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Despite the celebrated success of stochastic control approaches for uncertain systems, such approaches are limited in the ability to handle non-Gaussian uncertainties. This work presents an adaptive robust control for linear uncertain…

Optimization and Control · Mathematics 2026-01-13 Xuehui Ma , Shiliang Zhang , Zhiyong Sun , Xiaohui Zhang , Sabita Maharjan

In this paper, we investigate safety-critical control problem of discrete-time stochastic systems with incomplete information, where safety constraints must be enforced using state estimates obtained from noisy measurements. We develop an…

Systems and Control · Electrical Eng. & Systems 2026-04-15 Jianing Zhao , Zhuoting Cai , Xiang Yin

Using reinforcement learning to learn control policies is a challenge when the task is complex with potentially long horizons. Ensuring adequate but safe exploration is also crucial for controlling physical systems. In this paper, we use…

Machine Learning · Computer Science 2019-03-26 Xiao Li , Calin Belta

In this paper, we study a class of finite-time control problems for discrete-time positive linear systems with time-varying state parameters. Although several interesting control problems appearing in population biology, economics, and…

Systems and Control · Electrical Eng. & Systems 2020-08-04 Chengyan Zhao , Masaki Ogura , Kenji Sugimoto

Stable dynamical systems are a flexible tool to plan robotic motions in real-time. In the robotic literature, dynamical system motions are typically planned without considering possible limitations in the robot's workspace. This work…

Robotics · Computer Science 2020-03-26 Matteo Saveriano , Dongheui Lee

Uncertainty and unknown nonlinearity are often inevitable in the suspension systems, which were often solved using fuzzy logic system (FLS) or neural networks (NNs). However, these methods are restricted by the structural complexity of the…

Systems and Control · Electrical Eng. & Systems 2022-04-12 Xiaoyan Hu , Guilin Wen , Shan Yin , Zhao Tan , Zebang Pan

In this work we seek for an approach to integrate safety in the learning process that relies on a partly known state-space model of the system and regards the unknown dynamics as an additive bounded disturbance. We introduce a framework for…

Machine Learning · Computer Science 2018-11-12 Stanislav Fedorov , Antonio Candelieri

Temporal logics provide a formalism for expressing complex system specifications. A large body of literature has addressed the verification and the control synthesis problem for deterministic systems under such specifications. For…

Logic · Mathematics 2020-08-27 Lars Lindemann , George J. Pappas , Dimos V. Dimarogonas

When deploying autonomous agents in unstructured environments over sustained periods of time, adaptability and robustness oftentimes outweigh optimality as a primary consideration. In other words, safety and survivability constraints play a…

Systems and Control · Electrical Eng. & Systems 2021-04-08 Motoya Ohnishi , Gennaro Notomista , Masashi Sugiyama , Magnus Egerstedt

In engineering design, one often wishes to calculate the probability that the performance of a system is satisfactory under uncertainty. State of the art algorithms exist to solve this problem using active learning with Gaussian process…

Machine Learning · Computer Science 2022-11-03 Jonathan Sadeghi , Romain Mueller , John Redford

This article presents a systematic method for designing time-varying Control Barrier Functions (CBF) composed of a time-invariant component and multiple time-dependent components, leveraging structural properties of the system dynamics. The…

Systems and Control · Electrical Eng. & Systems 2025-12-10 Adrian Wiltz , Dimos V. Dimarogonas

This paper considers a stochastic control framework, in which the residual model uncertainty of the dynamical system is learned using a Gaussian Process (GP). In the proposed formulation, the residual model uncertainty consists of a…

Systems and Control · Electrical Eng. & Systems 2023-05-26 Marcel Menner , Karl Berntorp

We address the tracking problem for a class of uncertain non-affine nonlinear systems with high relative degrees, performing non-repetitive tasks. We propose a rigorously proven, robust adaptive learning control scheme that relies on a…

Systems and Control · Electrical Eng. & Systems 2026-02-03 Shuai Gao , Dong Shen , Abdelhamid Tayebi

The paper addresses the problem of passivation of a class of nonlinear systems where the dynamics are unknown. For this purpose, we use the highly flexible, data-driven Gaussian process regression for the identification of the unknown…

Systems and Control · Computer Science 2018-11-19 Thomas Beckers , Sandra Hirche

This paper presents a systematic approach to construct control barrier functions for nonlinear control affine systems subject to arbitrary state and input constraints. Taking inspiration from the reference governor literature, the proposed…

Systems and Control · Electrical Eng. & Systems 2025-10-14 Victor Freire , Marco M. Nicotra

We consider the problem of designing controllers to guarantee safety in a class of nonlinear systems under uncertainties in the system dynamics and/or the environment. We define a class of uncertain control barrier functions (CBFs), and…

Systems and Control · Electrical Eng. & Systems 2023-09-20 Vipul K. Sharma , S. Sivaranjani

We consider bounded extremum seeking controls for time-varying linear systems with uncertain coefficient matrices and measurement uncertainty. Using a new change of variables, Lyapunov functions, and a comparison principle, we provide…

Optimization and Control · Mathematics 2025-01-20 Frederic Mazenc , Michael Malisoff , Emilia Fridman

Using control barrier functions (CBFs) as safety filters provides a computationally inexpensive yet effective method for constructing controllers in safety-critical applications. However, using CBFs requires the construction of a valid CBF,…

Systems and Control · Electrical Eng. & Systems 2024-02-15 Bolun Dai , Prashanth Krishnamurthy , Farshad Khorrami

We consider the problem of achieving prescribed-time stability (PT-S) in a class of hybrid dynamical systems that incorporate switching nonlinear dynamics, exogenous inputs, and resets. By "prescribed-time stability", we refer to the…

Optimization and Control · Mathematics 2023-09-01 Daniel E. Ochoa , Nicolas Espitia , Jorge I. Poveda

We propose a novel feedback controller for a class of uncertain higher-order nonlinear systems, subject to delays in both state measurement and control input signals. Building on the prescribed performance control framework, a…

Optimization and Control · Mathematics 2025-09-11 Thomas Berger , Lampros N. Bikas , Jan Hachmeister , George A. Rovithakis