158
Views
6
CrossRef citations to date
0
Altmetric
Original Articles

Observability analysis and state observers for automotive powertrains with backlash: a hybrid system approach

&
Pages 496-507 | Received 19 May 2005, Accepted 15 Nov 2005, Published online: 20 Feb 2007

References

  • Alessandri , A and Coletta , P . 2001 . “ Design of Luenberger observers for a class of hybrid linear systems ” . In Proc. 4th International Workshop on Hybrid Systems: Computation and Control, volume 2034 of Lecture Notes in Computer Science , Edited by: Di Benedetto , MD and Sangiovanni-Vincentelli , A . 7 – 18 . London : Springer-Verlag .
  • Babaali , M and Egersted , M . On the observability of piecewise linear systems . Proc. 43rd IEEE Conference on Decision and Control . pp. 26 – 31 . Paradise Island : Bahamas .
  • Balluchi , A , Benvenuti , L , Di Benedetto , MD and Sangiovanni-Vincentelli , AL . A hybrid observer for the driveline dynamics . Proc. 6th European Control Conference . pp. 618 – 623 . Porto, Portugal .
  • Bemporad , A , Ferrari-Trecate , G and Morari , M . 2000 . Observability and controllability of piecewise affine and Hybrid systems . IEEE Trans. on Autom. Control , 45 : 1864 – 1876 .
  • Feng , G . 2003 . Observer based output feedback controller design of piecewise discrete time linear systems . IEEE Trans. Circuits and Systems, I , 50 : 448 – 451 .
  • Ferrari-Trecate , G , Mignone , D and Morari , M . 2002 . Moving horizon estimation for hybrid systems . IEEE Trans. Autom. Contr. , 47 : 1663 – 1676 .
  • Ferrari-Trecate , G and Gati , M . Computation of observability regions for discrete time hybrid systems . Proc. 42nd IEEE Conference on Decision and Control . pp. 1153 – 1158 . Maui, Hawaii, , USA
  • Gati , M and Ferrari-Trecate , G . Computation of observability regions for piecewise affine systems: A projection-based algorithm . 44th IEEE Conference on Decision and Control . pp. 6922 – 6927 . Spain : Saville .
  • Geyer , T , Torrisi , G and Morari , M . 2003 . “ Efficient mode enumeration of compositional hybrid models ” . In Hybrid Systems: Computation and Control, Lecture Notes in Computer Science , Edited by: Maler , O and Pnueli , A . Vol. 2623 , 216 – 232 . London, , UK : Springer Verlag .
  • Hespanha , J , Liberzon , D and Sontag , ED . Nonlinear observability and an invariance principle for switched systems, . Proc. 41st IEEE Conference on Decision and Control . pp. 4300 – 4305 . Las Vegas, NV, , USA
  • Kiencke , U and Nielsen , L . 2000 . Automotive Control Systems for Engine, Driveline, and Vehicle , Heidelberg, Berlin : Springer Verlag .
  • Kvasnica , M , Grieder , P , Baotić , M and Morari , M . 2004 . “ Multi Parametric Toolbox (MPT) ” . In Hybrid Systems: Computation and Control, 7th International Workshop, HSCC,of Lecture Notes in Computer Science 448 – 462 . Philadelphia, , , USA New York: Springer 2004 volume 2993Verlag, March 2004. http://control.ee.ethz.ch/~mpt
  • Lagerberg , A and Egardt , B . Backlash gap estimation in automotive powertrains . Proc. 8th European Control Conference . Cambridge, , UK
  • Lagerberg , A and Egardt , B . Estimation of backlash with application to automotive powertrains . Proc. 42nd IEEE Conference on Decision and Control . pp. 4521 – 4526 . Maui, Hawaii, , USA
  • Lagerberg , A . 2004 . “ Control and estimation of automotive powertrains with backlash ” . In PhD thesis , Sweden : Chamlers University of Technology .
  • Nordin , M and Gutman , PO . 2002 . Controlling mechanical systems with backlash – a survey . Automatica , 38 : 1633 – 1649 .
  • Rakovic , SV , Kerrigan , EC and Mayne , DQ . Reachability computations for constrained discrete-time systems with state- and input-dependent disturbances . Proc. 42nd IEEE Conference on Decision and Control . December . Maui, Hawaii, , USA
  • Sontag , ED . 1981 . Nonlinear regulation: The piecewise linear approach . IEEE Trans. on Autom. Control , 26 ( 2 ) : 346 – 358 .
  • Sontag , ED . 1982 . Remarks on piecewise-linear algebra . Pacific Journal of Mathematics , 98 ( 1 ) : 183 – 201 .
  • Sontag , ED . 1998 . Mathematical Control Theory: Deterministic Finite Dimensional Systems, , 2nd ed. , New York : Springer .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.