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We propose to synthesize a control policy for a Markov decision process (MDP) such that the resulting traces of the MDP satisfy a linear temporal logic (LTL) property. We construct a product MDP that incorporates a deterministic Rabin…

Systems and Control · Computer Science 2014-09-22 Dorsa Sadigh , Eric S. Kim , Samuel Coogan , S. Shankar Sastry , Sanjit A. Seshia

In many synthesis problems, it can be essential to generate implementations which not only satisfy functional constraints but are also randomized to improve variety, robustness, or unpredictability. The recently-proposed framework of…

Logic in Computer Science · Computer Science 2022-06-07 Andreas Gittis , Eric Vin , Daniel J. Fremont

Automated synthesis of correct-by-construction controllers for autonomous systems is crucial for their deployment in safety-critical scenarios. Such autonomous systems are naturally modeled as stochastic dynamical models. The general…

Systems and Control · Electrical Eng. & Systems 2023-11-17 Thom Badings , Nils Jansen , Licio Romao , Alessandro Abate

Discrete-time stochastic systems are an essential modelling tool for many engineering systems. We consider stochastic control systems that are evolving over continuous spaces. For this class of models, methods for the formal verification…

Systems and Control · Computer Science 2018-11-29 Sofie Haesaert , Sadegh Soudjani

We address control synthesis of stochastic discrete-time linear multi-agent systems under jointly chance-constrained collaborative signal temporal logic specifications in a distribution-free manner using available disturbance samples, which…

Systems and Control · Electrical Eng. & Systems 2025-08-27 Eleftherios E. Vlahakis , Lars Lindemann , Dimos V. Dimarogonas

Checklists have been widely recognized as effective tools for completing complex tasks in a systematic manner. Although originally intended for use in procedural tasks, their interpretability and ease of use have led to their adoption for…

Machine Learning · Computer Science 2024-11-27 Yukti Makhija , Edward De Brouwer , Rahul G. Krishnan

Next-generation autonomous systems must execute complex tasks in uncertain environments. Active perception, where an autonomous agent selects actions to increase knowledge about the environment, has gained traction in recent years for…

Systems and Control · Computer Science 2019-05-10 Rafael Rodrigues da Silva , Vince Kurtz , Hai Lin

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

The formal verification and controller synthesis for Markov decision processes that evolve over uncountable state spaces are computationally hard and thus generally rely on the use of approximations. In this work, we consider the…

Systems and Control · Computer Science 2018-11-28 Sofie Haesaert , Sadegh Soudjani , Alessandro Abate

Reactive synthesis is a paradigm for automatically building correct-by-construction systems that interact with an unknown or adversarial environment. We study how to do reactive synthesis when part of the specification of the system is that…

Logic in Computer Science · Computer Science 2018-04-23 Daniel J. Fremont , Sanjit A. Seshia

This paper focuses on synthesizing control policies for discrete-time stochastic control systems together with a lower bound on the probability that the systems satisfy the complex temporal properties. The desired properties of the system…

Systems and Control · Electrical Eng. & Systems 2020-08-07 Pushpak Jagtap , Sadegh Soudjani , Majid Zamani

We develop a probabilistic control algorithm, $\texttt{GTLProCo}$, for swarms of agents with heterogeneous dynamics and objectives, subject to high-level task specifications. The resulting algorithm not only achieves decentralized control…

Systems and Control · Electrical Eng. & Systems 2021-07-01 Franck Djeumou , Zhe Xu , Murat Cubuktepe , Ufuk Topcu

We consider the synthesis of control policies for probabilistic systems, modeled by Markov decision processes, operating in partially known environments with temporal logic specifications. The environment is modeled by a set of Markov…

Logic in Computer Science · Computer Science 2012-03-07 Tichakorn Wongpiromsarn , Emilio Frazzoli

Distributed model predictive control methods for uncertain systems often suffer from considerable conservatism and can tolerate only small uncertainties due to the use of robust formulations that are amenable to distributed design and…

Systems and Control · Electrical Eng. & Systems 2022-03-03 Simon Muntwiler , Kim P. Wabersich , Lukas Hewing , Melanie N. Zeilinger

We explore the probabilistic foundations of shared control in complex dynamic environments. In order to do this, we formulate shared control as a random process and describe the joint distribution that governs its behavior. For…

Robotics · Computer Science 2015-08-10 Pete Trautman

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

Propositional Projection Temporal Logic (PPTL) is a useful formalism for reasoning about period of time in hardware and software systems and can handle both sequential and parallel compositions. In this paper, based on discrete time Markov…

Logic in Computer Science · Computer Science 2010-11-08 Xiaoxiao Yang

This work introduces a stochastic model predictive control scheme for dynamic chance constraints. We consider linear discrete-time systems affected by unbounded additive stochastic disturbance. To synthesize an optimal controller, we solve…

Systems and Control · Electrical Eng. & Systems 2023-07-26 Maico Hendrikus Wilhelmus Engelaar , Sofie Haesaert , Mircea Lazar

Automated synthesis of provably correct controllers for cyber-physical systems is crucial for deployment in safety-critical scenarios. However, hybrid features and stochastic or unknown behaviours make this problem challenging. We propose a…

Systems and Control · Electrical Eng. & Systems 2023-08-07 Luke Rickard , Thom Badings , Licio Romao , Alessandro Abate

This paper is concerned with synchronization of complex stochastic dynamical networks in the presence of noise and functional uncertainty. A probabilistic control method for adaptive synchronization is presented. All required probabilistic…

Optimization and Control · Mathematics 2016-12-20 Randa Herzallah