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In the formation control problem for autonomous robots a distributed control law steers the robots to the desired target formation. A local stability result of the target formation can be derived by methods of linearization and center…

Optimization and Control · Mathematics 2010-01-26 Florian Dorfler , Bruce Francis

The Mini Wheelbot is a balancing, reaction wheel unicycle robot designed as a testbed for learning-based control. It is an unstable system with highly nonlinear yaw dynamics, non-holonomic driving, and discrete contact switches in a small,…

Robotics · Computer Science 2025-11-07 Henrik Hose , Jan Weisgerber , Sebastian Trimpe

We built a simple two-leg toy that can walk stably with no control system. It walks downhill powered only by gravity. It seems to be the first McGeer-like passive-dynamic walker that is statically unstable in all standing positions, yet is…

Classical Physics · Physics 2007-05-23 Michael J. Coleman , Andy Ruina

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

We consider a single non-holonomic Dubins-like robot traveling with a constant longitudinal speed in an a priori unknown and unsteady planar environment. The robot should detect, locate, and track the boundary of a dynamic environmental…

Optimization and Control · Mathematics 2015-04-09 Alexey S. Matveev , Michael C. Hoy , Kirill S. Ovchinnikov , Alexander M. Anisimov , Andrey V. Savkin

This paper studies the tracking control problem for nonholonomic mobile robots based on second order dynamics, with application to consensus tracking and formation tracking. The greatest novelty in this paper is that the reference…

Systems and Control · Electrical Eng. & Systems 2019-12-30 Xiaodong He , Zhiyong Geng

In this paper, we investigate the adaptive control problem for robot manipulators with both the uncertain kinematics and dynamics. We propose two adaptive control schemes to realize the objective of task-space trajectory tracking…

Systems and Control · Computer Science 2017-07-13 Hanlei Wang

The goal of this paper is to present a rigorous and intrinsic formulation of a Riemannian PD-regulator of the robot's tool, The first one is based upon the Lasalle's invariance principle, we use it to control the tool's position in the…

Optimization and Control · Mathematics 2021-08-05 Anis Bousclet , Mohamed Camil Belhadjoudja

In this paper, we present a new leader-follower type solution to the formation maneuvering problem for multiple, nonholonomic wheeled mobile robots. The solution is based on the graph that models the coordination among the robots being a…

Robotics · Computer Science 2018-12-07 Milad Khaledyan , Marcio de Queiroz

Bipedal running is a difficult task to realize in robots, since the trunk is underactuated and control is limited by intermittent ground contacts. Stabilizing the trunk becomes even more challenging if the terrain is uneven and causes…

Robotics · Computer Science 2020-06-09 Özge Drama , Alexander Badri-Spröwitz

This paper studies stabilizer design for position-controlled humanoid robots. Stabilizers are an essential part for position-controlled humanoids, whose primary objective is to adjust the control input sent to the robot to assist the…

Robotics · Computer Science 2021-08-17 Shunpeng Yang , Hua Chen , Zhen Fu , Wei Zhang

This paper presents a combined strategy for tracking a non-holonomic mobile robot which works under certain operating conditions for system parameters and disturbances. The strategy includes kinematic steering and velocity dynamics learning…

Robotics · Computer Science 2015-12-11 Monica Dragoicea , Ioan Dumitrache , Nicolae Constantin

This article presents an in-depth review of the topic of path following for autonomous robotic vehicles, with a specific focus on vehicle motion in two dimensional space (2D). From a control system standpoint, path following can be…

This paper proposes a feedback linearizing law for single-track dynamic models, allowing the design of a trajectory tracking controller exploiting linear control theory. The main characteristics of this algorithm are its simplicity, its…

Systems and Control · Electrical Eng. & Systems 2020-04-03 Luca Bascetta , Marcello Farina , Alessandro Gabrielli , Matteo Matteucci

This paper presents a methodology to stabilize some kind of Nonlinear Control system known as Driftless, utilizing the concept of \textit{Pseudo-Kinetic Energy} introduced in this work. Once this controller is applied to the Unicycle-type…

Optimization and Control · Mathematics 2009-06-10 Andres Garcia , Osvaldo Agamennoni , Jose Figueroa

The paper considers a motion control problem for kinematic models of nonholonomic wheeled systems. The class of maneuverable wheeled systems is defined consisting of systems that can follow any sufficiently smooth non-stop trajectory on the…

Optimization and Control · Mathematics 2007-05-23 Sergei V. Gusev , Igor A. Makarov

Recently several hierarchical inverse dynamics controllers based on cascades of quadratic programs have been proposed for application on torque controlled robots. They have important theoretical benefits but have never been implemented on a…

Robotics · Computer Science 2014-11-10 Alexander Herzog , Ludovic Righetti , Felix Grimminger , Peter Pastor , Stefan Schaal

Soft and soft-rigid hybrid robots are inherently underactuated and operate under tight actuator limits, making task-space control with stability guarantees challenging. Common nonlinear strategies for soft robots (e.g., those based on PD…

Robotics · Computer Science 2026-03-09 Huy Pham , Zach J. Patterson

Torque control algorithms which consider robot dynamics and contact constraints are important for creating dynamic behaviors for humanoids. As computational power increases, algorithms tend to also increase in complexity. However, it is not…

Robotics · Computer Science 2017-01-31 Sean Mason , Nicholas Rotella , Stefan Schaal , Ludovic Righetti

In this letter, we present a novel bi-modal bi-copter robot called Skater, which is adaptable to air and various ground surfaces. Skater consists of a bi-copter moving along its longitudinal direction with two passive wheels on both sides.…

Robotics · Computer Science 2024-05-28 Junxiao Lin , Ruibin Zhang , Neng Pan , Chao Xu , Fei Gao