Disclosure of Invention
The invention aims to provide an observer-based anti-interference fault-tolerant control method for a gas path of a supercharged diesel engine, which can inhibit the interference effect caused by the temperature change of the gas path inlet and outlet manifolds of the supercharged diesel engine and still ensure the tracking control of the pressure reference value of the gas path inlet and outlet manifolds under the condition of partial failure and constant deviation fault of an EGR valve and VGT guide vanes.
The purpose of the invention is realized as follows:
the invention discloses an observer-based anti-interference fault-tolerant control method for a gas circuit of a supercharged diesel engine, which is characterized by comprising the following steps of:
(1) considering the interference generated by the temperature change of an air inlet manifold and an air outlet manifold of a supercharged diesel engine air passage and the faults of an EGR valve and a VGT guide blade, and establishing a supercharged diesel engine air passage system dynamic model;
(2) designing an interference observer according to the supercharged diesel engine gas path system dynamic model in the step (1) for estimating interference introduced by temperature change of an intake manifold and an exhaust manifold;
(3) and (3) designing a gas path fault-tolerant controller of the supercharged diesel engine by adopting a self-adaptive technology and an integral sliding mode method, and compensating system disturbance by using the interference estimation value obtained by the observer in the step (2) to realize the anti-interference and fault-tolerant capability of the system.
The present invention may further comprise:
1. the method comprises the following steps of (1) considering the interference generated by the temperature change of an air inlet manifold and an air outlet manifold of a supercharged diesel engine air passage and the faults of an EGR valve and a VGT guide vane, and establishing a supercharged diesel engine air passage system dynamic model, wherein the specific process is as follows:
the average value model of the supercharged diesel engine gas circuit system is as follows:
wherein p is
1Representing intake manifold pressure, p
2Indicating exhaust manifold pressure, P
cIndicating compressor power, T
1Is intake manifold temperature, T
2Is the exhaust manifold temperature, W
egrFor gas flow through EGR valve, W
tFor gas flow through a variable-geometry turbine, W
fIs the amount of fuel injection, η
mFor turbomachine efficiency, τ is the time constant derived from the identification, k
1、k
2、k
eK is a parameter derived from the operating conditions of the diesel engine
1=R
aT
1/V
1、k
e=η
vNV
d/R
aT
1、k
2=R
aT
2/V
2,R
aIs a gas constant, V
dIs the cylinder volume, V, of a diesel engine
1Is the intake manifold volume, V
2Is the exhaust manifold volume, η
vThe charging efficiency of the diesel engine is shown, N is the rotating speed of the diesel engine,
the flow rate of the air compressor is used,
is turbine power, k
t=η
tc
pT
2,c
pIs the isobaric specific heat capacity of the gas,
gamma 1.4 is the air specific heat ratio, eta
cFor compressor isentropic efficiency, η
tIsentropic efficiency for turbines;
the working point W is referred to according to the relationship between the flow rate of the compressor and the pressure of the intake manifold
cdIs replaced by
And by controlling the pressure p of the intake and exhaust manifolds in the gas circuit
1And p
2Achieving a control objective;
the supercharged diesel engine takes EGR and VGT as actuators for gas path control, and the input quantity of the gas path control is selected as EGR flow W
egrWith turbine flow W
t,
Respectively representing the interference amount in the intake and exhaust manifold pressure dynamic model caused by the temperature change of the intake and exhaust manifold;
considering partial failure and constant deviation fault of the EGR valve and the VGT guide vanes, modifying a system dynamic model into the following steps:
wherein x is [ p ]1p2Pc]TRepresenting system state variables and control input quantity u1=Wegr,u2=Wt;
To describe the actuator failure, note E
1(t)、E
2(t) is an actuator failure factor and satisfies 0 < E
i(t) is less than or equal to 1, i is 1, and 2 respectively refers to an EGR valve and a VGT guide vane; when the ith actuator is not in failure, E
i(t) ═ 1; when partial failure occurs at the i-th actuator, 0 < E
i(t)<1;F
1(t)、F
2(t) represents the unknown bounded constant deviation fault experienced by each actuator, assuming the constant deviation fault norm has an upper bound, i.e.
Functions f (x), g1(x)、g2(x) D is defined as follows:
2. step (2) designing an interference observer according to the supercharged diesel engine gas path system dynamic model in the step (1) for estimating interference introduced by temperature change of an intake manifold and an exhaust manifold, wherein the specific process is as follows:
during the operation of the diesel engine, the expected intake and exhaust manifold pressures are respectively pd1、pd2Indicating, correspondingly, the pressure tracking error s1=p1-pd1、s2=p2-pd2S ═ s1s2]T、p=[p1p2]T、pd=[p1dp2d]T;
According to the formula
Obtaining:
wherein u ═ u1u2]TRepresents a control amount, f*(x)、g*(x)、E*(t) and F*(t) are each defined as
In order to estimate the interference d caused by the temperature change of an intake manifold and an exhaust manifold in a gas path of the supercharged diesel engine, the following interference observer is provided:
wherein the content of the first and second substances,
represents the observed value of disturbance d, z is an auxiliary variable, k
0For adjustable observation gain, κ
0Is a positive number.
3. Step (3) adopts a self-adaptive technology and an integral sliding mode method to design a supercharged diesel engine gas path fault-tolerant controller, and utilizes the interference estimation value obtained by the observer in step (2) to compensate system disturbance, thereby realizing the anti-interference and fault-tolerant capability of the system, and the specific process is as follows:
the design of the anti-interference fault-tolerant controller for the gas circuit of the supercharged diesel engine is as follows:
uFTC=uh+uf
uf=-ζg*(x)-1sgn(σ(t))
wherein u is
hAnd u
fRespectively representing a nominal control quantity and a fault-tolerant control quantity, and a time-varying control gain zeta is defined as
Is calculated on line by the adaptive parameter updating law,
ε>0;
represents an estimate of the introduced auxiliary variable phi 1/1-eta in dependence on the failure factor and defines E
*||
min1/eta, estimating phi on line by an adaptive method, and designing an adaptive parameter updating law as
Beta is more than 0 and is an adjustable parameter; fault tolerant control u
fIn (d), σ (t) represents an integral sliding mode variable
t
0Is the system start time.
The invention has the advantages that: the invention has good fault tolerance for partial failure faults and constant deviation faults of an EGR valve and a VGT guide vane in a gas path of a supercharged diesel engine due to long-term use, and can compensate system interference caused by temperature change of an intake manifold and an exhaust manifold. In addition, the controller designed by adopting the integral sliding mode theory has the advantage of insensitivity to working condition change, and can inhibit interference when the controller starts to act, so that the system robustness is improved.
Detailed Description
The invention will now be described in more detail by way of example with reference to the accompanying drawings in which:
with reference to fig. 1-3, the invention relates to an observer-based anti-interference fault-tolerant control method for a gas circuit of a supercharged diesel engine, which comprises the following implementation steps:
step one, considering the interference generated by the temperature change of an air inlet manifold and an air outlet manifold of a supercharged diesel engine air passage and the possible faults of an EGR valve and a VGT guide blade, establishing a supercharged diesel engine air passage system dynamic model:
the average value model of the supercharged diesel engine gas circuit system is as follows:
wherein p is
1Representing intake manifold pressure, p
2To representExhaust manifold pressure, P
cIndicating compressor power, T
1Is intake manifold temperature, T
2Is the exhaust manifold temperature, W
egrFor gas flow through EGR valve, W
tFor gas flow through a variable-geometry turbine, W
fIs the amount of fuel injection, η
mFor turbomachine efficiency, τ is the time constant derived from the identification, k
1、k
2、k
eK is a parameter derived from the operating conditions of the diesel engine
1=R
aT
1/V
1、k
e=η
vNV
d/R
aT
1、k
2=R
aT
2/V
2,R
aIs a gas constant, V
dIs the cylinder volume, V, of a diesel engine
1Is the intake manifold volume, V
2Is the exhaust manifold volume, η
vThe charging efficiency of the diesel engine is shown, N is the rotating speed of the diesel engine,
the flow rate of the air compressor is used,
is turbine power, k
t=η
tc
pT
2,c
pIs the isobaric specific heat capacity of the gas,
gamma 1.4 is the air specific heat ratio, eta
cFor compressor isentropic efficiency, η
tIs the turbine isentropic efficiency.
For supercharged diesel engines, the compressor flow W
cAnd exhaust manifold pressure p
2Influencing the air flow into the diesel engine and the EGR rate, W can be
cAnd p
2As system state variables. In practice, however, to avoid calculating W
cAnd its reference working point W
cdWill refer to the operating point W based on the relationship between compressor flow and intake manifold pressure
cdIs replaced by
And by controlling the pressure p of the intake and exhaust manifolds in the gas circuit
1And p
2The control objective is achieved. The supercharged diesel engine takes EGR and VGT as actuators for gas path control, so the input quantity of the gas path control is selected as EGR flow W
egrWith turbine flow W
t. In formulae (1) to (3)
Respectively, represent the amount of disturbance in the intake and exhaust manifold pressure dynamics model due to intake and exhaust manifold temperature changes.
Considering partial failure and constant deviation fault of EGR and VGT, modifying a system dynamic model into:
wherein x is [ p ]1p2Pc]TRepresenting system state variables and control input quantity u1=Wegr,u2=Wt。
To describe the actuator failure, note E
1(t)、E
2(t) is an actuator failure factor and satisfies 0 < E
i(t) 1,
i 1,2 EGR valve and VGT guide vane, respectively. When the ith actuator is not in failure, E
i(t) ═ 1; when partial failure occurs at the i-th actuator, 0 < E
i(t)<1。F
1(t)、F
2(t) represents the unknown bounded constant deviation fault experienced by each actuator, assuming the constant deviation fault norm has an upper bound, i.e.
In formula (4), the functions f (x), g1(x)、g2(x) D is defined as follows:
step two, designing an interference observer according to the supercharged diesel engine gas path dynamic model in the step one, and estimating interference introduced by temperature change of an intake manifold and an exhaust manifold:
during the operation of the diesel engine, the expected intake and exhaust manifold pressures are respectively pd1、pd2Indicating, correspondingly, the pressure tracking error s1=p1-pd1、s2=p2-pd2. For the convenience of controller design, remember s ═ s1s2]T、p=[p1p2]T、pd=[p1dp2d]T。
From equation (4), one can obtain:
wherein u ═ u1u2]TRepresents a control amount, f*(x)、g*(x)、E*(t) and F*(t) is defined as:
in order to estimate the interference d caused by the temperature change of an intake manifold and an exhaust manifold in a gas path of the supercharged diesel engine, the following interference observer is provided:
wherein the content of the first and second substances,
an observed value representing interference d, z being an auxiliary variable, an adjustable observed gain k
0、κ
0Is a positive number.
According toEquation (6), calculating
Second derivative with respect to time:
laplace transformation is performed on the formula (7), and the following results are obtained:
therefore, it can be inferred that when κ
0When the value is large enough, the observer outputs
The observer, which will converge to the true value of d, equation (6), is able to accurately estimate the disturbance caused by intake and exhaust manifold temperature changes.
Thirdly, designing a supercharged diesel engine gas path fault-tolerant controller by adopting a self-adaptive technology and an integral sliding mode method, and compensating system disturbance by using the interference estimation value obtained by the observer in the second step to realize the anti-interference and fault-tolerant capability of the system:
first, consider a boosted diesel engine gas path nominal system that does not contain actuator failures, i.e., systems (1) - (3). The following nominal controller was designed:
constructing a Lyapunov function
And deriving it yields:
it is clear that,
the variable s thus converges asymptotically to zero, i.e., p
1、p
2Respectively converge on p asymptotically
1d、p
2d。
However, the nominal controller (9) can only inhibit the interference of temperature variation inside the system, and in order to further overcome the failures and constant deviation faults of EGR and VGT parts in the gas path of the supercharged diesel engine, a fault-tolerant control algorithm needs to be designed.
Taking the following integral sliding mode variables:
wherein, t0Represents the system start time, and σ (t) is hereinafter referred to as σ.
By deriving σ according to equation (11), we can obtain:
the method is characterized in that an anti-interference fault-tolerant controller of a supercharged diesel engine gas circuit is designed by combining an adaptive parameter identification technology as follows:
uFTC=uh+uf(13)
uf=-γg*(x)-1sgn(σ) (15)
wherein u is
hAnd u
fRespectively representing a nominal control quantity and a fault-tolerant control quantity.
ε is greater than 0. Defining an auxiliary variable phi related to the failure factor, and phi is 1/1-eta, | | E
*||
min1/η. Estimating phi on line by a self-adaptive method, and designing a self-adaptive parameter updating law as follows:
wherein beta is more than 0 and is an adjustable parameter. Noting the parameter estimation error as
Taking the following Lyapunov function, analyzing the stability of the closed-loop system:
the derivative of V is obtained according to equations (12) and (16):
substituting the controllers (13) - (15) into equation (18) then there are:
considering the failure factor definition, it can be known that E*∈[0,1]I.e. | | Δ E*I < 1, so:
it is clear that,
according to V
2The definition of (1) is that | | | σ | | | is equal to L
∞、
By integrating the two ends of the above formula, it can be known that | | | σ | | | belongs to L
2∩L
∞. At the same time, it is easy to prove
Then there are
When σ is 0, it can be seen from equation (12),
i.e. the amount of control caused by actuator failure
Can be represented by-g
*(x)ΔE
*u
hAnd (4) counteracting. Therefore, according to equation (5), there is this time
Equivalent to the nominal system case, and the controller (13) is simplified to
According to pairs
And analysis of its derivative, the intake manifold pressure p is known
1Exhaust manifold pressure p
2Can converge to respective desired values p asymptotically
1d、p
2d。
Example (c):
step one, considering the interference generated by the temperature change of an air inlet manifold and an air outlet manifold of a supercharged diesel engine air passage and the possible faults of an EGR valve and a VGT guide blade, establishing a supercharged diesel engine air passage system dynamic model:
the average value model of the supercharged diesel engine gas circuit system is as follows:
wherein p is
1Representing intake manifold pressure, p
2Indicating exhaust manifold pressure, P
cIndicating compressor power, T
1Is intake manifold temperature, T
2Is the exhaust manifold temperature, W
egrFor gas flow through EGR valve, W
tFor gas flow through a variable-geometry turbine, W
fIs the amount of fuel injection, η
mFor turbomachine efficiency, τ is the time constant derived from the identification, k
1、k
2、k
eK is a parameter derived from the operating conditions of the diesel engine
1=R
aT
1/V
1、k
e=η
vNV
d/R
aT
1、k
2=R
aT
2/V
2,R
aIs a gas constant, V
dIs the cylinder volume, V, of a diesel engine
1Is the intake manifold volume, V
2Is the exhaust manifold volume, η
vThe charging efficiency of the diesel engine is shown, N is the rotating speed of the diesel engine,
the flow rate of the air compressor is used,
W
tis turbine power, k
t=η
tc
pT
2,c
pIs the isobaric specific heat capacity of the gas,
gamma 1.4 is the air specific heat ratio, eta
cFor compressor isentropic efficiency, η
tIs the turbine isentropic efficiency.
For supercharged diesel engines, the compressor flow W
cAnd exhaust manifold pressure p
2Influencing the air flow into the diesel engine and the EGR rate, W can be
cAnd p
2As system state variables. In practice, however, to avoid calculating W
cAnd its reference working point W
cdWill refer to the operating point W based on the relationship between compressor flow and intake manifold pressure
cdIs replaced by
And by controlling the pressure p of the intake and exhaust manifolds in the gas circuit
1And p
2The control objective is achieved. The supercharged diesel engine takes EGR and VGT as actuators for gas path control, so the input quantity of the gas path control is selected as EGR flow W
egrWith turbine flow W
t. In formulae (1) to (3)
Respectively, represent the amount of disturbance in the intake and exhaust manifold pressure dynamics model due to intake and exhaust manifold temperature changes.
Considering partial failure and constant deviation fault of EGR and VGT, modifying a system dynamic model into:
wherein x is [ p ]1p2Pc]TRepresenting system state variables and control input quantity u1=Wegr,u2=Wt。
To describe the actuator failure, note E
1(t)、E
2(t) is an actuator failure factor and satisfies 0 < E
i(t) 1,
i 1,2 EGR valve and VGT guide vane, respectively. When the ith actuator is not in failure, E
i(t) ═ 1; when partial failure occurs at the i-th actuator, 0 < E
i(t)<1。F
1(t)、F
2(t) represents the unknown bounded constant deviation fault experienced by each actuator, assuming the constant deviation fault norm has an upper bound, i.e.
In formula (4), the functions f (x), g1(x)、g2(x) D is defined as follows:
in this example, according to the modeling requirement of supercharged diesel engine gas circuit dynamics model, carry out parameter measurement and parameter processing to relevant quantity in the gas circuit:
V1is the intake manifold volume, V1=0.22m3;
V2Is the exhaust manifold volume, V2=0.2m3;
VdIs the cylinder volume, V, of a diesel engined=0.127m3;
N is the rotation speed of the diesel engine, and N is 1500 rpm;
Tais the outside air temperature, Ta=300K;
RaIs a gas constant, Ra=0.287kJ/kg/K;
T1Is intake manifold temperature, T1=300K;
T2Is the exhaust manifold temperature, T2=693K;
ηvEfficiency of charging of diesel engines, ηv=0.87;
ηtFor turbine isentropic efficiency, ηt=0.76;
ηcFor compressor isentropic efficiency, ηc=0.61;
ηmFor turbo-mechanical efficiency, ηm=0.95;
cpIs the isobaric specific heat capacity of the gas, cp=1.117kJ/kg/K;
Wherein, gamma is 1.4, the air specific heat ratio;
τ is a time constant τ of 0.15 obtained by the recognition.
In summary, the value of each parameter in the supercharged diesel engine gas path dynamic model is k1=391.36、k2=994.46、kt=588.3、ke=0.018、kc=0.0018、ηm=0.95、μ=0.285、τ=0.15。
Step two, designing an interference observer according to the supercharged diesel engine gas path dynamic model in the step one, and estimating interference introduced by temperature change of an intake manifold and an exhaust manifold:
during the operation of the diesel engine, the expected intake and exhaust manifold pressures are respectively pd1、pd2Indicating, correspondingly, the pressure tracking error s1=p1-pd1、s2=p2-pd2. For the convenience of controller design, remember s ═ s1s2]T、p=[p1p2]T、pd=[p1dp2d]T。
Estimating the interference d caused by the temperature change of an intake manifold and an exhaust manifold in the air path of the supercharged diesel engine by adopting the interference observer of the formula (4):
wherein the parameter κ is adjustable0、κ1Respectively is k0=20、κ1=1。
Interference observed value output by formula (5)
Can converge to the true value of d, can be adopted in the controller
The disturbances caused by the intake and exhaust manifold temperature changes are compensated for.
Thirdly, designing a supercharged diesel engine gas path fault-tolerant controller by adopting a self-adaptive technology and an integral sliding mode method, and compensating system disturbance by using the interference estimation value obtained by the observer in the second step to realize the anti-interference and fault-tolerant capability of the system:
the anti-interference fault-tolerant controller of supercharged diesel engine gas circuit is:
uFTC=uh+uf(6)
uf=-ζg*(x)-1sgn(σ(t)) (8)
wherein u is
hAnd u
fRespectively representing a nominal control quantity and a fault-tolerant control quantity. The time-varying control gain ζ is defined as
Is calculated on line by the adaptive parameter updating law,
ε>0。
represents an estimate of the introduced auxiliary
variable phi 1/1-eta in dependence on the failure factor and defines E
*||
min1/η. The phi is estimated on line by an adaptive method, and the designed adaptive parameter updating law is
Beta is more than 0 and is an adjustable parameter. Fault tolerant control u
fIn (d), σ (t) represents an integral sliding mode variable
t
0Is the system start time.
In simulation, a traditional sliding mode variable structure controller (marked as SMC) is compared with an anti-interference fault-tolerant controller (marked as FTC) provided by the patent. The system initial state is set as: p is a radical of1=1.32bar,p2=1.35bar,Pc5.605W. The disturbance caused by the intake and exhaust manifold temperature change is d ═ 0.0002sin (0.05t) 0.0003cos (0.04t)]T. At 25 seconds, a failure factor E is introduced to the EGR valve and VGT vanesiPartial failure fault of (t) ═ 0.8+0.05sin (0.2 π t), constant deviation fault F (t) ═ 0.0003sin (0.05t) 0.0005cos (0.03t)]T。
Based on firewoodObtaining the flow W of the compressor under the actual operation condition of the oil enginecExhaust manifold pressure p2And fuel mass flow WfThe set reference values, as shown in table 1:
TABLE 1 operating state reference values for supercharged diesel engines
In the controllers (6) to (8), the parameter values are respectively taken as
η=0.3、β=1。
The simulation verification result shows that: according to the observer-based supercharged diesel engine gas circuit anti-interference fault-tolerant control method, the observer is used for compensating the interference effect of the temperature change of the gas inlet and outlet manifolds on the system, and the fault-tolerant controller overcomes the possible partial failure fault and constant deviation fault of the EGR valve and the VGT guide vane, so that the stable operation of the system under the fault condition is ensured, and the robustness and the reliability of the supercharged diesel engine gas circuit control are improved.