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Optimal control problems with constraints ensuring safety and convergence to desired states can be mapped onto a sequence of real time optimization problems through the use of Control Barrier Functions (CBFs) and Control Lyapunov Functions…

Systems and Control · Electrical Eng. & Systems 2019-12-10 Wei Xiao , Calin A. Belta , Christos G. Cassandras

Designing agile locomotion for quadruped robots often requires extensive expertise and tedious manual tuning. In this paper, we present a system to automate this process by leveraging deep reinforcement learning techniques. Our system can…

Robots must make and break contact with the environment to perform useful tasks, but planning and control through contact remains a formidable challenge. In this work, we achieve real-time contact-implicit model predictive control with a…

Robotics · Computer Science 2025-05-06 Vince Kurtz , Alejandro Castro , Aykut Özgün Önol , Hai Lin

Quadruped robots are machines intended for challenging and harsh environments. Despite the progress in locomotion strategy, safely recovering from unexpected falls or planned drops is still an open problem. It is further made more difficult…

Robotics · Computer Science 2023-09-14 Francesco Roscia , Michele Focchi , Andrea Del Prete , Darwin G. Caldwell , Claudio Semini

Likelihood-based policy gradient methods are the dominant approach for training robot control policies from rewards. These methods rely on differentiable action likelihoods, which constrain policy outputs to simple distributions like…

Learning-based control methods utilize run-time data from the underlying process to improve the controller performance under model mismatch and unmodeled disturbances. This is beneficial for optimizing industrial processes, where the…

Systems and Control · Electrical Eng. & Systems 2021-11-22 Efe C. Balta , Kira Barton , Dawn M. Tilbury , Alisa Rupenyan , John Lygeros

When balancing, a humanoid robot can be easily subjected to unexpected disturbances like external pushes. In these circumstances, reactive movements as steps become a necessary requirement in order to avoid potentially harmful falling…

Robotics · Computer Science 2017-07-31 Stefano Dafarra , Francesco Romano , Gabriele Nava , Francesco Nori

While Approximate Dynamic Programming has successfully been used in many applications involving discrete states and inputs such as playing the games of Tetris or chess, it has not been used in many continuous state and input space…

Systems and Control · Computer Science 2019-02-19 Angel Romero , Paul N. Beuchat , Yvonne R. Stürz , Roy S. Smith , John Lygeros

Wheeled-legged robots combine the efficiency of wheels with the versatility of legs, but face significant energy optimization challenges when navigating diverse environments. In this work, we present a hierarchical control framework that…

Robotics · Computer Science 2026-01-19 Xu Yang , Wei Yang , Kaibo He , Bo Yang , Yanan Sui , Yilin Mo

This paper applies a reinforcement learning (RL) method to solve infinite horizon continuous-time stochastic linear quadratic problems, where drift and diffusion terms in the dynamics may depend on both the state and control. Based on…

Optimization and Control · Mathematics 2021-09-17 Na Li , Xun Li , Jing Peng , Zuo Quan Xu

Simplified models are useful to increase the computational efficiency of a motion planning algorithm, but their lack of accuracy have to be managed. We propose two feasibility constraints to be included in a Single Rigid Body Dynamicsbased…

We develop an algorithm that combines model-based and model-free methods for solving a nonlinear optimal control problem with a quadratic cost in which the system model is given by a linear state-space model with a small additive nonlinear…

Optimization and Control · Mathematics 2022-03-23 Yansong Li , Shuo Han

This paper studies the online optimal control problem with time-varying convex stage costs for a time-invariant linear dynamical system, where a finite lookahead window of accurate predictions of the stage costs are available at each time.…

Optimization and Control · Mathematics 2019-10-23 Yingying Li , Xin Chen , Na Li

Transferring solutions found by trajectory optimization to robotic hardware remains a challenging task. When the optimization fully exploits the provided model to perform dynamic tasks, the presence of unmodeled dynamics renders the motion…

Robotics · Computer Science 2019-02-11 Ruben Grandia , Farbod Farshidian , Alexey Dosovitskiy , René Ranftl , Marco Hutter

Robots operating in human environments need various skills, like slow and fast walking, turning, side-stepping, and many more. However, building robot controllers that can exhibit such a large range of behaviors is a challenging problem…

Robotics · Computer Science 2022-02-28 Tianyu Li , Jungdam Won , Sehoon Ha , Akshara Rai

Legged robots have significant potential to operate in highly unstructured environments. The design of locomotion control is, however, still challenging. Currently, controllers must be either manually designed for specific robots and tasks,…

Robotics · Computer Science 2021-07-19 Mathias Thor , Poramate Manoonpong

Quadrupedal wheeled-legged robots combine the advantages of legged and wheeled locomotion to achieve superior mobility, but executing dynamic jumps remains a significant challenge due to the additional degrees of freedom introduced by…

Robotics · Computer Science 2026-02-26 Xuanqi Zeng , Lingwei Zhang , Linzhu Yue , Zhitao Song , Hongbo Zhang , Tianlin Zhang , Yun-Hui Liu

This paper presents a trajectory generation method that optimizes a quadratic cost functional with respect to linear system dynamics and to linear input and state constraints. The method is based on continuous-time flatness-based trajectory…

Systems and Control · Computer Science 2012-11-27 Jean-Francois Stumper , Ralph Kennel

In this work, we introduce and study the controllability of the trajectories of a linear dynamical system, which can be used to solve the minimization of a quadratic function in finite dimension. We named this dynamical system the…

Optimization and Control · Mathematics 2025-08-22 Jean-Jacques Godeme

This paper investigates the control problem of steering a group of spherical mobile robots to cooperatively transport a spherical object. By controlling the movements of the robots to exert appropriate contact (pushing) forces, it is…

Systems and Control · Electrical Eng. & Systems 2025-12-16 Si Wu , Zhengyan Qin , Tengfei Liu , Zhong-Ping Jiang
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