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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

This paper aims to develop distributed feedback control algorithms that allow cooperative locomotion of quadrupedal robots which are coupled to each other by holonomic constraints. These constraints can arise from collaborative manipulation…

Optimization and Control · Mathematics 2019-10-03 Kaveh Akbari Hamed , Vinay R. Kamidi , Abhishek Pandala , Wen-Loong Ma , Aaron D. Ames

With the development of autonomous driving technology, there are increasing demands for vehicle control, and MPC has become a widely researched topic in both industry and academia. Existing MPC control methods based on vehicle kinematics or…

Systems and Control · Electrical Eng. & Systems 2024-07-19 Jiarui Zhang , Aijing Kong , Yu Tang , Zhichao Lv , Lulu Guo , Peng Hang

This paper suggests to replace PIs and PIDs, which play a key role in control engineering, by intelligent Proportional-Derivative feedback loops, or iPDs, which are derived from model-free control. This standpoint is enhanced by a…

Systems and Control · Electrical Eng. & Systems 2021-07-08 Michel Fliess , Cédric Join

This paper studies equality-constrained composite minimization problems. This class of problems, capturing regularization terms and inequality constraints, naturally arises in a wide range of engineering and machine learning applications.…

Optimization and Control · Mathematics 2026-04-13 Veronica Centorrino , Francesca Rossi , Francesco Bullo , Giovanni Russo

The PID controller remains the most widely adopted control architecture, with groundbreaking success across extensive implications. However, optimal parameter tuning for PID controller remains a critical challenge. Existing theories…

Systems and Control · Electrical Eng. & Systems 2025-07-17 Zimao Sheng , Hongan Yang , Jiakang Wang , Tong Zhang

This paper proposes a novel hierarchical model predictive control (MPC) strategy that guarantees overall system stability. This method differs significantly from previous approaches to guaranteeing overall stability, which have relied upon…

Optimization and Control · Mathematics 2013-09-24 Chris Vermillion , Amor Menezes , Ilya Kolmanovsky

Stable gait generation is a crucial problem for legged robot locomotion as this impacts other critical performance factors such as, e.g. mobility over an uneven terrain and power consumption. Gait generation stability results from the…

Robotics · Computer Science 2023-07-18 Vyacheslav Kovalev , Anna Shkromada , Henni Ouerdane , Pavel Osinenko

This article presents a motion planning and control framework for flexible robotic manipulators, integrating deep reinforcement learning (DRL) with a nonlinear partial differential equation (PDE) controller. Unlike conventional approaches…

Robotics · Computer Science 2025-06-11 Amir Hossein Barjini , Seyed Adel Alizadeh Kolagar , Sadeq Yaqubi , Jouni Mattila

Conventional multi-rotors are under-actuated systems, hindering them from independently controlling attitude from position. In this study, we present several distinct configurations that incorporate additional control inputs for…

Classical adaptive control proves total-system stability for control of linear plants, but only for plants meeting very restrictive assumptions. Approximate Dynamic Programming (ADP) has the potential, in principle, to ensure stability…

adap-org · Physics 2015-06-24 Paul J. Werbos

Robust locomotion control depends on accurate state estimations. However, the sensors of most legged robots can only provide partial and noisy observations, making the estimation particularly challenging, especially for external states like…

Robotics · Computer Science 2024-01-03 Junfeng Long , Zirui Wang , Quanyi Li , Jiawei Gao , Liu Cao , Jiangmiao Pang

This paper applies a recently developed geometric PID controller to stabilize a three-link planar bipedal hybrid dynamic walking model. The three links represent the robot torso and two kneeless legs, with an independent control torque…

Systems and Control · Computer Science 2020-11-18 W. M. L. T. Weerakoon , T. W. U. Madhushani , D. H. S. Maithripala , J. M. Berg

Keeping the stability can be counted as the essential ability of a humanoid robot to step out of the laboratory to work in our real environment. Since humanoid robots have similar kinematic to a human, humans expect these robots to be…

Robotics · Computer Science 2019-11-19 Mohammadreza Kasaei , Nuno Lau , Artur Pereira

Attitude stabilization of unmanned aerial vehicles (UAVs) in uncertain environments presents significant challenges due to nonlinear dynamics, parameter variations, and sensor limitations. This paper presents a comparative study of…

Systems and Control · Electrical Eng. & Systems 2026-03-16 Tanay Kumar , Raktim Bhattacharya

Soft robotics focuses on designing robots with highly deformable materials, allowing them to adapt and operate safely and reliably in unstructured and variable environments. While soft robots offer increased compliance over rigid body…

Robotics · Computer Science 2024-08-20 Zach J. Patterson , Emily Sologuren , Cosimo Della Santina , Daniela Rus

Mobile manipulators are envisioned to serve more complex roles in people's everyday lives. With recent breakthroughs in large language models, task planners have become better at translating human verbal instructions into a sequence of…

Robotics · Computer Science 2026-03-12 Xintong Du , Siqi Zhou , Angela P. Schoellig

Robust Model Predictive Control (MPC) for nonlinear systems is a problem that poses significant challenges as highlighted by the diversity of approaches proposed in the last decades. Often compromises with respect to computational load,…

Systems and Control · Electrical Eng. & Systems 2024-02-21 Daniel D. Leister , Justin P. Koeln

The proportional-integral-derivative (PID) control law is often overlooked as a computational imitation of the critic control in human decision. This paper provides a formulation to remedy this problem. Further, based on the characteristic…

Systems and Control · Electrical Eng. & Systems 2020-06-11 Oluwasegun Ayokunle Somefun , Kayode Akingbade , Folasade Dahunsi

The computational power of mobile robots is currently insufficient to achieve torque level whole-body Model Predictive Control (MPC) at the update rates required for complex dynamic systems such as legged robots. This problem is commonly…

Robotics · Computer Science 2019-08-12 Ruben Grandia , Farbod Farshidian , René Ranftl , Marco Hutter