Existence and stability of limit cycles in control of anti-lock braking systems with two boundaries via perturbation theory

DOI10.1080/00207179.2016.1192686zbMath1366.93421OpenAlexW2401206898MaRDI QIDQ5280302

Thomas Köppen, O. Yu. Makarenkov, Tassilo Kuepper

Publication date: 20 July 2017

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

Full work available at URL: https://doi.org/10.1080/00207179.2016.1192686

zbMATH Keywords

stabilityperturbation theorylimit cycleshybrid systemsvehicle dynamicsnon-smooth dynamicsABSclosed-loop switching controlquarter car model

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Application models in control theory (93C95) Perturbations in control/observation systems (93C73) Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) (93C30) Stability of control systems (93D99)

Related Items (3)

Bifurcation of Limit Cycles from a Fold-Fold Singularity in Planar Switched Systems ⋮ Degenerate grazing-sliding bifurcations in planar Filippov systems ⋮ Hybrid control design for limit cycle stabilisation of planar switched systems

Cites Work

• Active braking control systems design for vehicles
• An alternative approach to study bifurcation from a limit cycle in periodically perturbed autonomous systems
• Qualitative bifurcation analysis of a non-smooth friction-oscillator model
• Bifurcation and stability analysis for a non-smooth friction oscillator
• Stability and bifurcation of longitudinal vehicle braking
• Existence, stability and robustness analysis of limit cycles in hybrid anti-lock braking systems
• STICK-SLIP DYNAMICS OF A TWO-DEGREE-OF-FREEDOM SYSTEM

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