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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

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

Sampling-based motion planning algorithms are widely used in robotics because they are very effective in high-dimensional spaces. However, the success rate and quality of the solutions are determined by an adequate selection of their…

Trajectory planning is a critical process that enables autonomous systems to safely navigate complex environments. Signal temporal logic (STL) specifications are an effective way to encode complex temporally extended objectives for…

Systems and Control · Electrical Eng. & Systems 2024-03-20 Parv Kapoor , Eunsuk Kang , Romulo Meira-Goes

In this paper we present a method for automatically planning robust optimal paths for a group of robots that satisfy a common high level mission specification. Each robot's motion in the environment is modeled as a weighted transition…

Robotics · Computer Science 2015-03-13 Alphan Ulusoy , Stephen L. Smith , Xu Chu Ding , Calin Belta

This paper presents an incremental replanning algorithm, dubbed LTL-D*, for temporal-logic-based task planning in a dynamically changing environment. Unexpected changes in the environment may lead to failures in satisfying a task…

Robotics · Computer Science 2024-04-02 Jiming Ren , Haris Miller , Karen M. Feigh , Samuel Coogan , Ye Zhao

In this paper we present a novel probabilistic sampling-based motion planning algorithm called the Fast Marching Tree algorithm (FMT*). The algorithm is specifically aimed at solving complex motion planning problems in high-dimensional…

Robotics · Computer Science 2015-02-09 Lucas Janson , Edward Schmerling , Ashley Clark , Marco Pavone

We reformulate the signal temporal logic (STL) synthesis problem as a maximum a-posteriori (MAP) inference problem. To this end, we introduce the notion of random STL~(RSTL), which extends deterministic STL with random predicates. This new…

Robotics · Computer Science 2021-05-14 Ki Myung Brian Lee , Chanyeol Yoo , Robert Fitch

Signal Temporal Logic (STL) is an efficient technique for describing temporal constraints. It can play a significant role in robotic manipulation, for example, to optimize the robot performance according to task-dependent metrics. In this…

Robotics · Computer Science 2021-10-04 Akshay Dhonthi , Philipp Schillinger , Leonel Rozo , Daniele Nardi

This study proposes a novel planning framework based on a model predictive control formulation that incorporates signal temporal logic (STL) specifications for task completion guarantees and robustness quantification. This marks the…

Robotics · Computer Science 2023-09-26 Zhaoyuan Gu , Rongming Guo , William Yates , Yipu Chen , Ye Zhao

Probabilistic sampling methods have become very popular to solve single-shot path planning problems. Rapidly-exploring Random Trees (RRTs) in particular have been shown to be efficient in solving high dimensional problems. Even though…

Artificial Intelligence · Computer Science 2009-12-02 Nicolas A. Barriga , Mauricio Araya-López

During the last decade, incremental sampling-based motion planning algorithms, such as the Rapidly-exploring Random Trees (RRTs) have been shown to work well in practice and to possess theoretical guarantees such as probabilistic…

Robotics · Computer Science 2010-05-05 Sertac Karaman , Emilio Frazzoli

Path planning for a robot is one of the major problems in the area of robotics. When a robot is given a task in the form of a Linear Temporal Logic (LTL) specification such that the task needs to be carried out repetitively, we want the…

Robotics · Computer Science 2021-03-05 Priya Purohit , Indranil Saha

Replanning in temporal logic tasks is extremely difficult during the online execution of robots. This study introduces an effective path planner that computes solutions for temporal logic goals and instantly adapts to non-static and…

Robotics · Computer Science 2023-02-23 Yizhou Chen , Ruoyu Wang , Xinyi Wang , Ben M. Chen

This paper studies the online control synthesis problem for uncertain discrete-time systems subject to signal temporal logic (STL) specifications. Different from existing techniques, this work proposes an approach based on STL, reachability…

Systems and Control · Electrical Eng. & Systems 2023-03-21 Pian Yu , Yulong Gao , Frank J. Jiang , Karl H. Johansson , Dimos V. Dimarogonas

In time-critical systems, such as air traffic control systems, it is crucial to design control policies that are robust to timing uncertainty. Recently, the notion of Asynchronous Temporal Robustness (ATR) was proposed to capture the…

Systems and Control · Electrical Eng. & Systems 2023-07-25 Xinyi Yu , Xiang Yin , Lars Lindemann

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

We tackle the challenging problem of multi-agent cooperative motion planning for complex tasks described using signal temporal logic (STL), where robots can have nonlinear and nonholonomic dynamics. Existing methods in multi-agent motion…

Robotics · Computer Science 2022-01-17 Dawei Sun , Jingkai Chen , Sayan Mitra , Chuchu Fan

This paper addresses the fast replanning problem in dynamic environments with moving obstacles. Since for randomly moving obstacles the future states are unpredictable, the proposed method, called SMARRT, reacts to obstacle motions and…

Robotics · Computer Science 2021-09-14 Zongyuan Shen , James Wilson , Ryan Harvey , Shalabh Gupta

Rapidly-exploring Random Tree star (RRT*) has recently gained immense popularity in the motion planning community as it provides a probabilistically complete and asymptotically optimal solution without requiring the complete information of…

Robotics · Computer Science 2018-07-24 Zaid Tahir , Ahmed H. Qureshi , Yasar Ayaz , Raheel Nawaz