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In this work, we utilize discrete geometric mechanics to derive a 2nd-order variational integrator so as to simulate rigid body dynamics. The developed integrator is to simulate the motion of a free rigid body and a quad-rotor. We…

Optimization and Control · Mathematics 2020-05-18 Mahmoud Abdelgalil , Asmaa Eldesoukey , Esraa Elshabrawy , Mostafa Abdalla

This paper introduces a framework for learning a minimum-norm stabilizing controller for a system with unknown dynamics using model-free policy optimization methods. The approach begins by first designing a Control Lyapunov Function (CLF)…

Optimization and Control · Mathematics 2020-10-02 Tyler Westenbroek , Fernando Castaneda , Ayush Agrawal , S. Shankar Sastry , Koushil Sreenath

In this paper we present a hierarchical multi-rate control architecture for nonlinear autonomous systems operating in partially observable environments. Control objectives are expressed using syntactically co-safe Linear Temporal Logic…

Systems and Control · Electrical Eng. & Systems 2022-07-04 Ugo Rosolia , Andrew Singletary , Aaron D. Ames

The design of controllers from data for nonlinear systems is a challenging problem. In a recent paper, De Persis, Rotulo and Tesi, "Learning controllers from data via approximate nonlinearity cancellation," IEEE Transactions on Automatic…

Systems and Control · Electrical Eng. & Systems 2024-04-30 Xiaoyan Dai , Claudio De Persis , Nima Monshizadeh , Pietro Tesi

In vehicle dynamics control, many variables of interest cannot be directly measured, as sensors might be costly, fragile, or even not available. Therefore, real-time estimation techniques need to be used. The previous approach suffers from…

Systems and Control · Electrical Eng. & Systems 2023-03-10 Giorgio Riva , Simone Formentin , Matteo Corno , Sergio M. Savaresi

Motion planning and control are two core components of the robotic systems autonomy stack. The standard approach to combine these methodologies comprises an offline/open-loop stage, planning, that designs a feasible and safe trajectory to…

Systems and Control · Electrical Eng. & Systems 2023-10-23 Tianqi Zheng , John W. Simpson-Porco , Enrique Mallada

This paper presents a constraint-enforcing control framework for a class of discrete-time strict-feedback nonlinear systems. The objective is to guarantee closed-loop stability while ensuring forward invariance of a prescribed safe set…

Optimization and Control · Mathematics 2026-04-29 Jhon Manuel Portella Delgado , Ankit Goel

In this article, the observer-based coordinated tracking control problem for a class of nonlinear multi-agent systems(MASs) with intermittent communication and information constraints is studied under dynamic switching topology. First, a…

Systems and Control · Electrical Eng. & Systems 2022-06-30 Yuhang Zhang , Yulian Jiang , Shenquan Wang

In this paper, we study the control of dynamical systems under temporal logic task specifications using gradient-based methods relying on quantitative measures that express the extent to which the tasks are satisfied. A class of controllers…

Systems and Control · Electrical Eng. & Systems 2019-09-06 Peter Varnai , Dimos V. Dimarogonas

We use Lagrangian formalism and jet spaces to derive a computational model to simulate multibody dynamics with holonomic constraints. Our approach avoids the traditional problems of drift-off and spurious oscillations. Hence even long…

Numerical Analysis · Mathematics 2007-05-23 Jukka Tuomela , Teijo Arponen , Villesamuli Normi

Many methods exist for a bipedal robot to keep its balance while walking. In addition to step size and timing, other strategies are possible that influence the stability of the robot without interfering with the target direction and speed…

Robotics · Computer Science 2018-10-15 Philipp Allgeuer , Sven Behnke

We study in this paper the problem of adaptive trajectory tracking for nonlinear systems affine in the control with bounded state-dependent and time-dependent uncertainties. We propose to use a modular approach, in the sense that we first…

Systems and Control · Computer Science 2015-07-21 Mouhacine Benosman , Meng Xia

We propose a novel method for motion planning and illustrate its implementation on several canonical examples. The core novel idea underlying the method is to define a metric for which a path of minimal length is an admissible path, that is…

Optimization and Control · Mathematics 2019-01-30 Shenyu Liu , Mohamed Ali Belabbas

Feedback optimization is a control paradigm that enables physical systems to autonomously reach efficient operating points. Its central idea is to interconnect optimization iterations in closed-loop with the physical plant. Since iterative…

Optimization and Control · Mathematics 2024-07-16 Zhiyu He , Saverio Bolognani , Jianping He , Florian Dörfler , Xinping Guan

By optimizing the predicted performance over a receding horizon, model predictive control (MPC) provides the ability to enforce state and control constraints. The present paper considers an extension of MPC for nonlinear systems that can be…

Systems and Control · Electrical Eng. & Systems 2023-09-29 Mohammadreza Kamaldar , Dennis S. Bernstein

In this paper, a new yet indirect performance guaranteed framework is established to address the distributed tracking control problem for networked uncertain nonlinear strict-feedback systems with unknown time-varying gains under a directed…

Systems and Control · Electrical Eng. & Systems 2022-07-13 Zeqiang Li , Yujuan Wang , Xiucai Huang

Hybrid systems theory has become a powerful approach for designing feedback controllers that achieve dynamically stable bipedal locomotion, both formally and in practice. This paper presents an analytical framework 1) to address…

Optimization and Control · Mathematics 2018-10-17 Kaveh Akbari Hamed , Wen-Loong , Aaron D. Ames

In this article, we detail the design of an output feedback stabilizing control law for an underactuated network of N subsystems of n + m heterodirectional linear first-order hyperbolic Partial Differential Equations interconnected through…

Analysis of PDEs · Mathematics 2024-09-17 Jean Auriol

Reliable real-time planning for robots is essential in today's rapidly expanding automated ecosystem. In such environments, traditional methods that plan by relaxing constraints become unreliable or slow-down for kinematically constrained…

Robotics · Computer Science 2020-08-13 Jacob J. Johnson , Linjun Li , Fei Liu , Ahmed H. Qureshi , Michael C. Yip

Design of robots at the small scale is a trial-and-error based process, which is costly and time-consuming. There are no good dynamic simulation tools to predict the motion or performance of a microrobot as it moves against a substrate. At…

Robotics · Computer Science 2019-07-31 Jiayin Xie , Chenghao Bi , David J. Cappelleri , Nilanjan Chakraborty