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This paper presents a new Lyapunov-based nonlinear model predictive controller (LNMPC) for the attitude control problem of unmanned aerial vehicles (UAVs), which is essential for their functioning operation. The controller is designed based…

Systems and Control · Electrical Eng. & Systems 2023-01-02 Duy Nam Bui , Thi Thanh Van Nguyen , Manh Duong Phung

Impedance control is a well-established technique to control interaction forces in robotics. However, real implementations of impedance control with an inner loop may suffer from several limitations. Although common practice in designing…

This paper studies the use of vector Lyapunov functions for the design of globally stabilizing feedback laws for nonlinear systems. Recent results on vector Lyapunov functions are utilized. The main result of the paper shows that the…

Optimization and Control · Mathematics 2012-01-13 Iasson Karafyllis , Zhong-Ping Jiang

In multi-point contact systems, precise force control is crucial for achieving stable and safe interactions between robots and their environment. Thus, we demonstrate an admittance controller with auto-tuning that can be applied for these…

Robotics · Computer Science 2023-10-03 Alexander Schperberg , Yuki Shirai , Xuan Lin , Yusuke Tanaka , Dennis Hong

Satellite dynamics in unknown environments are inherently uncertain due to factors such as varying gravitational fields, atmospheric drag, and unpredictable interactions with space debris or other celestial bodies. Traditional sliding mode…

Systems and Control · Electrical Eng. & Systems 2025-05-13 Rakesh Kumar Sahoo , Manoranjan Sinha

Model Predictive Control (MPC) is a popular strategy for controlling robots but is difficult for systems with contact due to the complex nature of hybrid dynamics. To implement MPC for systems with contact, dynamic models are often…

Robotics · Computer Science 2023-11-08 Nathan J. Kong , Chuanzheng Li , Aaron M. Johnson

Reinforcement learning (RL) exhibits impressive performance when managing complicated control tasks for robots. However, its wide application to physical robots is limited by the absence of strong safety guarantees. To overcome this…

Robotics · Computer Science 2023-05-18 Desong Du , Shaohang Han , Naiming Qi , Haitham Bou Ammar , Jun Wang , Wei Pan

Designing planners and controllers for contact-rich manipulation is extremely challenging as contact violates the smoothness conditions that many gradient-based controller synthesis tools assume. Contact smoothing approximates a non-smooth…

Robotics · Computer Science 2025-10-06 Yuki Shirai , Tong Zhao , H. J. Terry Suh , Huaijiang Zhu , Xinpei Ni , Jiuguang Wang , Max Simchowitz , Tao Pang

Learning the inverse dynamics of soft continuum robots remains challenging due to high-dimensional nonlinearities and complex actuation coupling. Conventional feedback-based controllers often suffer from control chattering due to corrective…

Robotics · Computer Science 2026-04-06 Hang Yang , Fangju Yang , Yangming Zhang , Ibrahim Alsarraj , Yuhao Wang , Zhenye Luo , Zixi Chen , Ke Wu

We propose a general model-free strategy for feedback control design of turbulent flows. This strategy called 'machine learning control' (MLC) is capable of exploiting nonlinear mechanisms in a systematic unsupervised manner. It relies on…

Control Barrier Functions (CBFs) have emerged as a powerful tool in the design of safety-critical controllers for nonlinear systems. In modern applications, complex systems often involve the feedback interconnection of subsystems evolving…

Optimization and Control · Mathematics 2026-04-03 Stefano Di Gregorio , Guido Carnevale , Giuseppe Notarstefano

The notion of the relaxed Robust Control Lyapunov Function (relaxed RCLF) is introduced and is exploited for the design of robust feedback stabilizers for nonlinear systems. Particularly, it is shown for systems with input constraints that…

Optimization and Control · Mathematics 2008-10-07 Iasson Karafyllis , Costas Kravaris , Nicolas Kalogerakis

In this paper we propose an implicit force control scheme for a one-link flexible manipulator that interact with a compliant environment. The controller was based in the mathematical model of the manipulator, considering the dynamics of the…

Robotics · Computer Science 2017-05-17 Cecilia Murrugarra , Osberth De Castro , Juan Carlos Grieco , Gerardo Fernandez

For safe and effective operation of humanoid robots in human-populated environments, the problem of commanding a large number of Degrees of Freedom (DoF) while simultaneously considering dynamic obstacles and human proximity has still not…

Robotics · Computer Science 2024-12-12 Jakub Rozlivek , Alessandro Roncone , Ugo Pattacini , Matej Hoffmann

This article presents an adaptive nonlinear delayed feedback control scheme for stabilizing the unstable periodic orbit of unknown fractional-order chaotic systems. The proposed control framework uses the Lyapunov approach and sliding mode…

Systems and Control · Electrical Eng. & Systems 2023-11-10 Bahram Yaghooti , Kaveh Safavigerdini , Reza Hajiloo , Hassan Salarieh

We experimentally optimize mixing of a turbulent round jet using machine learning control (MLC) following Li et al (2017). The jet is manipulated with one unsteady minijet blowing in wall-normal direction close to the nozzle exit. The flow…

Fluid Dynamics · Physics 2018-08-13 Zhi Wu , Fan Dewei , Yu Zhou , Ruiying Li , Bernd R. Noack

Robots must satisfy safety-critical state and input constraints despite disturbances and model mismatch. We introduce a robust model predictive control (RMPC) formulation that is fast, scalable, and compatible with real-time implementation.…

Optimization and Control · Mathematics 2025-09-24 Antoine P. Leeman , Johannes Köhler , Melanie N. Zeilinger

Control design for general nonlinear robotic systems with guaranteed stability and/or safety in the presence of model uncertainties is a challenging problem. Recent efforts attempt to learn a controller and a certificate (e.g., a Lyapunov…

Systems and Control · Electrical Eng. & Systems 2025-06-05 Vivek Sharma , Pan Zhao , Naira Hovakimyan

Reinforcement Learning (RL) and its integration with deep learning have achieved impressive performance in various robotic control tasks, ranging from motion planning and navigation to end-to-end visual manipulation. However, stability is…

Robotics · Computer Science 2020-07-16 Minghao Han , Lixian Zhang , Jun Wang , Wei Pan

Contact-rich manipulation is challenging due to dynamically-changing physical constraints by the contact mode changes undergone during manipulation. This paper proposes a versatile local planning and control framework for contact-rich…

Robotics · Computer Science 2022-10-26 Sotaro Katayama , Tatsunori Taniai , Kazutoshi Tanaka