized target cost function (6) of the system, the optimal switching state u is selected by selecting a method that minimizes the associated cost functioniThe following can be obtained:
Figure FDA0003470585530000041
c1(Xi(k+1))＝AXi(k)+D-Xi *
c2(Xi(k+1))＝BXi(k)+C
wherein, gamma and u*、Pc、Xi *Is a known constant and is required to satisfy gamma > 0 and Pc＞0、c1(Xi(k+1))、c2(Xi(k +1)) is an intermediate variable.
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Cited By (3)

* Cited by examiner, † Cited by third party
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CN115149806A (en) * 2022-06-21 2022-10-04 西北工业大学 Adaptive model prediction control method for interleaved parallel Boost converters
CN115933647A (en) * 2022-11-24 2023-04-07 汕头大学 OMR track tracking control method based on composite control algorithm and storage medium
CN116436300A (en) * 2023-06-14 2023-07-14 佛山仙湖实验室 Control method and system of DC-DC converter based on back-stepping supercoiled

Cited By (6)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN115149806A (en) * 2022-06-21 2022-10-04 西北工业大学 Adaptive model prediction control method for interleaved parallel Boost converters
CN115149806B (en) * 2022-06-21 2024-03-12 西北工业大学 Adaptive model prediction control method for staggered parallel Boost converter
CN115933647A (en) * 2022-11-24 2023-04-07 汕头大学 OMR track tracking control method based on composite control algorithm and storage medium
CN115933647B (en) * 2022-11-24 2023-09-01 汕头大学 OMR track tracking control method based on composite control algorithm and storage medium
CN116436300A (en) * 2023-06-14 2023-07-14 佛山仙湖实验室 Control method and system of DC-DC converter based on back-stepping supercoiled
CN116436300B (en) * 2023-06-14 2023-08-22 佛山仙湖实验室 Control method and system of DC-DC converter based on back-stepping supercoiled

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