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Flexible robots may overcome some of the industry's major challenges, such as enabling intrinsically safe human-robot collaboration and achieving a higher payload-to-mass ratio. However, controlling flexible robots is complicated due to…

Learning-based neural network (NN) control policies have shown impressive empirical performance in a wide range of tasks in robotics and control. However, formal (Lyapunov) stability guarantees over the region-of-attraction (ROA) for NN…

Machine Learning · Computer Science 2024-06-06 Lujie Yang , Hongkai Dai , Zhouxing Shi , Cho-Jui Hsieh , Russ Tedrake , Huan Zhang

This paper presents a robust control synthesis and analysis framework for nonlinear systems with uncertain initial conditions. First, a deep learning-based lifting approach is proposed to approximate nonlinear dynamical systems with linear…

Systems and Control · Electrical Eng. & Systems 2026-01-06 Sourav Sinha , Mazen Farhood

Reinforcement learning is showing great potentials in robotics applications, including autonomous driving, robot manipulation and locomotion. However, with complex uncertainties in the real-world environment, it is difficult to guarantee…

Machine Learning · Computer Science 2020-07-28 Minghao Han , Yuan Tian , Lixian Zhang , Jun Wang , Wei Pan

Learning algorithms have shown considerable prowess in simulation by allowing robots to adapt to uncertain environments and improve their performance. However, such algorithms are rarely used in practice on safety-critical systems, since…

Systems and Control · Computer Science 2018-10-02 Spencer M. Richards , Felix Berkenkamp , Andreas Krause

Many modern nonlinear control methods aim to endow systems with guaranteed properties, such as stability or safety, and have been successfully applied to the domain of robotics. However, model uncertainty remains a persistent challenge,…

Robotics · Computer Science 2020-11-20 Andrew J. Taylor , Victor D. Dorobantu , Hoang M. Le , Yisong Yue , Aaron D. Ames

In this paper we address the problem of control Lyapunov-barrier function (CLBF)-based safe stabilization for a class of nonlinear control-affine systems. A difficulty may arise for the case when a constraint has the relative degree larger…

Systems and Control · Electrical Eng. & Systems 2025-09-19 Haechan Pyon , Gyunghoon Park

Stabilizing controller design and region of attraction (RoA) estimation are essential in nonlinear control. Moreover, it is challenging to implement a control Lyapunov function (CLF) in practice when only partial knowledge of the system is…

Systems and Control · Electrical Eng. & Systems 2023-03-20 Shiqing Wei , Prashanth Krishnamurthy , Farshad Khorrami

In this paper, a novel robust tracking control law is proposed for constrained robots under unknown stiffness environment. The stability and the robustness of the controller are proved using a Lyapunov-based approach where the relationship…

Robotics · Computer Science 2014-05-09 Haifa Mehdi , Olfa Boubaker

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

A stochastic model predictive control (MPC) framework is presented in this paper for nonlinear affine systems with stability and feasibility guarantee. We first introduce the concept of stochastic control Lyapunov-barrier function (CLBF)…

Systems and Control · Electrical Eng. & Systems 2024-01-30 Weijiang Zheng , Bing Zhu

Recent advances in deep learning have provided new data-driven ways of controller design to replace the traditional manual synthesis and certification approaches. Employing neural network (NN) as controllers however, presents its own…

Systems and Control · Electrical Eng. & Systems 2025-03-25 Sanghyoup Gu , Ratnesh Kumar

We present a new method for learning control law that stabilizes an unknown nonlinear dynamical system at an equilibrium point. We formulate a system identification task in a self-supervised learning setting that jointly learns a controller…

Systems and Control · Electrical Eng. & Systems 2022-03-17 Priyabrata Saha , Magnus Egerstedt , Saibal Mukhopadhyay

Reinforcement learning (RL) has proven to be particularly effective in solving complex decision-making problems for a wide range of applications. Safe reinforcement learning refers to a class of constrained problems where the constraint…

Systems and Control · Electrical Eng. & Systems 2026-05-13 Dhruv Singh Kushwaha , Zoleikha Abdollahi Biron

In this study, we propose a novel method that integrates Nonlinear Model Predictive Contour Control (NMPCC) with an Exponentially Stabilizing Control Lyapunov Function (ES-CLF) and Exponential Higher-Order Control Barrier Functions to…

Systems and Control · Electrical Eng. & Systems 2024-11-04 Bryan S. Guevara , Viviana Moya , Luis F. Recalde , David Pozo-Espin , Daniel C. Gandolfo , Juan M. Toibero

A new framework is developed for control of constrained nonlinear systems with structured parametric uncertainties. Forward invariance of a safe set is achieved through online parameter adaptation and data-driven model estimation. The new…

Systems and Control · Electrical Eng. & Systems 2020-06-01 Brett T. Lopez , Jean-Jacques E. Slotine , Jonathan P. How

The paper presents a robust parameter learning methodology for identification of nonlinear dynamical system from data while satisfying safety and stability constraints in the context of learning from demonstration (LfD) methods. Extreme…

Systems and Control · Electrical Eng. & Systems 2022-12-12 Iman Salehi , Ghananeel Rotithor , Ashwin P. Dani

The theoretical unification of Nonlinear Model Predictive Control (NMPC) with Control Lyapunov Functions (CLFs) provides a framework for achieving optimal control performance while ensuring stability guarantees. In this paper we present the…

Systems and Control · Electrical Eng. & Systems 2020-11-20 Ruben Grandia , Andrew J. Taylor , Andrew Singletary , Marco Hutter , Aaron D. Ames

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

Design and analysis of stabilizing controllers with safety guarantees for nonlinear systems have received considerable attention in recent years. Control Lyapunov-barrier functions (CLBFs) provide a powerful framework for simultaneously…

Dynamical Systems · Mathematics 2026-04-02 Yiming Meng , Jun Liu