A brief review of dynamics and control of underactuated biped robots

S Gupta, A Kumar - Advanced Robotics, 2017 - Taylor & Francis
Humans as bipeds enjoy certain advantages over other terrestrial systems, which motivate
us to study and develop biped robots. Underactuated biped robots adopt the energy efficient …

Optimization and stabilization of trajectories for constrained dynamical systems

M Posa, S Kuindersma… - 2016 IEEE International …, 2016 - ieeexplore.ieee.org
Contact constraints, such as those between a foot and the ground or a hand and an object,
are inherent in many robotic tasks. These constraints define a manifold of feasible states; …

Stable dynamic walking over uneven terrain

IR Manchester, U Mettin, F Iida… - … International Journal of …, 2011 - journals.sagepub.com
We propose a constructive control design for stabilization of non-periodic trajectories of
underactuated robots. An important example of such a system is an underactuated “dynamic …

Design of an explicit expression of the Poincaré map for the passive dynamic walking of the compass-gait biped model

W Znegui, H Gritli, S Belghith - Chaos, Solitons & Fractals, 2020 - Elsevier
This paper presents a design method of an explicit analytical classical expression of the
Poincaré map for the passive dynamic walking (PDW) of the planar compass-gait biped …

A finite-state machine for accommodating unexpected large ground-height variations in bipedal robot walking

HW Park, A Ramezani… - IEEE Transactions on …, 2012 - ieeexplore.ieee.org
This paper presents a feedback controller that allows MABEL, which is a kneed planar
bipedal robot with 1-m-long legs, to accommodate terrain that presents large unexpected …

Bounding on rough terrain with the LittleDog robot

A Shkolnik, M Levashov… - … Journal of Robotics …, 2011 - journals.sagepub.com
A motion planning algorithm is described for bounding over rough terrain with the LittleDog
robot. Unlike walking gaits, bounding is highly dynamic and cannot be planned with quasi …

Warm start of mixed-integer programs for model predictive control of hybrid systems

T Marcucci, R Tedrake - IEEE Transactions on Automatic …, 2020 - ieeexplore.ieee.org
In hybrid model predictive control (MPC), a mixed-integer quadratic program (MIQP) is
solved at each sampling time to compute the optimal control action. Although these …

Aggressive quadrotor flight through cluttered environments using mixed integer programming

B Landry, R Deits, PR Florence… - 2016 IEEE international …, 2016 - ieeexplore.ieee.org
Quadrotor flight has typically been limited to sparse environments due to numerical
complications that arise when dealing with large numbers of obstacles. We hypothesized …

Stability analysis and control of rigid-body systems with impacts and friction

M Posa, M Tobenkin, R Tedrake - IEEE Transactions on …, 2015 - ieeexplore.ieee.org
Many critical tasks in robotics, such as locomotion or manipulation, involve collisions
between a rigid body and the environment or between multiple bodies. Methods based on …

Walking dynamics of the passive compass-gait model under OGY-based control: emergence of bifurcations and chaos

H Gritli, S Belghith - Communications in Nonlinear Science and Numerical …, 2017 - Elsevier
An analysis of the passive dynamic walking of a compass-gait biped model under the OGY-
based control approach using the impulsive hybrid nonlinear dynamics is presented in this …