A new Poincaré map for investigating the complex walking behavior of the compass-gait biped robot
From MaRDI portal
Publication:2243405
DOI10.1016/J.APM.2021.01.036zbMath1481.70032OpenAlexW3126709471MaRDI QIDQ2243405
Safya Belghith, Wafa Znegui, Hassène Gritli
Publication date: 11 November 2021
Published in: Applied Mathematical Modelling (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.apm.2021.01.036
stabilitychaos and bifurcationclosed-form Poincaré mapcompass-gait biped robotimpulsive hybrid nonlinear systemquadratic Taylor polynomial
Related Items (6)
Finite-Time Stabilization of the Fractional Model of the Driven Dissipative Nonlinear Pendulum ⋮ Walking dynamics of a semi-passive compass-like robot with impulse thrust ⋮ A new method for finding the proper initial conditions in passive locomotion of bipedal robotic systems ⋮ Existence and stability of limit cycles in the model of a planar passive biped walking down a slope ⋮ Neimark-Sacker bifurcation and controlling chaos in a three-species food chain model through the OGY method ⋮ A further analysis of the passive compass-gait bipedal robot and its period-doubling route to chaos
Cites Work
- Models, feedback control, and open problems of 3D bipedal robotic walking
- An alternative stability analysis technique for the simplest walker
- New walking dynamics in the simplest passive bipedal walking model
- Walking dynamics of the passive compass-gait model under OGY-based control: emergence of bifurcations and chaos
- Design of an explicit expression of the Poincaré map for the passive dynamic walking of the compass-gait biped model
- Walking dynamics of the passive compass-gait model under OGY-based state-feedback control: analysis of local bifurcations via the hybrid Poincaré map
- New bifurcations in the simplest passive walking model
- Identification, Stability and Stabilization of Limit Cycles in a Compass-Gait Biped Model via a Hybrid Poincaré Map
- Efficiency, speed, and scaling of two-dimensional passive-dynamic walking
- Bifurcation and chaos in the simple passive dynamic walking model with upper body
- Hidden Attractor in a Passive Motion Model of Compass-Gait Robot
- Existence and stability of limit cycles in the model of a planar passive biped walking down a slope
- The Dynamics of Legged Locomotion: Models, Analyses, and Challenges
- Stabilization of the passive walking dynamics of the compass-gait biped robot by developing the analytical expression of the controlled Poincaré map
This page was built for publication: A new Poincaré map for investigating the complex walking behavior of the compass-gait biped robot
