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The authors consider stochastic aspects of the stabilization problem for two and three-dimensional Oseen equations with help of feedback control defined on a part of the fluid boundary. Stochastic issues arise when inevitable unpredictable…

Analysis of PDEs · Mathematics 2007-05-23 Jinqiao Duan , Andrei V. Fursikov

Guidance is a cornerstone of modern diffusion models, playing a pivotal role in conditional generation and enhancing the quality of unconditional samples. However, current approaches to guidance scheduling--determining the appropriate…

In order to increase the number of situations in which an intelligent vehicle can operate without human intervention, lateral control is required to accurately guide it in a reference trajectory regardless of the shape of the road or the…

Systems and Control · Electrical Eng. & Systems 2022-10-05 Marcos Moreno-Gonzalez , Antonio Artuñedo , Jorge Villagra , Cédric Join , Michel Fliess

Physical Human-Machine Interaction plays a pivotal role in facilitating collaboration across various domains. When designing appropriate model-based controllers to assist a human in the interaction, the accuracy of the human model is…

Systems and Control · Electrical Eng. & Systems 2025-01-31 Sean Kille , Paul Leibold , Philipp Karg , Balint Varga , Sören Hohmann

This paper is concerned with a constrained stochastic linear-quadratic optimal control problem, in which the terminal state is fixed and the initial state is constrained to lie in a stochastic linear manifold. The controllability of…

Optimization and Control · Mathematics 2019-06-11 Xiuchun Bi , Jingrui Sun , Jie Xiong

Motion control is essential for all autonomous mobile robots, and even more so for spherical robots. Due to the uniqueness of the spherical robot, its motion control must not only ensure accurate tracking of the target commands, but also…

Robotics · Computer Science 2023-10-20 Tao Hu , Xiaoqing Guan , Yixu Wang , Yifan Liu , Bixuan Zhang , Boyu Lin , You Wang , Guang Li

Motion planning for autonomous vehicles requires spatio-temporal motion plans (i.e. state trajectories) to account for dynamic obstacles. This requires a trajectory tracking control process which faithfully tracks planned trajectories. In…

Robotics · Computer Science 2018-11-13 Peng Liu , Brian Paden , Umit Ozguner

This paper is concerned with a discounted optimal control problem of partially observed forward-backward stochastic systems with jumps on infinite horizon. The control domain is convex and a kind of infinite horizon observation equation is…

Optimization and Control · Mathematics 2022-01-04 Yueyang Zheng , Jingtao Shi

Stochastic optimal control with unknown randomness distributions has been studied for a long time, encompassing robust control, distributionally robust control, and adaptive control. We propose a new episodic Bayesian approach that…

Optimization and Control · Mathematics 2025-06-02 Alexander Shapiro , Enlu Zhou , Yifan Lin , Yuhao Wang

This paper presents a continuous-time output feedback adaptive control technique for stabilization and tracking control problems. The adaptive controller is motivated by the classical discrete-time retrospective cost adaptive control…

Systems and Control · Electrical Eng. & Systems 2025-06-11 Mohammad Mirtaba , Ankit Goel

This paper proposes an approach, Spectral Dynamics Embedding Control (SDEC), to optimal control for nonlinear stochastic systems. This method reveals an infinite-dimensional feature representation induced by the system's nonlinear…

Machine Learning · Computer Science 2025-08-27 Zhaolin Ren , Tongzheng Ren , Haitong Ma , Na Li , Bo Dai

This manuscript primarily aims to enhance the performance of whole-body controllers(WBC) for underactuated legged locomotion. We introduce a systematic parameter design mechanism for the floating-base feedback control within the WBC. The…

Robotics · Computer Science 2024-04-02 Shunpeng Yang , Zejun Hong , Sen Li , Patrick Wensing , Wei Zhang , Hua Chen

This paper considers risk-sensitive model predictive control for stochastic systems with a decision-dependent distribution. This class of systems is commonly found in human-robot interaction scenarios. We derive computationally tractable…

Optimization and Control · Mathematics 2025-06-02 Renzi Wang , Mathijs Schuurmans , Panagiotis Patrinos

We consider a stochastic impulse control problem that is motivated by applications such as the optimal exploitation of a natural resource. In particular, we consider a stochastic system whose uncontrolled state dynamics are modelled by a…

Optimization and Control · Mathematics 2024-08-27 Zhesheng Liu , Mihail Zervos

We consider the problem of designing a feedback controller for a multivariable linear time-invariant system which regulates an arbitrary system output to the solution of an equality-constrained convex optimization problem despite unknown…

Optimization and Control · Mathematics 2020-05-12 Liam S. P. Lawrence , John W. Simpson-Porco , Enrique Mallada

In this paper, we are concerned with a stochastic optimal control problem of mean-field type under partial observation, where the state equation is governed by the controlled nonlinear mean-field stochastic differential equation, moreover…

Optimization and Control · Mathematics 2016-11-15 Maonin Tang , Qingxin Meng

The work presented here is a novel biological approach for the compliant control of a robotic arm in real time (RT). We integrate a spiking cerebellar network at the core of a feedback control loop performing torque-driven control. The…

Robotics · Computer Science 2020-04-01 Ignacio Abadia , Francisco Naveros , Jesus A. Garrido , Eduardo Ros , Niceto R. Luque

In this paper, we present a novel control scheme for feedback optimization. That is, we propose a discrete-time controller that can steer the steady state of a physical plant to the solution of a constrained optimization problem without…

Systems and Control · Electrical Eng. & Systems 2020-07-09 Verena Häberle , Adrian Hauswirth , Lukas Ortmann , Saverio Bolognani , Florian Dörfler

Network control theory (NCT) has recently been utilized in neuroscience to facilitate our understanding of brain stimulation effects. A particularly useful branch of NCT is optimal control, which focuses on applying theoretical and…

Other Quantitative Biology · Quantitative Biology 2025-01-17 Kangli Dong , Siya Chen , Ying Dan , Lu Zhang , Xinyi Li , Wei Liang , Yue Zhao , Yu Sun

Neglecting complex aerodynamic effects hinders high-speed yet high-precision multirotor autonomy. In this paper, we present a computationally efficient learning-based model predictive controller that simultaneously optimizes a trajectory…

Robotics · Computer Science 2024-02-19 Babak Akbari , Melissa Greeff