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Safety in dynamic systems with prevalent uncertainties is crucial. Current robust safe controllers, designed primarily for uni-modal uncertainties, may be either overly conservative or unsafe when handling multi-modal uncertainties. To…

Robotics · Computer Science 2023-10-02 Tianhao Wei , Liqian Ma , Ravi Pandya , Changliu Liu

Both the optimal value function and the optimal policy can be used to model an optimal controller based on the duality established by the Bellman equation. Even with this duality, no parametric model has been able to output both policy and…

Systems and Control · Electrical Eng. & Systems 2020-06-02 Jicheng Shi , Yingzhao Lian , Colin N. Jones

When sales of a product are affected by randomness in demand, retailers can use dynamic pricing strategies to maximise their profits. In this article the pricing problem is formulated as a stochastic optimal control problem, where the…

Optimization and Control · Mathematics 2017-10-17 Asbjørn N. Riseth , Jeff N. Dewynne , Chris L. Farmer

We develop optimal control strategies for Autonomous Vehicles (AVs) that are required to meet complex specifications imposed by traffic laws and cultural expectations of reasonable driving behavior. We formulate these specifications as…

We investigate the problem of synthesizing distributionally robust control policies for stochastic systems under safety and reach-avoid specifications. Using a game-theoretical framework, we consider the setting where the probability…

Systems and Control · Electrical Eng. & Systems 2025-11-04 Yu Chen , Yuda Li , Shaoyuan Li , Xiang Yin

The primary purpose of this article is to accomplish safe grasping task by means of dual one-link flexible manipulators. In order to design a force-sensor-less force control, the direct force control problem is reduced to common motion…

Systems and Control · Electrical Eng. & Systems 2022-08-19 Mahdi Hejrati

In this paper, we propose a novel method for addressing Optimal Control Problems (OCPs) with input-affine dynamics and cost functions. This approach adopts a Model Predictive Control (MPC) strategy, wherein a controller is synthesized to…

Optimization and Control · Mathematics 2024-06-18 Morgan Jones , Yuanbo Nie , Matthew M. Peet

Reinforcement learning (RL) can improve control performance by seeking to learn optimal control policies in the end-use environment for vehicles and other systems. To accomplish this, RL algorithms need to sufficiently explore the state and…

Systems and Control · Electrical Eng. & Systems 2024-05-21 Habtamu Hailemichael , Beshah Ayalew , Andrej Ivanco

This paper proposes a safety controller for control-affine nonlinear systems with unmodelled dynamics and disturbances to improve closed-loop robustness. Uncertainty estimation-based control barrier functions (CBFs) are utilized to ensure…

Systems and Control · Electrical Eng. & Systems 2024-02-15 Ersin Daş , Skylar X. Wei , Joel W. Burdick

This work presents a density-based framework for safe navigation in dynamic environments characterized by time-varying obstacle sets and time-varying target regions. We propose an analytical construction of time-varying density functions…

Robotics · Computer Science 2025-06-10 Sriram S. K. S Narayanan , Joseph Moyalan , Umesh Vaidya

This work applies universal adaptive control to control barrier functions to achieve forward invariance of a safe set despite the presence of unmatched parametric uncertainties. The approach combines two ideas. The first is to construct a…

Systems and Control · Electrical Eng. & Systems 2022-08-17 Brett T. Lopez , Jean-Jacques Slotine

Operational constraint violations may occur when deep reinforcement learning (DRL) agents interact with real-world active distribution systems to learn their optimal policies during training. This letter presents a universal…

Systems and Control · Electrical Eng. & Systems 2023-08-22 Hoang Tien Nguyen , Dae-Hyun Choi

This paper studies the design of controllers that guarantee stability and safety of nonlinear control affine systems with parametric uncertainty in both the drift and control vector fields. To this end, we introduce novel classes of robust…

Optimization and Control · Mathematics 2022-08-12 Max H. Cohen , Calin Belta , Roberto Tron

In this paper, we consider the problem of controller design using approximately bisimilar abstractions with an emphasis on safety and reachability specifications. We propose abstraction-based approaches to solve both classes of problems. We…

Systems and Control · Computer Science 2011-06-17 Antoine Girard

Inspired by the success of imitation and inverse reinforcement learning in replicating expert behavior through optimal control, we propose a learning based approach to safe controller synthesis based on control barrier functions (CBFs). We…

Systems and Control · Electrical Eng. & Systems 2020-11-10 Alexander Robey , Haimin Hu , Lars Lindemann , Hanwen Zhang , Dimos V. Dimarogonas , Stephen Tu , Nikolai Matni

Safe autonomy is important in many application domains, especially for applications involving interactions with humans. Existing safe control algorithms are similar to one another in the sense that: they all provide control inputs to…

Systems and Control · Electrical Eng. & Systems 2019-10-30 Tianhao Wei , Changliu Liu

Safety is the major consideration in controlling complex dynamical systems using reinforcement learning (RL), where the safety certificate can provide provable safety guarantee. A valid safety certificate is an energy function indicating…

Machine Learning · Computer Science 2022-05-27 Haitong Ma , Changliu Liu , Shengbo Eben Li , Sifa Zheng , Jianyu Chen

Autonomous vehicles face tremendous challenges while interacting with human drivers in different kinds of scenarios. Developing control methods with safety guarantees while performing interactions with uncertainty is an ongoing research…

Robotics · Computer Science 2021-04-30 Yiwei Lyu , Wenhao Luo , John M. Dolan

The paper addresses a continuous-time continuous-space chance-constrained stochastic optimal control (SOC) problem where the probability of failure to satisfy given state constraints is explicitly bounded. We leverage the notion of exit…

Systems and Control · Electrical Eng. & Systems 2025-11-26 Apurva Patil , Alfredo Duarte , Fabrizio Bisetti , Takashi Tanaka

Providing safety guarantees for learning-based controllers is important for real-world applications. One approach to realizing safety for arbitrary control policies is safety filtering. If necessary, the filter modifies control inputs to…

Systems and Control · Electrical Eng. & Systems 2023-12-18 Lukas Brunke , Siqi Zhou , Mingxuan Che , Angela P. Schoellig