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In this paper we introduce a new method to design control laws for non-linear underactuated systems. Our method produces an infinite dimensional family of control laws, whereas most control techniques only produce a finite dimensional…

Optimization and Control · Mathematics 2007-05-23 Dave Auckly , Lev Kapitanski , Warren White

More and more, new ways of interaction between humans and robots are desired, something that allow us to program a robot in an intuitive way, quickly and with a high-level of abstraction from the robot language. In this paper is presented a…

Robotics · Computer Science 2013-09-10 Pedro Neto , Nuno Mendes , Norberto Pires , Paulo Moreira

In this paper, we present a novel rolling, jumping robot. The robot consists of a driven pendulum mounted to a wheel in a compact, lightweight, 3D printed design. We show that by driving the pendulum to shift the robot's weight…

Robotics · Computer Science 2023-10-30 Jake Buzhardt , Prashanth Chivkula , Phanindra Tallapragada

The single, double, and triple pendulum has served as an illustrative experimental benchmark system for scientists to study dynamical behavior for more than four centuries. The pendulum system exhibits a wide range of interesting behaviors,…

In this paper, we present an energy-conservation based control architecture for stable dynamic motion in quadruped robots. We model the robot as a Spring-loaded Inverted Pendulum (SLIP), a model well-suited to represent the bouncing motion…

Robotics · Computer Science 2025-11-10 Muhammad Saud Ul Hassan , Derek Vasquez , Hamza Asif , Christian Hubicki

The Wheeled Inverted Pendulum (WIP) is an underactuated, nonholonomic mechatronic system, and has been popularized commercially as the Segway. Designing a control law for motion planning, that incorporates the state and control constraints,…

Systems and Control · Computer Science 2019-10-03 Klaus Albert , Karmvir Singh Phogat , Felix Anhalt , Ravi N Banavar , Debasish Chatterjee , Boris Lohmann

As robots venture into the real world, they are subject to unmodeled dynamics and disturbances. Traditional model-based control approaches have been proven successful in relatively static and known operating environments. However, when an…

Robotics · Computer Science 2021-12-08 Siqi Zhou , Karime Pereida , Wenda Zhao , Angela P. Schoellig

This paper presents a nonlinear control design for highly underactuated balance robots, which possess more numbers of unactuated degree-of-freedom (DOF) than actuated ones. To address the challenge of simultaneously trajectory tracking of…

Robotics · Computer Science 2023-10-03 Feng Han , Jingang Yi

This paper presents an intelligent controller for uncertain underactuated nonlinear systems. The adopted approach is based on sliding mode control and enhanced by an artificial neural network to cope with modeling inaccuracies and external…

Systems and Control · Electrical Eng. & Systems 2022-06-13 Josiane Maria de Macedo Fernande , Marcelo Costa Tanaka , Wallace Moreira Bessa , Edwin Kreuzer

A double inverted pendulum plant has been in the domain of control researchers as an established model for studies on stability. The stability of such as a system taking the linearized plant dynamics has yielded satisfactory results by many…

Systems and Control · Computer Science 2015-11-10 Kavirayani Srikanth , Gundavarapu Nagesh Kumar

Spring Loaded Inverted Pendulum (SLIP) model has a long history in describing running behavior in animals and humans as well as has been used as a design basis for robots capable of dynamic locomotion. Anchoring the SLIP for lossy physical…

Robotics · Computer Science 2015-06-08 H. Eftun Orhon , Caner Odabas , Ismail Uyanik , Omer Morgul , Uluc Saranli

This paper investigates the possibility of the motion control of a ball with a pendulum mechanism with non-holonomic constraints using gaits - the simplest motions such as acceleration and deceleration during the motion in a straight line,…

Dynamical Systems · Mathematics 2021-09-28 Tatyana B. Ivanova , Elena N. Pivovarova

In this paper, the control problem for underactuated systems in the presence of external disturbances and model uncertainties is considered. An adaptive fuzzy sliding mode controller (AFSMC) is proposed to solve the problem, satisfying the…

Optimization and Control · Mathematics 2017-02-10 Mohammad Mahdi Azimi , Hamid Reza Koofigar , Mehdi Edrisi

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

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

We present a solvable biped walking model based on an inverted pendulum with two massless articulated legs capable of walking on uneven floors and inclined planes. The stride of the two-legged robot results from the pendular motion of a…

Robotics · Computer Science 2022-09-05 Rui Dilão , Nuno Teixeira

Locomotion on dynamic rigid surface (i.e., rigid surface accelerating in an inertial frame) presents complex challenges for controller design, which are essential for deploying humanoid robots in dynamic real-world environments such as…

Robotics · Computer Science 2024-09-16 Yuan Gao , Victor Paredes , Yukai Gong , Zijian He , Ayonga Hereid , Yan Gu

An "upward-driven disk" is a novel mechanical device built from LEGO parts. A circular disk is suspended from the point where it is sandwiched between two wheels, making it free to oscillate as a pendulum, but the location of that…

Classical Physics · Physics 2025-05-26 Leo Maas

The normal and the inverted pendulum continue to be one of the main physical models and metaphors in science. The inverted pendulum is also a classic study case in control theory. In this paper we consider a special demonstration version of…

Biological Physics · Physics 2007-05-23 Frank Borg

Achieving stable and robust perceptive locomotion for bipedal robots in unstructured outdoor environments remains a critical challenge due to complex terrain geometry and susceptibility to external disturbances. In this work, we propose a…

Robotics · Computer Science 2025-10-21 Haokai Su , Haoxiang Luo , Shunpeng Yang , Kaiwen Jiang , Wei Zhang , Hua Chen