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The variable-height inverted pendulum (VHIP) model enables a new balancing strategy by height variations of the center of mass, in addition to the well-known ankle strategy. We propose a biped stabilizer based on linear feedback of the VHIP…

Robotics · Computer Science 2020-03-31 Stéphane Caron

In bipedal gait design literature, one of the common ways of generating stable 3D walking gait is by designing the frontal and sagittal controllers as decoupled dynamics. The study of the decoupled frontal dynamics is, however, still…

Robotics · Computer Science 2019-05-01 Arthur de Oliveira , Guilherme Vicinansa , Paulo da Silva , Bruno Angélico

State-of-the-art approaches to legged locomotion are widely dependent on the use of models like the linear inverted pendulum (LIP) and the spring-loaded inverted pendulum (SLIP), popular because their simplicity enables a wide array of…

Robotics · Computer Science 2019-09-24 Yu-Ming Chen , Michael Posa

We present a framework to generate periodic trajectory references for a 3D under-actuated bipedal robot, using a linear inverted pendulum (LIP) based controller with adaptive neural regulation. We use the LIP template model to estimate the…

Robotics · Computer Science 2022-08-04 Victor Paredes , Ayonga Hereid

Terminal sliding mode (TSM) control algorithm and its non-singular refinement have been elaborated for two decades and belong, since then, to a broader class of the finite-time controllers, which are known to be robust against the matched…

Systems and Control · Electrical Eng. & Systems 2021-03-24 Michael Ruderman

Linear quadratic Gaussian (LQG) control is a well-established method for optimal control through state estimation, particularly in stabilizing an inverted pendulum on a cart. In standard laboratory setups, sensor redundancy enables direct…

Systems and Control · Electrical Eng. & Systems 2026-05-19 Daniel Engelsman , Itzik Klein

This paper introduces an indirect adaptive fuzzy model predictive control strategy for a nonlinear rotational inverted pendulum with model uncertainties. In the first stage, a nonlinear prediction model is provided based on the fuzzy sets,…

Optimization and Control · Mathematics 2019-03-20 Roja Eini , Sherif Abdelwahed

Developing a general-purpose wearable real-time fall-detection system is still a challenging task, especially for healthy and strong subjects, such as industrial workers that work in harsh environments. In this work, we present a hybrid…

Signal Processing · Electrical Eng. & Systems 2025-06-02 Nicholas Cartocci , Antonios E. Gkikakis , Darwin G. Caldwell , Jesús Ortiz

An efficient and accurate computational approach is proposed for optimal attitude control of a rigid body. The problem is formulated directly as a discrete time optimization problem using a Lie group variational integrator. Discrete…

Optimization and Control · Mathematics 2007-05-23 Taeyoung Lee , Melvin Leok , N. Harris McClamroch

Models of bipedal locomotion are hybrid, with a continuous component often generated by a Lagrangian plus actuators, and a discrete component where leg transfer takes place. The discrete component typically consists of a locally embedded…

Robotics · Computer Science 2016-06-13 Hamed Razavi , Anthony M. Bloch , Christine Chevallereau , J. W. Grizzle

This paper concerns the numerical procedure for solving hybrid optimal control problems with sliding modes. A sliding mode is coped with differential-algebraic equations (DAEs) and that guarantees accurate tracking of the sliding motion…

Optimization and Control · Mathematics 2021-01-21 Radoslaw Pytlak , Damian Suski

This paper investigates the dynamic properties of planar slider-pusher systems as a motion primitive in manipulation tasks. To that end, we construct a differential kinematic model deriving from the limit surface approach under the…

Systems and Control · Electrical Eng. & Systems 2025-11-07 Sander De Witte , Tom Lefebvre , Thomas Neve , Andras Retzler , Guillaume Crevecoeur

Learning controllers that reproduce legged locomotion in nature has been a long-time goal in robotics and computer graphics. While yielding promising results, recent approaches are not yet flexible enough to be applicable to legged systems…

Robotics · Computer Science 2022-07-26 Daniel Ordonez-Apraez , Antonio Agudo , Francesc Moreno-Noguer , Mario Martin

Fast and safe manipulation of flexible objects with a robot manipulator necessitates measures to cope with vibrations. Existing approaches either increase the task execution time or require complex models and/or additional instrumentation…

Wing-assisted inclined running (WAIR) observed in some young birds, is an attractive maneuver that can be extended to legged aerial systems. This study proposes a control method using a modified Variable Length Inverted Pendulum (VLIP) by…

Learning-based optimal control algorithms control unknown systems using past trajectory data and a learned model of the system dynamics. These controllers use either a linear approximation of the learned dynamics, trading performance for…

Systems and Control · Electrical Eng. & Systems 2023-07-21 Adam W. Hall , Melissa Greeff , Angela P. Schoellig

Two different controlling methods are proposed to stabilize unstable continuous-sliding states of a dry-friction oscillator. Both methods are based on a delayed-feedback mechanism well-known for stabilizing periodic orbits in deterministic…

chao-dyn · Physics 2009-10-30 Franz-Josef Elmer

Inverted pendulums constitute one of the popular systems for benchmarking control algorithms. Several methods have been proposed for the control of this system, the majority of which rely on the availability of a mathematical model.…

Systems and Control · Electrical Eng. & Systems 2024-09-27 Ugur Yildiran

We study dynamics of an wheeled inverted pendulum under a proportional-integral-derivative controller on horizontal, inclined and soft surfaces. An oscillatory area and conditions of the stability for the control are shown on the phase…

Chaotic Dynamics · Physics 2020-06-12 O. M. Kiselev

This paper introduces a simulation study of fluid actuated multi-driven closed system as spherical mobile robot called "RollRoller". Robot's mechanism design consists of two essential parts: tubes to lead a core and mechanical controlling…

Robotics · Computer Science 2016-10-21 Seyed Amir Tafrishi , Sandor M. Veres , Esmaeil Esmaeilzadeh , Mikhail Svinin