Computation of the Lyapunov exponents in the compass-gait model under OGY control via a hybrid Poincaré map
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Publication:508508
DOI10.1016/j.chaos.2015.09.011zbMath1355.93130OpenAlexW1858765752MaRDI QIDQ508508
Hassène Gritli, Safya Belghith
Publication date: 7 February 2017
Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.chaos.2015.09.011
Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Automated systems (robots, etc.) in control theory (93C85) Robot dynamics and control of rigid bodies (70E60) Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) (93C30)
Related Items (10)
Design of an explicit expression of the Poincaré map for the passive dynamic walking of the compass-gait biped model ⋮ LCP method for a planar passive dynamic Walker based on an event-driven scheme ⋮ Walking dynamics of the passive compass-gait model under OGY-based state-feedback control: analysis of local bifurcations via the hybrid Poincaré map ⋮ Stabilization of the passive walking dynamics of the compass-gait biped robot by developing the analytical expression of the controlled Poincaré map ⋮ Chaotic behaviour and bifurcation in real dynamics of two-parameter family of functions including logarithmic map ⋮ Identification, Stability and Stabilization of Limit Cycles in a Compass-Gait Biped Model via a Hybrid Poincaré Map ⋮ Poincaré maps design for the stabilization of limit cycles in non-autonomous nonlinear systems via time-piecewise-constant feedback controllers with application to the chaotic Duffing oscillator ⋮ Global dynamics of a non-smooth system with elastic and rigid impacts and dry friction ⋮ Walking dynamics of the passive compass-gait model under OGY-based state-feedback control: rise of the Neimark-Sacker bifurcation ⋮ Robust position control of a two-sided 1-DoF impacting mechanical oscillator subject to an external persistent disturbance by means of a state-feedback controller
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