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Bipedal robots are essentially unstable because of their complex kinematics as well as high dimensional state space dynamics, hence control and generation of stable walking is a complex subject and still one of the active topics in the…

Robotics · Computer Science 2019-06-06 Mohammadreza Kasaei , Nuno Lau , Artur Pereira

In this work, we introduce a control framework that combines model-based footstep planning with Reinforcement Learning (RL), leveraging desired footstep patterns derived from the Linear Inverted Pendulum (LIP) dynamics. Utilizing the LIP…

Robotics · Computer Science 2024-08-06 Ho Jae Lee , Seungwoo Hong , Sangbae Kim

This study explores the dynamics of asymmetrical bounding gaits in quadrupedal robots, focusing on the integration of torso pitching and hip motion to enhance speed and stability. Traditional control strategies often enforce a fixed…

Robotics · Computer Science 2025-09-01 Jing Cheng , Yasser G. Alqaham , Zhenyu Gan

We present a real-time pattern generator for dynamic walking over rough terrains. Our method automatically finds step durations, a critical issue over rough terrains where they depend on terrain topology. To achieve this level of…

Robotics · Computer Science 2017-07-26 Stéphane Caron , Abderrahmane Kheddar

Time-delayed control in a balancing problem may be a nonsmooth function for a variety of reasons. In this paper we study a simple model of the control of an inverted pendulum by either a connected movable cart or an applied torque for which…

Dynamical Systems · Mathematics 2015-05-27 David J. W. Simpson , Rachel Kuske , Yue-Xian Li

By the recent spread of machine learning in the robotics field, a humanoid that can act, perceive, and learn in the real world through contact with the environment needs to be developed. In this study, as one of the choices, we propose a…

The Wheeled Inverted Pendulum (WIP) is a nonholonomic, underactuated mechanical system, and has been popularized commercially as the {\it Segway}. Designing optimal control laws for point-to-point state-transfer for this autonomous…

Systems and Control · Computer Science 2017-11-09 Karmvir Singh Phogat , Ravi Banavar , Debasish Chatterjee

This paper concerns two algorithms for solving optimal control problems with hybrid systems. The first algorithm aims at hybrid systems exhibiting sliding modes. The first algorithm has several features which distinguishes it from the other…

Optimization and Control · Mathematics 2025-08-05 Radoslaw Pytlak , Damian Suski

Controlling the shape and position of moving and pinned droplets on a solid surface is an important feature often found in microfluidic applications. In this work, we consider a well investigated phase field model including contact line…

Numerical Analysis · Mathematics 2020-02-10 Henning Bonart , Christian Kahle

In this paper, we present a new model of biped locomotion which is composed of three linear pendulums (one per leg and one for the whole upper body) to describe stance, swing and torso dynamics. In addition to double support, this model has…

Robotics · Computer Science 2016-05-11 Salman Faraji , Auke J. Ijspeert

Achieving versatile and explosive motion with robustness against dynamic uncertainties is a challenging task. Introducing parallel compliance in quadrupedal design is deemed to enhance locomotion performance, which, however, makes the…

Robotics · Computer Science 2025-04-18 Jiatao Ding , Peiyu Yang , Fabio Boekel , Jens Kober , Wei Pan , Matteo Saveriano , Cosimo Della Santina

This paper presents an algorithm that finds a centroidal motion and footstep plan for a Spring-Loaded Inverted Pendulum (SLIP)-like bipedal robot model substantially faster than real-time. This is achieved with a novel representation of the…

Robotics · Computer Science 2024-09-17 Tara Bartlett , Ian R. Manchester

The inverted pendulum is a non-linear unbalanced system that needs to be controlled using motors to achieve stability and equilibrium. The inverted pendulum is constructed with Lego and using the Lego Mindstorm NXT, which is a programmable…

We present a numerically tractable formulation for computing the optimal control of the class of hybrid dynamical systems whose trajectories are continuous. Our formulation, an extension of existing relaxed-control techniques for switched…

Optimization and Control · Mathematics 2016-05-26 Tyler Westenbroek , Humberto Gonzalez

In this paper we provide optimal control based strategies to explore the dynamic capabilities of a single-track car model which includes tire models and longitudinal load transfer. Using an explicit formulation of the holonomic constraints…

Optimization and Control · Mathematics 2015-03-19 Alessandro Rucco , Giuseppe Notarstefano , John Hauser

Locomotion of legged machines faces the problems of model complexity and computational costs. Algorithms based on complex models and/or reinforcement learning exist to solve the walking control task. In this project, we aim to develop a…

Robotics · Computer Science 2018-05-17 Kendeas Theofanous

PID control is commonly utilized in an active suspension system to achieve desirable chassis attitude, where, due to delays, feedback information has much difficulty regulating the roll and pitch behavior, and stabilizing the chassis…

Systems and Control · Electrical Eng. & Systems 2022-03-09 Zilin Feng , Min Yu , Simos A. Evangelou , Imad M Jaimoukha , Daniele Dini

We present a new walking foot-placement controller based on 3LP, a 3D model of bipedal walking that is composed of three pendulums to simulate falling, swing and torso dynamics. Taking advantage of linear equations and closed-form solutions…

Robotics · Computer Science 2018-11-12 Salman Faraji , Philippe Muellhaupt , Auke J. Ijspeert

Controlled gliding is one of the most energetically efficient modes of transportation for natural and human powered fliers. Here we demonstrate that gliding and landing strategies with different optimality criteria can be identified through…

Robotics · Computer Science 2018-07-11 Guido Novati , Lakshminarayanan Mahadevan , Petros Koumoutsakos

An intuitive control method for the flying trot, which combines offline trajectory planning with real-time balance control, is presented. The motion features of running animals in the vertical direction were analysed using the…

Robotics · Computer Science 2022-10-25 Hongge Wang , Hui Chai , Bin Chen , Aizhen Xie , Rui Song , Bo Su