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This work presents a theoretical framework for the safety-critical control of time delay systems. The theory of control barrier functions, that provides formal safety guarantees for delay-free systems, is extended to systems with state…

Systems and Control · Electrical Eng. & Systems 2022-06-20 Adam K. Kiss , Tamas G. Molnar , Aaron D. Ames , Gabor Orosz

We develop an assume-guarantee framework for control of large scale linear (time-varying) systems from finite-time reach and avoid or infinite-time invariance specifications. The contracts describe the admissible set of states and controls…

Systems and Control · Electrical Eng. & Systems 2020-02-18 Kasra Ghasemi , Sadra Sadraddini , Calin Belta

This paper proposes a method for designing human-robot collaboration tasks and generating corresponding trajectories. The method uses high-level specifications, expressed as a Signal Temporal Logic (STL) formula, to automatically synthesize…

Robotics · Computer Science 2023-07-03 Giuseppe Silano , Amr Afifi , Martin Saska , Antonio Franchi

The control synthesis of a dynamic system subject to a signal temporal logic (STL) specification is commonly formulated as a mixed-integer linear/convex programming (MILP/MICP) problem. Solving such a problem is computationally expensive…

Systems and Control · Electrical Eng. & Systems 2023-09-18 Zengjie Zhang , Sofie Haesaert

This paper presents control strategies based on time-varying convergent higher order control barrier functions for a class of leader-follower multi-agent systems under signal temporal logic (STL) tasks. Each agent is assigned a local STL…

Systems and Control · Electrical Eng. & Systems 2021-10-12 Maryam Sharifi , Dimos V. Dimarogonas

This paper presents a systematic method for synthesizing a Control Barrier Function (CBF) that encodes predictive information into a CBF. Unlike other methods, the synthesized CBF can account for changes and time-variations in the…

Systems and Control · Electrical Eng. & Systems 2025-04-23 Adrian Wiltz , Dimos V. Dimarogonas

In this paper the problem of cooperative task planning of multi-agent systems when timed constraints are imposed to the system is investigated. We consider timed constraints given by Metric Interval Temporal Logic (MITL). We propose a…

Systems and Control · Computer Science 2015-10-01 Alexandros Nikou , Jana Tumova , Dimos V. Dimarogonas

Many safety-critical systems must achieve high-level task specifications with guaranteed safety and correctness. Much recent progress towards this goal has been made through controller synthesis from signal temporal logic (STL)…

Robotics · Computer Science 2018-10-23 Rafael Rodrigues da Silva , Hai Lin

This paper introduces control barrier functions for discrete-time systems, which can be shown to be necessary and sufficient for controlled invariance of a given set. Moreover, we propose nonlinear discrete-time control barrier functions…

Systems and Control · Electrical Eng. & Systems 2020-04-07 Matthew Cavorsi , Mohammad Khajenejad , Ruochen Niu , Qiang Shen , Sze Zheng Yong

In this paper, a method to synthesize controllers using finite time convergence control barrier functions guided by linear temporal logic specifications for continuous time multi-agent dynamical systems is proposed. Finite time convergence…

Systems and Control · Computer Science 2018-08-08 Mohit Srinivasan , Samuel Coogan , Magnus Egerstedt

Control synthesis from temporal logic specifications has gained popularity in recent years. In this paper, we use a model predictive approach to control discrete time linear systems with additive bounded disturbances subject to constraints…

Systems and Control · Computer Science 2016-05-24 Sadra Sadraddini , Calin Belta

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

We consider the synthesis of distributed implementations for specifications in parameterized temporal logics such as PROMPT-LTL, which extends LTL by temporal operators equipped with parameters that bound their scope. For single process…

Logic in Computer Science · Computer Science 2018-02-28 Swen Jacobs , Leander Tentrup , Martin Zimmermann

The increasing complexity of control systems necessitates control laws that guarantee safety w.r.t. complex combinations of constraints. In this letter, we propose a framework to describe compositional safety specifications with control…

Systems and Control · Electrical Eng. & Systems 2023-12-05 Tamas G. Molnar , Aaron D. Ames

Signal Temporal Logic (STL) is expressive formal language that specifies spatio-temporal requirements in robotics. Its quantitative robustness semantics can be easily integrated with optimization-based control frameworks. However, STL…

Robotics · Computer Science 2026-03-10 Tianhao Wu , Yiwei Lyu

This paper is concerned with a compositional approach for the construction of control barrier certificates for large-scale interconnected stochastic systems while synthesizing hybrid controllers against high-level logic properties. Our…

Systems and Control · Electrical Eng. & Systems 2022-06-24 Mahathi Anand , Abolfazl Lavaei , Majid Zamani

We study the problem of controlling multi-agent systems under a set of signal temporal logic tasks. Signal temporal logic is a formalism that is used to express time and space constraints for dynamical systems. Recent methods to solve the…

Systems and Control · Electrical Eng. & Systems 2020-11-26 Lars Lindemann , Dimos V. Dimarogonas

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

Several methods have been proposed recently to learn neural network (NN) controllers for autonomous agents, with unknown and stochastic dynamics, tasked with complex missions captured by Linear Temporal Logic (LTL). Due to the…

Robotics · Computer Science 2023-11-23 Jun Wang , Haojun Chen , Zihe Sun , Yiannis Kantaros

We present a general framework for risk semantics on Signal Temporal Logic (STL) specifications for stochastic dynamical systems using axiomatic risk theory. We show that under our recursive risk semantics, risk constraints on STL formulas…

Systems and Control · Electrical Eng. & Systems 2020-06-02 Sleiman Safaoui , Lars Lindemann , Dimos V Dimarogonas , Iman Shames , Tyler H Summers