Existence, stability and robustness analysis of limit cycles in hybrid anti-lock braking systems

Existence, stability and robustness analysis of limit cycles in hybrid anti-lock braking systems. Tanelli, M., Osorio, G., di Bernardo, M., Savaresi, S. M., & Astolfi, A. INTERNATIONAL JOURNAL OF CONTROL, 82(4):659-678, TAYLOR \& FRANCIS LTD, 4 PARK SQUARE, MILTON PARK, ABINGDON OX14 4RN, OXON, ENGLAND, 2009.

Paper doi abstract bibtex

We investigate the stability and robustness properties of anti-lock braking systems (ABS) based on actuators with on/off dynamics. Namely, we propose a hybrid ABS controller which gives rise to an asymptotically stable limit cycle on the wheel slip. The proposed approach allows to derive exact information on the maximum allowable uncertainty in the measured variables which guarantee the cycle stability. Moreover, a structural stability analysis is performed with respect to different road conditions and to the actuator rate limit.

@article{ ISI:000264334700005,
  author = {Tanelli, Mara and Osorio, Gustavo and di Bernardo, Mario and Savaresi,
   Sergio M. and Astolfi, Alessandro},
  title = {{Existence, stability and robustness analysis of limit cycles in hybrid
   anti-lock braking systems}},
  journal = {{INTERNATIONAL JOURNAL OF CONTROL}},
  year = {{2009}},
  volume = {{82}},
  number = {{4}},
  pages = {{659-678}},
  abstract = {{We investigate the stability and robustness properties of anti-lock
   braking systems (ABS) based on actuators with on/off dynamics. Namely,
   we propose a hybrid ABS controller which gives rise to an asymptotically
   stable limit cycle on the wheel slip. The proposed approach allows to
   derive exact information on the maximum allowable uncertainty in the
   measured variables which guarantee the cycle stability. Moreover, a
   structural stability analysis is performed with respect to different
   road conditions and to the actuator rate limit.}},
  publisher = {{TAYLOR \& FRANCIS LTD}},
  address = {{4 PARK SQUARE, MILTON PARK, ABINGDON OX14 4RN, OXON, ENGLAND}},
  type = {{Article}},
  language = {{English}},
  affiliation = {{Tanelli, M (Reprint Author), Politecn Milan, Dipartimento Elettron \& Informaz, I-20133 Milan, Italy.
   Tanelli, Mara; Savaresi, Sergio M., Politecn Milan, Dipartimento Elettron \& Informaz, I-20133 Milan, Italy.
   Osorio, Gustavo; di Bernardo, Mario, Univ Naples Federico II, Dipartimento Informat \& Sistemist, Naples, Italy.
   Tanelli, Mara, Univ Bergamo, Dipartimento Ingn Informaz \& Metodi Matemat, Dalmine, BG, Italy.
   di Bernardo, Mario, Univ Bristol, Dept Engn Math, Bristol, Avon, England.
   Astolfi, Alessandro, Univ Roma Tor Vergata, Dipartimento Informat Sistemi \& Prod, Rome, Italy.
   Astolfi, Alessandro, Univ London Imperial Coll Sci Technol \& Med, Dept Elect \& Elect Engn, London, England.
   Osorio, Gustavo, Univ Nacl Colombia, Dept Ingn Elect Elect \& Computac, Manizales, Colombia.}},
  doi = {{10.1080/00207170802203598}},
  url = {http://dx.doi.org/10.1080/00207170802203598},
  issn = {switch},
  keywords = {{vehicle dynamics; automotive control; limit cycles; hybrid systems;
   non-smooth dynamics}},
  keywords-plus = {{FEEDBACK-SYSTEMS; VEHICLE; BIFURCATIONS; TRACTION; VELOCITY}},
  research-areas = {{Automation \& Control Systems}},
  web-of-science-categories = {{Automation \& Control Systems}},
  author-email = {{tanelli@elet.polimi.it}},
  researcherid-numbers = {{di Bernardo, Mario/I-2805-2012}},
  funding-acknowledgement = {{MIUR project `Identification and Adaptive Control of industrial
   systems'; MIUR project `Advanced Methodologies for Control of Hybrid
   Systems'; EU project SICONOS {[}IST-31712]}},
  funding-text = {{The authors acknowledge the support by MIUR project `Identification and
   Adaptive Control of industrial systems', MIUR project `Advanced
   Methodologies for Control of Hybrid Systems' and EU project SICONOS
   IST-31712.}},
  number-of-cited-references = {{45}},
  times-cited = {{8}},
  journal-iso = {{Int. J. Control}},
  doc-delivery-number = {{421CE}},
  unique-id = {{ISI:000264334700005}}
}

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