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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

We address the synthesis of control policies for unknown discrete-time stochastic dynamical systems to satisfy temporal logic objectives. We present a data-driven, abstraction-based control framework that integrates online learning with…

Computer Science and Game Theory · Computer Science 2026-04-14 Irmak Sağlam , Mahdi Nazeri , Alessandro Abate , Sadegh Soudjani , Anne-Kathrin Schmuck

We present a lazy version of multi-layered abstraction-based controller synthesis (ABCS) for continuous-time nonlinear dynamical systems against safety specifications. State-of-the-art multi-layered ABCS uses pre-computed finite-state…

Systems and Control · Computer Science 2019-07-29 Kyle Hsu , Rupak Majumdar , Kaushik Mallik , Anne-Kathrin Schmuck

We define robust abstractions for synthesizing provably correct and robust controllers for (possibly infinite) uncertain transition systems. It is shown that robust abstractions are sound in the sense that they preserve robust satisfaction…

Systems and Control · Computer Science 2018-03-06 Jun Liu

This work targets the development of an efficient abstraction method for formal analysis and control synthesis of discrete-time stochastic hybrid systems (SHS) with linear dynamics. The focus is on temporal logic specifications, both over…

Systems and Control · Electrical Eng. & Systems 2024-12-20 Nathalie Cauchi , Luca Laurenti , Morteza Lahijanian , Alessandro Abate , Marta Kwiatkowska , Luca Cardelli

In this work, we propose an abstraction and refinement methodology for the controller synthesis of discrete-time stochastic systems to enforce complex logical properties expressed by deterministic finite automata (a.k.a. DFA). Our proposed…

Systems and Control · Electrical Eng. & Systems 2022-11-15 Bingzhuo Zhong , Abolfazl Lavaei , Majid Zamani , Marco Caccamo

This paper proposes a method to compute finite abstractions that can be used for synthesizing robust hybrid control strategies for nonlinear systems. Most existing methods for computing finite abstractions utilize some global, analytical…

Systems and Control · Computer Science 2015-07-23 Yinan Li , Jun Liu , Necmiye Ozay

We consider a compositional construction of approximate abstractions of interconnected control systems. In our framework, an abstraction acts as a substitute in the controller design process and is itself a continuous control system. The…

Optimization and Control · Mathematics 2018-01-03 Matthias Rungger , Majid Zamani

We propose a multi-scale approach for computing abstractions of dynamical systems, that incorporates both local and global optimal control to construct a goal-specific abstraction. For a local optimal control problem, we not only design the…

Dynamical Systems · Mathematics 2024-05-13 Julien Calbert , Lucas N. Egidio , Raphaël M. Jungers

In this work, we introduce a compositional framework for the construction of finite abstractions (a.k.a. symbolic models) of interconnected discrete-time control systems. The compositional scheme is based on the joint dissipativity-type…

Systems and Control · Computer Science 2017-10-17 Abdalla Swikir , Antoine Girard , Majid Zamani

Designing controllers to satisfy temporal requirements has proven to be challenging for dynamical systems that are affected by uncertainty. This is mainly due to the states evolving in a continuous uncountable space, the stochastic…

Systems and Control · Electrical Eng. & Systems 2024-07-08 Birgit C. van Huijgevoort , Ruohan Wang , Sadegh Soudjani , Sofie Haesaert

Reactive synthesis is the process of generating correct controllers from temporal logic specifications. Classical LTL reactive synthesis handles (propositional) LTL as a specification language. Boolean abstractions allow reducing LTLt…

Logic in Computer Science · Computer Science 2024-07-15 Andoni Rodríguez , Felipe Gorostiaga , César Sánchez

In this paper, we focus on mitigating the computational complexity in abstraction-based controller synthesis for interconnected control systems. To do so, we provide a compositional framework for the construction of abstractions for…

Systems and Control · Electrical Eng. & Systems 2020-12-02 Adnane Saoud , Pushpak Jagtap , Majid Zamani , Antoine Girard

We present lazy abstraction-based controller synthesis (ABCS) for continuous-time nonlinear dynamical systems against reach-avoid and safety specifications. State-of-the-art multi-layered ABCS pre-computes multiple finite-state abstractions…

Systems and Control · Computer Science 2019-08-13 Kyle Hsu , Rupak Majumdar , Kaushik Mallik , Anne-Kathrin Schmuck

In this paper, we consider the problem of controller design using approximately bisimilar abstractions with an emphasis on safety and reachability specifications. We propose abstraction-based approaches to solve both classes of problems. We…

Systems and Control · Computer Science 2011-06-17 Antoine Girard

This paper studies the synthesis of controllers for discrete-time, continuous state stochastic systems subject to omega-regular specifications using finite-state abstractions. We present a synthesis algorithm for minimizing or maximizing…

Systems and Control · Electrical Eng. & Systems 2020-09-22 Maxence Dutreix , Jeongmin Huh , Samuel Coogan

In this paper, we develop a compositional scheme for the construction of continuous approximations for interconnections of infinitely many discrete-time switched systems. An approximation (also known as abstraction) is itself a…

Systems and Control · Electrical Eng. & Systems 2022-01-03 Maryam Sharifi , Abdalla Swikir , Navid Noroozi , Majid Zamani

While many studies and tools target the basic stabilizability problem of networked control systems (NCS), nowadays modern systems require more sophisticated objectives such as those expressed as formulae in linear temporal logic or as…

Systems and Control · Computer Science 2018-06-27 Mahmoud Khaled , Matthias Rungger , Majid Zamani

This paper studies formal synthesis of controllers for continuous-space systems with unknown dynamics to satisfy requirements expressed as linear temporal logic formulas. Formal abstraction-based synthesis schemes rely on a precise…

Systems and Control · Electrical Eng. & Systems 2022-06-17 Milad Kazemi , Rupak Majumdar , Mahmoud Salamati , Sadegh Soudjani , Ben Wooding

This paper is concerned with a compositional approach for constructing abstractions of interconnected discrete-time stochastic control systems. The abstraction framework is based on new notions of so-called stochastic simulation functions,…

Systems and Control · Computer Science 2017-10-02 Abolfazl Lavaei , Sadegh Esmaeil Zadeh Soudjani , Rupak Majumdar , Majid Zamani