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This article develops a methodology that enables learning an objective function of an optimal control system from incomplete trajectory observations. The objective function is assumed to be a weighted sum of features (or basis functions)…

Robotics · Computer Science 2021-05-07 Wanxin Jin , Dana Kulić , Shaoshuai Mou , Sandra Hirche

Optimal feedback control (OFC) is a theory from the motor control literature that explains how humans move their body to achieve a certain goal, e.g., pointing with the finger. OFC is based on the assumption that humans aim to control their…

Human-Computer Interaction · Computer Science 2022-04-21 Florian Fischer , Arthur Fleig , Markus Klar , Jörg Müller

The study of density-dependent stochastic population processes is important from a historical perspective as well as from the perspective of a number of existing and emerging applications today. In more recent applications of these…

Optimization and Control · Mathematics 2017-09-26 Yingdong Lu , Mark Squillante , Chai Wah Wu

Motion planning for autonomous driving must account for multi-modal uncertainty in both the intentions and trajectories of surrounding vehicles. Handling uncertainty in a worst-case manner guarantees robustness but often leads to excessive…

Robotics · Computer Science 2026-05-22 Zekun Xing , Ramkrishna Chaudhari , Marion Leibold , Dirk Wollherr , Martin Buss

We review recent work on feedback control of one-dimensional colloidal systems, both with instantaneous feedback and with time delay. The feedback schemes are based on measurement of the average particle position, a natural control target…

Soft Condensed Matter · Physics 2015-12-14 R. Gernert , S. A. M. Loos , K. Lichtner , S. H. L. Klapp

This article concerns the development of the Vector Field Orientation - Active Disturbance Rejection (VFO-ADR) cascaded path-following controller for underactuated vehicles moving in a 3-dimensional space. The proposed concept of a cascaded…

Systems and Control · Electrical Eng. & Systems 2020-08-04 Krzysztof Łakomy , Maciej Marcin Michałek

This paper is concerned with the design of optimal control for finite-dimensional control-affine nonlinear dynamical systems. We introduce an optimal control problem that specifically optimizes nonlinear observability in addition to…

Systems and Control · Computer Science 2017-08-03 Atiye Alaeddini , Kristi A. Morgansen , Mehran Mesbahi

Feedback optimization enables autonomous optimality seeking of a dynamical system through its closed-loop interconnection with iterative optimization algorithms. Among various iteration structures, model-based approaches require the…

Optimization and Control · Mathematics 2026-05-26 Zhiyu He , Saverio Bolognani , Michael Muehlebach , Florian Dörfler

This paper considers the relaxed version of the transport problem for general nonlinear control systems, where the objective is to design time-varying feedback laws that transport a given initial probability measure to a target probability…

Systems and Control · Computer Science 2018-07-27 Karthik Elamvazhuthi , Piyush Grover , Spring Berman

Optimal processes in stochastic thermodynamics are a frontier for understanding the control and design of non-equilibrium systems, with broad practical applications in biology, chemistry, and nanoscale/mesoscale systems. Optimal mass…

Statistical Mechanics · Physics 2026-01-15 Atul Tanaji Mohite , Heiko Rieger

Learning to perform perfect tracking tasks based on measurement data is desirable in the controller design of systems operating repetitively. This motivates the present paper to seek an optimization-based design approach for iterative…

Systems and Control · Electrical Eng. & Systems 2019-08-08 Deyuan Meng , Jingyao Zhang

In this paper, we consider a geometric formalism for optimal control of underactuated mechanical systems. Our techniques are an adaptation of the classical Skinner and Rusk approach for the case of Lagrangian dynamics with higher-order…

Mathematical Physics · Physics 2015-05-14 L. Colombo , D. Martin de Diego , M. Zuccalli

Neural networks have been increasingly employed in Model Predictive Controller (MPC) to control nonlinear dynamic systems. However, MPC still poses a problem that an achievable update rate is insufficient to cope with model uncertainty and…

Robotics · Computer Science 2022-07-15 Taekyung Kim , Hojin Lee , Seongil Hong , Wonsuk Lee

Sample-based trajectory optimisers are a promising tool for the control of robotics with non-differentiable dynamics and cost functions. Contemporary approaches derive from a restricted subclass of stochastic optimal control where the…

Robotics · Computer Science 2021-10-07 Tom Lefebvre , Guillaume Crevecoeur

Visual observation of objects is essential for many robotic applications, such as object reconstruction and manipulation, navigation, and scene understanding. Machine learning algorithms constitute the state-of-the-art in many fields but…

Robotics · Computer Science 2025-03-31 Heiko Renz , Maximilian Krämer , Frank Hoffmann , Torsten Bertram

A method is devised for numerically solving a class of finite-horizon optimal control problems subject to cascade linear discrete-time dynamics. It is assumed that the linear state and input inequality constraints, and the quadratic measure…

Optimization and Control · Mathematics 2017-10-13 Michael Cantoni , Farhad Farokhi , Eric C. Kerrigan , Iman Shames

A time optimal attitude control problem is studied for the dynamics of a rigid body. The objective is to minimize the time to rotate the rigid body to a desired attitude and angular velocity while subject to constraints on the control…

Optimization and Control · Mathematics 2007-09-19 Taeyoung Lee , Melvin Leok , N. Harris McClamroch

A stochastic control of the vibrational motion for a single trapped ion/atom is proposed. It is based on the possibility to continously monitor the motion through a light field meter. The output from the measurement process should be then…

Quantum Physics · Physics 2007-05-23 S. Mancini

A Cahn-Hilliard equation with stochastic multiplicative noise and a random convection term is considered. The model describes isothermal phase-separation occurring in a moving fluid, and accounts for the randomness appearing at the…

Analysis of PDEs · Mathematics 2021-04-21 Luca Scarpa

Humans constantly move their eyes, even during visual fixations, where miniature (or fixational) eye movements occur involuntarily. Fixational eye movements comprise slow components (physiological drift and tremor) and fast components…

Applications · Statistics 2025-05-27 Lisa Schwetlick , Sebastian Reich , Ralf Engbert