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Neural networks have become increasingly popular in controller design due to their versatility and efficiency. However, their integration into feedback systems can pose stability challenges, particularly in the presence of uncertainties.…

Optimization and Control · Mathematics 2025-03-04 Yuhao Zhang , Xiangru Xu

A flexible operation of multiple robotic manipulators in a shared workspace requires an online trajectory planning with static and dynamic collision avoidance. In this work, we propose a real-time capable motion control algorithm, based on…

Robotics · Computer Science 2024-10-16 Nigora Gafur , Gajanan Kanagalingam , Martin Ruskowski

This paper considers collision avoidance for vehicles with first-order nonholonomic constraints maintaining nonzero forward speeds, moving within dynamic environments. We leverage the concept of control barrier functions (CBFs) to…

Systems and Control · Electrical Eng. & Systems 2023-10-03 Aurora Haraldsen , Martin S. Wiig , Aaron D. Ames , Kristin Y. Pettersen

Many systems exhibit a mixture of continuous and discrete dynamics. We consider a family of mixed-integer non-convex non-linear optimisation problems obtained in discretisations of optimal control of such systems. For this family, a…

Optimization and Control · Mathematics 2020-01-23 Jorn Baayen , Jakub Marecek

We present a novel method of optimal robust control through quadratic programs that offers tracking stability while subject to input and state-based constraints as well as safety-critical constraints for nonlinear dynamical robotic systems…

Systems and Control · Electrical Eng. & Systems 2021-04-14 Quan Nguyen , Koushil Sreenath

Aiming to promote the wide adoption of safety filters for autonomous aerial robots, this paper presents a safe control architecture designed for seamless integration into widely used open-source autopilots. Departing from methods that…

Robotics · Computer Science 2025-04-23 Nazar Misyats , Marvin Harms , Morten Nissov , Martin Jacquet , Kostas Alexis

This paper introduces a novel approach that integrates future closest point predictions into the distance constraints of a collision avoidance controller, leveraging convex hulls with closest point distance calculations. By addressing…

Recently, the centroidal momentum dynamics has received substantial attention to plan dynamically consistent motions for robots with arms and legs in multi-contact scenarios. However, it is also non convex which renders any optimization…

Robotics · Computer Science 2018-02-27 Brahayam Ponton , Alexander Herzog , Andrea Del Prete , Stefan Schaal , Ludovic Righetti

We present safe control of partially-observed linear time-varying systems in the presence of unknown and unpredictable process and measurement noise. We introduce a control algorithm that minimizes dynamic regret, i.e., that minimizes the…

Systems and Control · Electrical Eng. & Systems 2023-04-03 Hongyu Zhou , Vasileios Tzoumas

Endowing nonlinear systems with safe behavior is increasingly important in modern control. This task is particularly challenging for real-life control systems that must operate safely in dynamically changing environments. This paper…

Systems and Control · Electrical Eng. & Systems 2022-12-06 Tamas G. Molnar , Adam K. Kiss , Aaron D. Ames , Gábor Orosz

In this paper, we present an algorithm for synthesizing certificates---so-called barrier certificates---for safety of hybrid dynamical systems. Unlike the usual approach of using constraint solvers to compute the certificate from the system…

Systems and Control · Computer Science 2018-10-23 Stefan Ratschan

This work is concerned with synthesizing safety controllers for discrete-time nonlinear systems beyond polynomials with unknown mathematical models using the notion of k-inductive control barrier certificates (k-CBCs). Conventional CBC…

Systems and Control · Electrical Eng. & Systems 2024-12-11 Ben Wooding , Abolfazl Lavaei

Designing safety-critical control for robotic manipulators is challenging, especially in a cluttered environment. First, the actual trajectory of a manipulator might deviate from the planned one due to the complex collision environments and…

Robotics · Computer Science 2022-11-14 Xuda Ding , Han Wang , Yi Ren , Yu Zheng , Cailian Chen , Jianping He

This paper proposes a new robust data-driven control method for linear systems with bounded disturbances, where the system model and disturbances are unknown. Due to disturbances, accurately determining the true system becomes challenging…

Systems and Control · Electrical Eng. & Systems 2024-05-07 Kaijian Hu , Tao Liu

We explore the problem of stabilization of unstable periodic orbits in discrete nonlinear dynamical systems. This work proposes the generalization of predictive control method for resolving the stabilization problem. Our method embodies the…

Systems and Control · Electrical Eng. & Systems 2024-09-23 D. Dmitrishin , E. Iacob , A. Stokolos

Risk-aware navigation in unknown environments is a fundamental challenge for autonomous vehicles operating in complex urban systems. To address this issue, this paper presents a differentiable optimization layered safety-critical control…

Systems and Control · Electrical Eng. & Systems 2026-05-19 Jinyang Dong , Shizhen Wu , Yongchun Fang

This paper develops a new control design for guaranteeing a vehicle's safety during lane change maneuvers in a complex traffic environment. The proposed method uses a finite state machine (FSM), where a quadratic program based optimization…

Systems and Control · Electrical Eng. & Systems 2021-03-24 Suiyi He , Jun Zeng , Bike Zhang , Koushil Sreenath

Control barrier functions are widely used to synthesize safety-critical controls. However, the presence of Gaussian-type noise in dynamical systems can generate unbounded signals and potentially result in severe consequences. Although…

Systems and Control · Electrical Eng. & Systems 2023-12-21 Chuanzheng Wang , Yiming Meng , Jun Liu , Stephen Smith

Nonlinear dynamics and safety constraints typically result in a nonlinear programming problem when applying model predictive control to achieve safe output consensus. To avoid the heavy computational burden of solving a nonlinear…

Systems and Control · Electrical Eng. & Systems 2026-01-21 Chao Wang , Shuyuan Zhang , Lei Wang

This paper addresses the challenge of ensuring safety in stochastic control systems with high-relative-degree constraints, while maintaining feasibility and mitigating conservatism in risk evaluation. Control Barrier Functions (CBFs)…

Optimization and Control · Mathematics 2025-12-08 Shuo Liu , Calin A. Belta
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