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Control Barrier Functions (CBFs) have been used to enforce safety and task specifications expressed in Signal Temporal Logic (STL). However, existing CBF-STL approaches typically rely on fixed hyperparameters and per-step optimization,…

Systems and Control · Electrical Eng. & Systems 2026-01-29 Wenliang Liu , Shuo Liu , Wei Xiao , Calin A. Belta

In this paper, we consider the problem of synthesizing a controller in the presence of uncertainty such that the resulting closed-loop system satisfies certain hard constraints while optimizing certain (soft) performance objectives. We…

Systems and Control · Electrical Eng. & Systems 2022-10-17 Navid Hashemi , Xin Qin , Jyotirmoy V. Deshmukh , Georgios Fainekos , Bardh Hoxha , Danil Prokhorov , Tomoya Yamaguchi

Signal Temporal Logic (STL) provides a powerful framework to describe complex tasks involving temporal and logical behavior in dynamical systems. This work addresses controller synthesis for continuous-time systems subject to STL…

Systems and Control · Electrical Eng. & Systems 2026-03-18 Vaishnavi Jagabathula , Pushpak Jagtap

We propose a policy search approach to learn controllers from specifications given as Signal Temporal Logic (STL) formulae. The system model, which is unknown but assumed to be an affine control system, is learned together with the control…

Systems and Control · Electrical Eng. & Systems 2023-03-07 Wenliang Liu , Mirai Nishioka , Calin Belta

We propose a framework based on Recurrent Neural Networks (RNNs) to determine an optimal control strategy for a discrete-time system that is required to satisfy specifications given as Signal Temporal Logic (STL) formulae. RNNs can store…

Systems and Control · Electrical Eng. & Systems 2020-09-25 Wenliang Liu , Noushin Mehdipour , Calin Belta

Ensuring safety and meeting temporal specifications are critical challenges for long-term robotic tasks. Signal temporal logic (STL) has been widely used to systematically and rigorously specify these requirements. However, traditional…

Machine Learning · Computer Science 2023-09-12 Yue Meng , Chuchu Fan

Signal temporal logic (STL) is a powerful tool for describing complex behaviors for dynamical systems. Among many approaches, the control problem for systems under STL task constraints is well suited for learning-based solutions, because…

Systems and Control · Electrical Eng. & Systems 2020-03-16 Peter Varnai , Dimos V. Dimarogonas

Autonomous robotic systems require advanced control frameworks to achieve complex temporal objectives that extend beyond conventional stability and trajectory tracking. Signal Temporal Logic (STL) provides a formal framework for specifying…

Systems and Control · Electrical Eng. & Systems 2025-04-29 Kazunobu Serizawa , Kazumune Hashimoto , Wataru Hashimoto , Masako Kishida , Shigemasa Takai

In this paper, a method for learning a recurrent neural network (RNN) controller that maximizes the robustness of signal temporal logic (STL) specifications is presented. In contrast to previous methods, we consider synthesizing the RNN…

Systems and Control · Electrical Eng. & Systems 2021-12-20 Wataru Hashimoto , Kazumune Hashimoto , Shigemasa Takai

This paper investigates the control synthesis for continuous-time uncertain systems under nested Signal Temporal Logic (STL) specifications containing nested temporal operators. Control Barrier Functions (CBFs) are utilized herein to encode…

Systems and Control · Electrical Eng. & Systems 2026-05-22 Yuzhang Peng , Jiaqi Yan , Wei Wang

This paper introduces a new framework for synthesizing time-varying control barrier functions (TV-CBFs) for general Signal Temporal Logic (STL) specifications using spatiotemporal tubes (STT). We first formulate the STT synthesis as a…

Systems and Control · Electrical Eng. & Systems 2025-10-23 Ratnangshu Das , Subhodeep Choudhury , Pushpak Jagtap

This paper presents a new approach to design verified compositions of Neural Network (NN) controllers for autonomous systems with tasks captured by Linear Temporal Logic (LTL) formulas. Particularly, the LTL formula requires the system to…

Robotics · Computer Science 2022-09-14 Jun Wang , Samarth Kalluraya , Yiannis Kantaros

We present a robust control framework for time-critical systems in which satisfying real-time constraints robustly is of utmost importance for the safety of the system. Signal Temporal Logic (STL) provides a formal means to express a large…

Systems and Control · Electrical Eng. & Systems 2021-12-15 Alena Rodionova , Lars Lindemann , Manfred Morari , George J. Pappas

This paper introduces differentiable higher-order control barrier functions (CBF) that are end-to-end trainable together with learning systems. CBFs are usually overly conservative, while guaranteeing safety. Here, we address their…

Machine Learning · Computer Science 2021-11-23 Wei Xiao , Ramin Hasani , Xiao Li , Daniela Rus

Control Barrier Functions (CBFs) allow for efficient synthesis of controllers to maintain desired invariant properties of safety-critical systems. However, the problem of identifying a CBF remains an open question. As such, this paper…

Systems and Control · Electrical Eng. & Systems 2023-04-11 Prithvi Akella , Apurva Badithela , Richard M. Murray , Aaron D. Ames

We investigate how formal temporal logic specifications can enhance the safety and robustness of reinforcement learning (RL) control in aerospace applications. Using the open source AeroBench F-16 simulation benchmark, we train a Proximal…

Machine Learning · Computer Science 2026-02-24 Hani Beirami , M M Manjurul Islam

In this paper, we propose a control synthesis method for signal temporal logic (STL) specifications with neural networks (NNs). Most of the previous works consider training a controller for only a given STL specification. These approaches,…

Systems and Control · Electrical Eng. & Systems 2022-12-13 Wataru Hashimoto , Kazumune Hashimoto , Masako Kishida , Shigemasa Takai

Temporal Logic (TL) guided control problems have gained interests in recent years. By using the TL, one can specify a wide range of temporal constraints on the system and is widely used in cyber-physical systems. On the other hand, Control…

Systems and Control · Computer Science 2019-03-12 Guang Yang , Roberto Tron , Calin Belta

Safety is a fundamental requirement of control systems. Control Barrier Functions (CBFs) are proposed to ensure the safety of the control system by constructing safety filters or synthesizing control inputs. However, the safety guarantee…

Robotics · Computer Science 2024-03-29 Manan Tayal , Hongchao Zhang , Pushpak Jagtap , Andrew Clark , Shishir Kolathaya

For a class of spatio-temporal tasks defined by a fragment of Signal Temporal Logic (STL), we construct a nonsmooth time-varying control barrier function (CBF) and develop a controller based on a set of simple optimization problems. Each of…

Systems and Control · Electrical Eng. & Systems 2022-08-24 Adrian Wiltz , Dimos V. Dimarogonas
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