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

DOI10.1080/00207170802203598zbMath1162.93356OpenAlexW2132525121MaRDI QIDQ3631398

Mara Tanelli, Alessandro Astolfi, Sergio M. Savaresi, Mario di Bernardo, Gustavo A. Osorio

Publication date: 9 June 2009

Published in: International Journal of Control (Search for Journal in Brave)

Full work available at URL: http://www.informaworld.com/smpp/./content~db=all~content=a908185551

zbMATH Keywords

limit cycleshybrid systemsvehicle dynamicsautomotive controlnon-smooth dynamics

Mathematics Subject Classification ID

Sensitivity (robustness) (93B35) Application models in control theory (93C95) Asymptotic stability in control theory (93D20) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (10)

Existence and stability of limit cycles in control of anti-lock braking systems with two boundaries via perturbation theory ⋮ Design and experimental validation of a nonlinear wheel slip control algorithm ⋮ A novel route to a Hopf bifurcation scenario in switched systems with dead-zone ⋮ Bifurcation of Limit Cycles from a Fold-Fold Singularity in Planar Switched Systems ⋮ Stochastically perturbed sliding motion in piecewise-smooth systems ⋮ Stochastic perturbations of periodic orbits with sliding ⋮ Hybrid control design for limit cycle stabilisation of planar switched systems ⋮ On linear-parameter-varying (LPV) slip-controller design for two-wheeled vehicles ⋮ Bifurcation of limit cycles from a switched equilibrium in planar switched systems ⋮ Limit cycles in piecewise polynomial Hamiltonian systems allowing nonlinear switching boundaries

Cites Work

• Vehicle velocity estimation using nonlinear observers
• Slip-based tire-road friction estimation
• Discontinuity-induced bifurcations of equilibria in piecewise-smooth and impacting dynamical systems
• Stability and bifurcation of longitudinal vehicle braking
• Bifurcations in piecewise-smooth feedback systems

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