IDEAS home Printed from https://ideas.repec.org/p/aeg/wpaper/2012-1.html
   My bibliography  Save this paper

The Design of dynamical observers for hybrid systems: Theory and Application to an Automotive Control Problem

Author

Listed:
  • Andrea Balluchi

    () (Pure Power Control Navacchio di Cascina (PI))

  • Luca Benvenuti

    () (Dipartimento di Informatica e Sistemistica "Antonio Ruberti" Sapienza, Universita' di Roma)

  • Maria D. Di Benedetto

    () (DIEL Università dell’Aquila)

  • Alberto L. Sangiovanni–Vincentelli

    () (EECS Dept., University of California at Berkeley,)

Abstract

A design methodology is presented for dynamical observers of hybrid systems with linear continuous-time dynamics that reconstruct the complete state (discrete location and continuous state) from the knowledge of the inputs and outputs of a hybrid plant. Given a current-location observable living hybrid system with minimum dwell-time, we prove that exponential ultimate boundedness for an hybrid observer can always be achieved. We also prove that the observer correctly identifies (apart from an initial finite number of transitions) the sequence of hybrid system locations even when the complementary outputs are generated with some delay with respect to the corresponding transitions in the plant.We then present the application of the theory to the problem of on–line identification of the actual engaged gear for a car, an important contribution. The relevance of this problem is related to engine control strategies achieving high performance and efficient emissions control which depend critically on the knowledge of the engaged gear. The performance of the observer was tested with (real and not simulated) experimental data obtained in Magneti Marelli Powertrain using an Opel Astra equipped with a Diesel engine and a robotized gearbox SeleSpeed.

Suggested Citation

  • Andrea Balluchi & Luca Benvenuti & Maria D. Di Benedetto & Alberto L. Sangiovanni–Vincentelli, 2012. "The Design of dynamical observers for hybrid systems: Theory and Application to an Automotive Control Problem," DIS Technical Reports 2012-01, Department of Computer, Control and Management Engineering, Universita' degli Studi di Roma "La Sapienza".
  • Handle: RePEc:aeg:wpaper:2012-1
    as

    Download full text from publisher

    File URL: http://www.dis.uniroma1.it/~bibdis/RePEc/aeg/wpaper/2012-01.pdf
    File Function: First version, 2012
    Download Restriction: no

    More about this item

    Keywords

    Mixed integer programming; Concave penalty functions; Frank-Wolfe algorithm; Feasibility Problem;

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:aeg:wpaper:2012-1. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Antonietta Angelica Zucconi). General contact details of provider: http://edirc.repec.org/data/dirosit.html .

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.