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Autonomous robots that are capable of operating safely in the presence of imperfect model knowledge or external disturbances are vital in safety-critical applications. In this paper, we present a planner-agnostic framework to design and…

Systems and Control · Electrical Eng. & Systems 2020-05-26 Arun Lakshmanan , Aditya Gahlawat , Naira Hovakimyan

In robotic tasks, changes in reference frames typically do not influence the underlying physical properties of the system, which has been known as invariance of physical laws.These changes, which preserve distance, encompass isometric…

Machine Learning · Computer Science 2023-07-18 Linfeng Zhao , Owen Howell , Jung Yeon Park , Xupeng Zhu , Robin Walters , Lawson L. S. Wong

When do locomotion controllers require reasoning about nonlinearities? In this work, we show that a whole-body model-predictive controller using a simple linear time-invariant approximation of the whole-body dynamics is able to execute…

This paper addresses the problem of designing a trajectory tracking control law for a quadrotor UAV, subsequent to complete failure of a single rotor. The control design problem considers the reduced state space which excludes the angular…

Optimization and Control · Mathematics 2017-04-04 Ashutosh Simha , Sharvaree Vadgama , Soumyendu Raha

Quadrupedal robots exhibit a wide range of viable gaits, but generating specific footfall sequences often requires laborious expert tuning of numerous variables, such as touch-down and lift-off events and holonomic constraints for each leg.…

Robotics · Computer Science 2026-02-13 Jiayu Ding , Xulin Chen , Garrett E. Katz , Zhenyu Gan

Quadrupedal robots exhibit a wide range of viable gaits, but generating specific footfall sequences often requires laborious expert tuning of numerous variables, such as touch-down and lift-off events and holonomic constraints for each leg.…

Systems and Control · Electrical Eng. & Systems 2026-02-17 Jiayu Ding , Xulin Chen , Garret E. Katz , Zhenyu Gan

The isoline tracking of this work is concerned with the control design for a sensing robot to track a given isoline of an unknown 2-D scalar filed. To this end, we propose a coordinate-free controller with a simple PI-like form using only…

Systems and Control · Electrical Eng. & Systems 2020-03-31 Fei Dong , Keyou You

Background The development of a simulation model of full body reaching tasks that can predict endeffector trajectories and joint excursions consistent with experimental data is a non-trivial task. Because of the kinematic redundancy…

Systems and Control · Computer Science 2011-08-10 Daohang Sha , James S Thomas

Quadrotors that can operate predictably in the presence of imperfect model knowledge and external disturbances are crucial in safety-critical applications. We present L1Quad, a control architecture that ensures uniformly bounded transient…

Systems and Control · Electrical Eng. & Systems 2024-12-23 Zhuohuan Wu , Sheng Cheng , Pan Zhao , Aditya Gahlawat , Kasey A. Ackerman , Arun Lakshmanan , Chengyu Yang , Jiahao Yu , Naira Hovakimyan

We present a method for contraction-based feedback motion planning of locally incrementally exponentially stabilizable systems with unknown dynamics that provides probabilistic safety and reachability guarantees. Given a dynamics dataset,…

Robotics · Computer Science 2022-03-02 Glen Chou , Necmiye Ozay , Dmitry Berenson

Many modern autonomous systems, particularly multi-agent systems, are time-critical and need to be robust against timing uncertainties. Previous works have studied left and right time robustness of signal temporal logic specifications by…

Systems and Control · Electrical Eng. & Systems 2023-06-09 Alëna Rodionova , Lars Lindemann , Manfred Morari , George J. Pappas

An emerging and challenging area in mathematical control theory called Ensemble Control encompasses a class of problems that involves the guidance of an uncountably infinite collection of structurally identical dynamical systems, which are…

Optimization and Control · Mathematics 2012-05-29 Anatoly Zlotnik , Jr-Shin Li

A spherical robot consists of an externally spherical rigid body rolling on a two-dimensional surface, actuated by an auxiliary mechanism. For a class of actuation mechanisms, we derive a controller for the geometric center of the sphere to…

Optimization and Control · Mathematics 2020-04-14 T. W. U. Madhushani , D. H. S. Maithripala , J. V. Wijayakulasooriya , J. M. Berg

This paper proposes a new robust trajectory tracking error-based control approach for unmanned ground vehicles. A trajectory tracking error-based model is used to design a linear model predictive controller and its control action is…

Robotics · Computer Science 2021-04-01 Erkan Kayacan , Herman Ramon , Wouter Saeys

The present paper proposes a unified geometric framework for coordinated motion on Lie groups. It first gives a general problem formulation and analyzes ensuing conditions for coordinated motion. Then, it introduces a precise method to…

Optimization and Control · Mathematics 2008-07-29 Alain Sarlette , Silvère Bonnabel , Rodolphe Sepulchre

A number of important modern applications in optimal control can be formulated as open loop control problems in which the underlying dynamical systems are subject to random inputs. These so-called ensemble control problems require the…

Optimization and Control · Mathematics 2026-05-05 Alessandro Scagliotti , Thomas M. Surowiec

Cyclic pursuit frameworks, which are built upon pursuit interactions between neighboring agents in a cycle graph, provide an efficient way to create useful global behaviors in a collective of autonomous robots. Previous work had considered…

Systems and Control · Computer Science 2017-11-16 Kevin S. Galloway , Biswadip Dey

We consider the problem of safe control design for a class of nonlinear, control-affine systems subject to an unknown, additive, nonlinear disturbance. Leveraging recent advancements in the application of Koopman operator theory to the…

Optimization and Control · Mathematics 2022-12-02 Mitchell Black , Dimitra Panagou

Errors dynamics captures the evolution of the state errors between two distinct trajectories, that are governed by the same system rule but initiated or perturbed differently. In particular, state observer error dynamics analysis in matrix…

Systems and Control · Electrical Eng. & Systems 2023-12-21 Xinghan Li , Jianqi Chen , Han Zhang , Jieqiang Wei , Junfeng Wu

Monotone systems, also known as order-preserving or cooperative systems, are prevalent in models of engineering applications such as transportation and biological networks. In this paper, we investigate the problem of finding a control…

Systems and Control · Computer Science 2018-07-30 Sadra Sadraddini , Calin Belta
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