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International Journal of Control Volume 82, 2009 - Issue 4
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Original Articles

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

Mara Tanelli Dipartimento di Elettronica e Informazione, Politecnico di Milano, Milano, Italy; Dipartimento di Ingegneria dell'Informazione e Metodi Matematici, Universitá degli studi di Bergamo, Dalmine (BG), ItalyCorrespondence[email protected]
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Gustavo Osorio Dipartimento di Informatica e Sistemistica, Universitá di Napoli, Napoli, Italy; Departamento de Ingenieria Eléctrica, Electrónica y Computación, Universidad Nacional de Colombia Sede Manizales, Manizales, Colombia, SA
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Mario di Bernardo Dipartimento di Informatica e Sistemistica, Universitá di Napoli, Napoli, Italy; Department of Engineering Mathematics, University of Bristol, Bristol, UK
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Sergio M. Savaresi Dipartimento di Elettronica e Informazione, Politecnico di Milano, Milano, Italy
&
Alessandro Astolfi Department of Electrical and Electronic Engineering, Imperial College London, London, UK; Dipartimento di Informatica, Sistemi e Produzione, Universitá di Roma Tor Vergata, Roma, Italy
Pages 659-678 | Received 10 Sep 2007, Accepted 14 May 2008, Published online: 18 Mar 2009

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S. Klug, A. Moia, A. Verhagen, D. Görges & S. Savaresi. (2021) The influence of bicycle fork bending on brake control. Vehicle System Dynamics 59:3, pages 375-395.
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Mohammed Benmiloud, Atallah Benalia, Mohamed Djemai & Michael Defoort. (2018) Hybrid control design for limit cycle stabilisation of planar switched systems. International Journal of Control 91:7, pages 1720-1729.
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Thomas Köppen, Tassilo Küpper & Oleg Makarenkov. (2017) Existence and stability of limit cycles in control of anti-lock braking systems with two boundaries via perturbation theory. International Journal of Control 90:5, pages 974-989.
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Xiangwen Zhang, Yong Xu, Ming Pan & Fenghua Ren. (2014) A vehicle ABS adaptive sliding-mode control algorithm based on the vehicle velocity estimation and tyre/road friction coefficient estimations. Vehicle System Dynamics 52:4, pages 475-503.
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Articles from other publishers (29)

Ning BAI, Xiaochao LIU, Juefei LI, Zhuangzhuang WANG, Pengyuan QI, Yaoxing SHANG & Zongxia JIAO. (2024) An aircraft brake control algorithm with torque compensation based on RBF neural network. Chinese Journal of Aeronautics 37:1, pages 438-450.
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Zongxia Jiao, Ning Bai, Dong Sun, Xiaochao Liu, Juefei Li, Yong Shi, Yanze Hou & Chong Chen. (2023) Aircraft Anti-skid Braking Control Based on Reinforcement Learning. IEEE Transactions on Aerospace and Electronic Systems 59:6, pages 9219-9232.
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José Joaquín Mendoza Lopetegui, Gianluca Papa, Marco Morandini & Mara Tanelli. (2023) Data-Driven Modeling and Regulation of Aircraft Brakes Degradation via Antiskid Controllers. IEEE Transactions on Reliability 72:3, pages 889-899.
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Shuaiwei Zhu, Xiaobin Fan, Gengxin Qi & Pan Wang. (2023) Review of Control Algorithms of Vehicle Anti-lock Braking System. Recent Patents on Engineering 17:2.
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Tao Li & Jaume Llibre. (2023) Limit cycles in piecewise polynomial Hamiltonian systems allowing nonlinear switching boundaries. Journal of Differential Equations 344, pages 405-438.
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Giorgio Riva, Simone Formentin, Matteo Corno & Sergio M. Savaresi. (2022) Model Predictive Control of High-Performance Braking Systems: A Force-Based Approach. IEEE Control Systems Letters 6, pages 2383-2388.
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Gianluca Papa, Mara Tanelli, Giulio Panzani & Sergio M. Savaresi. (2021) Wheel-slip estimation for advanced braking controllers in aircraft: Model based vs. black-box approaches. Control Engineering Practice 117, pages 104950.
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Zixiang Zhao & Xiaobin Fan. (2021) Review of Vehicle Active Safety Systems and Their Coordinated Control. Recent Patents on Mechanical Engineering 14:1, pages 4-17.
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Jiaxu Zhang & Shiying Zhou. (2020) Robust adaptive anti-windup wheel slip tracking control for intelligent vehicle with fast terminal sliding mode observer. Proceedings of the Institution of Mechanical Engineers, Part D: Journal of Automobile Engineering 234:14, pages 3373-3384.
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Jiaxu Zhang, Zhengtang Shi, Xiong Yang & Jian Zhao. (2020) Robust adaptive control for continuous wheel slip rate tracking of vehicle with state observer. Measurement and Control 53:7-8, pages 1331-1341.
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Jiaxu Zhang, Shiying Zhou & Jian Zhao. (2020) Nonlinear robust wheel slip rate tracking control for autonomous vehicle with actuator dynamics. Advances in Mechanical Engineering 12:6, pages 168781402092522.
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Oleg Makarenkov. (2019) Bifurcation of limit cycles from a switched equilibrium in planar switched systems. Journal of the Franklin Institute 356:12, pages 6419-6432.
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Jiaxu Zhang & Jing Li. (2018) Adaptive backstepping sliding mode control for wheel slip tracking of vehicle with uncertainty observer. Measurement and Control 51:9-10, pages 396-405.
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L. DrAvico, M. Tanelli & S.M. Savaresia. (2018) Experimental validation of landing-gear dynamics for anti-skid control design. Experimental validation of landing-gear dynamics for anti-skid control design.
L. D’Avico, M. Tanelli, S.M. Savaresi, M. Airoldi & G. Rapicano. (2017) A deceleration-based algorithm for anti-skid control of aircraft. IFAC-PapersOnLine 50:1, pages 14168-14173.
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Mohammadali Aghakhani Lonbani, Marco Morandini, Paolo Astori & Gianluca Ghiringhelli. (2017) Anti-skid braking control system design for aircraft: Multi-phase schemes approach. Anti-skid braking control system design for aircraft: Multi-phase schemes approach.
P. Kowalczyk. (2017) A novel route to a Hopf bifurcation scenario in switched systems with dead-zone. Physica D: Nonlinear Phenomena 348, pages 60-66.
Crossref
Oleg Makarenkov. (2017) Bifurcation of Limit Cycles from a Fold-Fold Singularity in Planar Switched Systems. SIAM Journal on Applied Dynamical Systems 16:3, pages 1340-1371.
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D. J. W. Simpson & R. Kuske. (2015) Stochastic Perturbations of Periodic Orbits with Sliding. Journal of Nonlinear Science 25:4, pages 967-1014.
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Mustafa Ali Arat & Saied Taheri. Identification of Road Surface Friction for Vehicle Safety Systems. Identification of Road Surface Friction for Vehicle Safety Systems.
D. J. W. Simpson & R. Kuske. (2014) Stochastically perturbed sliding motion in piecewise-smooth systems. Discrete & Continuous Dynamical Systems - B 19:9, pages 2889-2913.
Crossref
Velimir Ćirović & Dragan Aleksendrić. (2013) Adaptive neuro-fuzzy wheel slip control. Expert Systems with Applications 40:13, pages 5197-5209.
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Ricardo de Castro, Rui Esteves Araujo & Diamantino Freitas. (2013) Wheel Slip Control of EVs Based on Sliding Mode Technique With Conditional Integrators. IEEE Transactions on Industrial Electronics 60:8, pages 3256-3271.
Crossref
Velimir Ćirović, Dragan Aleksendrić & Dušan Smiljanić. (2013) Longitudinal wheel slip control using dynamic neural networks. Mechatronics 23:1, pages 135-146.
Crossref
Oleg Makarenkov & Jeroen S.W. Lamb. (2012) Dynamics and bifurcations of nonsmooth systems: A survey. Physica D: Nonlinear Phenomena 241:22, pages 1826-1844.
Crossref
William Pasillas-Lépine, Antonio Loría & Mathieu Gerard. (2012) Design and experimental validation of a nonlinear wheel slip control algorithm. Automatica 48:8, pages 1852-1859.
Crossref
Houhua Jing, Zhiyuan Liu & Hong Chen. (2011) A Switched Control Strategy for Antilock Braking System With On/Off Valves. IEEE Transactions on Vehicular Technology 60:4, pages 1470-1484.
Crossref
Andrea Dardanelli, Giovanni Alli & Sergio M. Savaresi. (2010) Modeling and control of an electro-***mechanical brake-by-wire actuator for a sport motorbike. IFAC Proceedings Volumes 43:18, pages 524-531.
Crossref
. (2009) Robust and nonlinear control literature survey (No. 13). International Journal of Robust and Nonlinear Control 19:12, pages 1401-1404.
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