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Ensuring safety under unknown and stochastic dynamics remains a significant challenge in reinforcement learning (RL). In this paper, we propose a model predictive control (MPC)-based safe RL framework, called Probabilistic Ensembles with…

Systems and Control · Electrical Eng. & Systems 2026-04-09 Ali Umut Kaypak , Prashanth Krishnamurthy , Farshad Khorrami

Model Predictive Control (MPC) is effective at generating safe control strategies in constrained scenarios, at the cost of computational complexity. This is especially the case in robots that require high sampling rates and have limited…

We present a model predictive control (MPC) framework for nonlinear stochastic systems that ensures safety guarantee with high probability. Unlike most existing stochastic MPC schemes, our method adopts a set-erosion that converts the…

Systems and Control · Electrical Eng. & Systems 2025-12-16 Zishun Liu , Liqian Ma , Yongxin Chen

Autonomous systems are increasingly deployed in real-world environments, where they must achieve high performance while maintaining safety under state and input constraints. Although Model Predictive Control (MPC) provides a principled…

Robotics · Computer Science 2026-04-28 Hao Wang , Nam Nguyen , Armand Jordana , Ludovic Righetti , Somil Bansal

With the increasing complexity of real-world systems and varying environmental uncertainties, it is difficult to build an accurate dynamic model, which poses challenges especially for safety-critical control. In this paper, a learning-based…

Systems and Control · Electrical Eng. & Systems 2024-08-13 Sihua Zhang , Di-Hua Zhai , Xiaobing Dai , Tzu-yuan Huang , Yuanqing Xia , Sandra Hirche

Model predictive control (MPC) is a popular strategy for urban traffic management that is able to incorporate physical and user defined constraints. However, the current MPC methods rely on finite horizon predictions that are unable to…

Systems and Control · Computer Science 2016-02-03 Sadra Sadraddini , Calin Belta

Model Predictive Control (MPC) has established itself as the primary methodology for constrained control, enabling autonomy across diverse applications. While model fidelity is crucial in MPC, solving the corresponding optimization problem…

Systems and Control · Electrical Eng. & Systems 2026-04-23 Lukas Schroth , Daniel Morton , Amon Lahr , Daniele Gammelli , Andrea Carron , Marco Pavone

Model predictive control (MPC) provides a useful means for controlling systems with constraints, but suffers from the computational burden of repeatedly solving an optimization problem in real time. Offline (explicit) solutions for MPC…

Systems and Control · Electrical Eng. & Systems 2022-09-14 Daniel Tabas , Baosen Zhang

This article introduces the Pareto Control Barrier Function (PCBF) algorithm to maximize the inner safe set of dynamical systems under input constraints. Traditional Control Barrier Functions (CBFs) ensure safety by maintaining system…

Optimization and Control · Mathematics 2025-03-21 Xiaoyang Cao , Zhe Fu , Alexandre M. Bayen

A stochastic model predictive control (MPC) framework is presented in this paper for nonlinear affine systems with stability and feasibility guarantee. We first introduce the concept of stochastic control Lyapunov-barrier function (CLBF)…

Systems and Control · Electrical Eng. & Systems 2024-01-30 Weijiang Zheng , Bing Zhu

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 tackling safety-critical stochastic Reinforcement Learning (RL) tasks with a sample-based, model-based approach. At the core of the method lies a Model Predictive Control (MPC) scheme that acts as function approximation,…

Systems and Control · Electrical Eng. & Systems 2025-07-30 Filippo Airaldi , Bart De Schutter , Azita Dabiri

In this paper, we propose a safety-critical controller based on time-varying control barrier functions (CBFs) for a robot with an unicycle model in the continuous-time domain to achieve navigation and dynamic collision avoidance. Unlike…

Robotics · Computer Science 2023-07-18 Jihao Huang , Zhitao Liu , Jun Zeng , Xuemin Chi , Hongye Su

Control Barrier Functions (CBFs) have been demonstrated to be a powerful tool for safety-critical controller design for nonlinear systems. Existing design paradigms do not address the gap between theory (controller design with continuous…

Systems and Control · Electrical Eng. & Systems 2022-06-15 Andrew J. Taylor , Victor D. Dorobantu , Ryan K. Cosner , Yisong Yue , Aaron D. Ames

Multi-quadrotor systems face significant challenges in decentralized control, particularly with safety and coordination under sensing and communication limitations. State-of-the-art methods leverage Control Barrier Functions (CBFs) to…

Robotics · Computer Science 2024-09-27 Manohari Goarin , Guanrui Li , Alessandro Saviolo , Giuseppe Loianno

Dynamic obstacle avoidance is a challenging topic for optimal control and optimization-based trajectory planning problems. Many existing works use Control Barrier Functions (CBFs) to enforce safety constraints for control systems. CBFs are…

Robotics · Computer Science 2025-02-10 Shuo Liu , Yihui Mao , Calin A. Belta

Modern nonlinear control theory seeks to endow systems with properties of stability and safety, and have been deployed successfully in multiple domains. Despite this success, model uncertainty remains a significant challenge in synthesizing…

Systems and Control · Electrical Eng. & Systems 2019-12-24 Andrew Taylor , Andrew Singletary , Yisong Yue , Aaron Ames

We consider safety-critical multi-agent systems with distributed control architectures and potentially varying network topologies. While learning-based distributed control enables scalability and high performance, a lack of formal safety…

Systems and Control · Electrical Eng. & Systems 2026-04-01 Jonas Ohnemus , Alexandre Didier , Ahmed Aboudonia , Andrea Carron , Melanie N. Zeilinger

In this paper, we present a controller framework that synthesizes control policies for Jump Markov Linear Systems subject to stochastic mode switches and imperfect mode estimation. Our approach builds on safe and robust methods for Model…

Systems and Control · Electrical Eng. & Systems 2024-09-17 Zakariya Laouar , Qi Heng Ho , Rayan Mazouz , Tyler Becker , Zachary N. Sunberg

The increasing complexity of modern robotic systems and the environments they operate in necessitates the formal consideration of safety in the presence of imperfect measurements. In this paper we propose a rigorous framework for…

Systems and Control · Electrical Eng. & Systems 2021-04-30 Ryan K. Cosner , Andrew W. Singletary , Andrew J. Taylor , Tamas G. Molnar , Katherine L. Bouman , Aaron D. Ames