using the manufactured part enclosed transducers to control the automotive engine’s way of working

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    USING THE MANUFACTURED PART ENCLOSED TRANSDUCERS

    TO CONTROL THE AUTOMOTIVE ENGINES WAY OF WORKING

    Univ. Prof. eng. Ion COPAE PhDMilitary Technical Academy, Bucharest, email: [email protected]

    Abstract: The paper underlines the necessity of implementing specialized transducers

    as components of the manufactured parts that could provide real-time information

    concerning the working process of the technical processes, especially for the automobiles. It

    is also underlined that modern technique and technologies provide normal working

    conditions, satisfying all the inquired demands, even under the conditions of manufacturing

    lack of accuracy, mounting, tuning and maintenance, due to the electronic control of the

    incorporated transducers. Some examples of functional interactions are presented, using the

    experimental data got during testing a car. It is also underlined the necessity of a minimal set

    of transducers and executive devices that should allow a working regime within the imposed

    conditions taking into account the normal wear of the system.

    Keywords: automotive; fault tolerant control; engine control.

    The nowadays technical systems are featured by a high structural complexity, due to

    the necessity to satisfy some every moment more severe demands. Therefore a higher

    functional complexity appears, due to the fact the system is controllable and observable. Asseen in fig. 1, the assembly made of the system and the controller is featured by internal

    amounts, outside variables, commands and amounts that ensure a real time diagnose. To

    fulfill these requests, the system is equipped with transducers and executive devices as shown

    in fig. 2, that assure among others, a model-based diagnose [1].

    Fig. 1 Electronically controlled system

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    Fig. 2 Electronically controlled system

    To the present, up-to-date, electronically controlled systems, the real-time diagnose

    became a very important issue, hence the built-in transducers role considerably increased.

    These solutions assure the systems work even in faulty conditions. For this reason, this kind

    of solution was named as fault tolerant control (FTC) and its flowchart is depicted in fig. 3.

    Fig. 3 Fault Tolerant Control (FTC)

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    Should be said that, as the electronic control accepts the term, the fault means a

    deviation of the monitored amount from its known (enforced) nominal value (when lack of

    malfunction). As seen in fig. 3, the diagnose process of the system is placed before the

    control. Therefore, the on-board computer issues control commands and based on the

    diagnose process accordingly. Also, fig. 3 shows that FTC operates in the presence of some

    of the systems components faults, at its executive devices and built-in transducers as well.Among the complex technical systems, the electronically controlled working process

    of a passenger car is a good example. To the present, up-to-date solutions, the electronic

    control works not only for the engine but for other elements such as the suspension,

    transmission, steering system, braking system, traction and so on. Such a control can be seen

    in fig. 4.

    Fig. 4 FTC strategy for Buick Le Sabre passenger car

    The gasoline injection engine has a lot of built-in transducers as well as executive

    devices that assure the working control and the diagnose process. As an example, fig. 5 and 6

    depict the time histories of the mentioned amounts for an OPEL Vectra B passenger car [2].

    Fig. 5 Experimental results

    To locate the faults, several identification procedures are available. For instance, to

    locate a fault, a time-frequency analysis using the Stockwell Transform of the data providedby the on-board computer can be performed as seen in fig. 7b.

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    Fig. 7 presents the case of the intended fault of the lambda transducer on B areas.

    From the chart one could notice the presence of different spectral images on the areas A, C

    andD where the transducer worked.

    Fig. 6 Experimental results

    Fig. 7 Time-frequency analysis

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    When model-based diagnose involved, the detection of the faults is based on the

    generating the residual, as seen in fig. 4. In the simplest case the residual represents the

    difference between the checked experimental amount and the one obtained from the

    mathematical model that was established on the basis of the data provided by the on-board

    computer [3, 4].

    As resulted from fig. 8, generating the residual r(t) requests the transfer function GandHwritten in Laplace images, as well as equations (1) and (2). The scheme contains the

    command amount u(t) the tuned amounty(t) and the faultf(t). If fault exists, then the residual

    was not zero and so was its transfer function, as resulting from expression (3).

    Fig. 8 Generating the residual

    Since the on-board computer provides the values of the monitored amounts one couldset the mathematical model and the fault detection based on these data [5]. For example, the

    mathematical model of the working process when lack of faults is considered, as known from

    all the references is given as:

    ( ) ( ) ( )

    ( ) ( ) ( )

    x t Ax t Bu t

    y t Cx t Du t

    (4)

    and the working process when faults occur is given by the differential equations system:

    ( )( ) ( ) ( ) ( )

    ( ) ( ) ( )) (

    a

    s

    x t A x t B u t

    y t Cx t Du t

    A

    f t

    f t

    )

    (5)

    In the equations of system (5), which give a mathematical algorithm in the continuous

    domain, the components faults A, actuators faultsfa(t) and transducers faultsfs(t) have been

    considered as additional type ones.

    In the same manner, the mathematical algorithm within the discrete domain is given

    by:

    ( 1) ( ) ( ) (

    ( ) ( ) ( )

    a

    s s a

    x k A x k B u

    y k Cx k D u

    A S

    S S S t

    k(6)

    where Sa and Ss represents the matrices of the actuators and transducers faults, settled by:

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    k diag{ } , 1... ; diag{ } , 1... ;0 1; 0 1i k ia a s a a aS s i m S s k p s s (7)

    considering m actuators and p transducers.

    If, for instance sa2=0.9 and ss

    3=0.8, this means the executive device no. 2 (indicated)

    has a 10% failure while transducer 3 (known) has a 20% failure.

    Fig. 9 depicts the apparition of a fault at the air bulk transducer that can be seen bothin the dynamic serial of the air consumption per hour (fig. 9a) and by applying the Stockwell

    Transform (fig. 9d).

    Fig. 9 Fault detection

    Eventually, should be mentioned that the minimal number of necessary transducers

    results from the conditions that define the analytical redundancy.

    References:1. Nyberg M.Model Based Fault Diagnosis. Methods, Theory and Automotive Engine

    Applications. Thesis, Linkoping, Sweden, 1999

    2. Copae I. Car Dynamics. Theory and Experimental Research, Military Technical

    Academy, Bucharest, 2003

    3. Frisk E. Model-based Fault Diagnosis applied to an SI Engine. Master Thesis,

    Linkoping, Sweden, 1996

    4. Frisk E. Residual Generation for Fault Diagnosis: Nominal and Robust Design.

    Dissertation, Linkoping, Sweden, 1998

    5. Kanev S. Simultaneous Sensor and Actuator Fault Isolation Given Input/Output

    Data. University of Twente, Twente, Netherlands, http://www.sce.tn.utwente.nl, 2001