English
Related papers

Related papers: Signal Temporal Logic Planning with Time-Varying R…

200 papers

We study motion planning under Signal Temporal Logic (STL), a useful formalism for specifying spatial-temporal requirements. We pose STL synthesis as a trajectory optimization problem leveraging the STL robustness semantics. To obtain a…

Robotics · Computer Science 2025-11-11 Shaohang Han , Joris Verhagen , Jana Tumova

This study investigates formal-method-based trajectory optimization (TO) for bipedal locomotion, focusing on scenarios where the robot encounters external perturbations at unforeseen times. Our key research question centers around the…

Robotics · Computer Science 2023-10-18 Zhaoyuan Gu , Rongming Guo , William Yates , Yipu Chen , Ye Zhao

We propose a variant of the Rapidly Exploring Random Tree Star (RRT$^{\star}$) algorithm to synthesize trajectories satisfying a given spatio-temporal specification expressed in a fragment of Signal Temporal Logic (STL) for linear systems.…

Systems and Control · Electrical Eng. & Systems 2025-06-13 Gregorio Marchesini , Siyuan Liu , Lars Lindemann , Dimos V. Dimarogonas

This paper presents a technique, named STLCG, to compute the quantitative semantics of Signal Temporal Logic (STL) formulas using computation graphs. STLCG provides a platform which enables the incorporation of logical specifications into…

Systems and Control · Electrical Eng. & Systems 2021-12-28 Karen Leung , Nikos Aréchiga , Marco Pavone

Reinforcement Learning (RL) has shown promise in various robotics applications, yet its deployment on real systems is still limited due to safety and operational constraints. The safe RL field has gained considerable attention in recent…

Robotics · Computer Science 2026-03-19 Sadık Bera Yüksel , Ali Tevfik Buyukkocak , Derya Aksaray

We investigate the task and motion planning problem for Signal Temporal Logic (STL) specifications in robotics. Existing STL methods rely on pre-defined maps or mobility representations, which are ineffective in unstructured real-world…

Robotics · Computer Science 2026-03-03 Bowen Ye , Junyue Huang , Yang Liu , Xiaozhen Qiao , Xiang Yin

Temporal logic is a concise way of specifying complex tasks. But motion planning to achieve temporal logic specifications is difficult, and existing methods struggle to scale to complex specifications and high-dimensional system dynamics.…

Robotics · Computer Science 2023-06-02 Vince Kurtz , Hai Lin

This work presents a novel co-design strategy that integrates trajectory planning and control to handle STL-based tasks in autonomous robots. The method consists of two phases: $(i)$ learning spatio-temporal motion primitives to encapsulate…

Robotics · Computer Science 2025-07-28 Manas Sashank Juvvi , Tushar Dilip Kurne , Vaishnavi J , Shishir Kolathaya , Pushpak Jagtap

There are spatio-temporal rules that dictate how robots should operate in complex environments, e.g., road rules govern how (self-driving) vehicles should behave on the road. However, seamlessly incorporating such rules into a robot control…

Robotics · Computer Science 2022-02-07 Karen Leung , Marco Pavone

Symbolic control problems aim to synthesize control policies for dynamical systems under complex temporal specifications. For such problems, Signal Temporal Logic (STL) is increasingly used as the formal specification language due to its…

Systems and Control · Electrical Eng. & Systems 2023-05-17 Shirantha Welikala , Hai Lin , Panos J. Antsaklis

Signal Temporal Logic (STL) provides a convenient way of encoding complex control objectives for robotic and cyber-physical systems. The state-of-the-art in trajectory synthesis for STL is based on Mixed-Integer Convex Programming (MICP).…

Systems and Control · Electrical Eng. & Systems 2022-05-04 Vince Kurtz , Hai Lin

In this paper, we develop safe reinforcement-learning-based controllers for systems tasked with accomplishing complex missions that can be expressed as linear temporal logic specifications, similar to those required by search-and-rescue…

Systems and Control · Electrical Eng. & Systems 2022-03-30 Aris Kanellopoulos , Filippos Fotiadis , Chuangchuang Sun , Zhe Xu , Kyriakos G. Vamvoudakis , Ufuk Topcu , Warren E. Dixon

We study the verification problem of stochastic systems under signal temporal logic (STL) specifications. We propose a novel approach that enables the verification of the probabilistic satisfaction of STL specifications for nonlinear…

Logic in Computer Science · Computer Science 2025-03-10 Liqian Ma , Zishun Liu , Hongzhe Yu , Yongxin Chen

This paper proposes Elastic Tracker, a flexible trajectory planning framework that can deal with challenging tracking tasks with guaranteed safety and visibility. Firstly, an object detection and intension-free motion prediction method is…

Robotics · Computer Science 2022-03-03 Jialin Ji , Neng Pan , Chao Xu , Fei Gao

Motion planning with simple objectives, such as collision-avoidance and goal-reaching, can be solved efficiently using modern planners. However, the complexity of the allowed tasks for these planners is limited. On the other hand, signal…

Robotics · Computer Science 2025-03-05 Wenliang Liu , Nathalie Majcherczyk , Federico Pecora

We study the temporal robustness of stochastic signals. This topic is of particular interest in interleaving processes such as multi-agent systems where communication and individual agents induce timing uncertainty. For a deterministic…

Systems and Control · Electrical Eng. & Systems 2022-03-15 Lars Lindemann , Alena Rodionova , George J. Pappas

Signal Temporal Logic (STL) is a powerful framework for describing the complex temporal and logical behaviour of the dynamical system. Numerous studies have attempted to employ reinforcement learning to learn a controller that enforces STL…

Systems and Control · Electrical Eng. & Systems 2023-12-05 Naman Saxena , Gorantla Sandeep , Pushpak Jagtap

Signal Temporal Logic (STL) has gained popularity in recent years as a specification language for cyber-physical systems, especially in robotics. Beyond being expressive and easy to understand, STL is appealing because the synthesis…

Robotics · Computer Science 2020-11-17 Vince Kurtz , Hai Lin

Signal Temporal Logic (STL) enables formal specification of complex spatiotemporal constraints for robotic task planning. However, synthesizing long-horizon continuous control trajectories from complex STL specifications is fundamentally…

Robotics · Computer Science 2026-03-17 Hongrui Zheng , Zirui Zang , Ahmad Amine , Cristian Ioan Vasile , Rahul Mangharam

The use of spatio-temporal logics in control is motivated by the need to impose complex spatial and temporal behavior on dynamical systems, and to control these systems accordingly. Synthesizing correct-by-design control laws is a…

Formal Languages and Automata Theory · Computer Science 2020-03-26 Lars Lindemann , Dimos V. Dimarogonas