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Certified program synthesis (aka vericoding) is the process of automatically generating a program, its formal specification, and a machine-checkable proof of their alignment from a natural-language description. Two challenges make…

Software Engineering · Computer Science 2026-04-21 Yueyang Feng , Dipesh Kafle , Vladimir Gladshtein , Vitaly Kurin , George Pîrlea , Qiyuan Zhao , Peter Müller , Ilya Sergey

This paper addresses the problem of control synthesis for nonlinear optimal control problems in the presence of state and input constraints. The presented approach relies upon transforming the given problem into an infinite-dimensional…

Optimization and Control · Mathematics 2017-03-03 Pengcheng Zhao , Shankar Mohan , Ram Vasudevan

Robots are used increasingly often in safety-critical scenarios, such as robotic surgery or human-robot interaction. To ensure stringent performance criteria, formal controller synthesis is a promising direction to guarantee that robots…

Robotics · Computer Science 2023-09-13 Stefan B. Liu , Bastian Schürmann , Matthias Althoff

The synthesis problem for the compositional performance certification of interconnected systems is considered. A fairly unified description of control synthesis problem is given using integral quadratic constraints (IQC) and dissipativity.…

Optimization and Control · Mathematics 2015-04-14 Olugbenga Moses Anubi , Layne Clemen

In this work, we present a compositional safety controller synthesis approach for the class of discrete-time linear control systems. Here, we leverage a state-of-the-art result on the computation of robust controlled invariant sets. To…

Systems and Control · Electrical Eng. & Systems 2022-01-03 Siyuan Liu , Majid Zamani

We provide a novel approach to synthesize controllers for nonlinear continuous dynamical systems with control against safety properties. The controllers are based on neural networks (NNs). To certify the safety property we utilize barrier…

Systems and Control · Electrical Eng. & Systems 2020-09-22 Hengjun Zhao , Xia Zeng , Taolue Chen , Zhiming Liu , Jim Woodcock

We present a method for synthesizing controllers to steer trajectories from an initial set to a target set on a finite time horizon. The proposed control synthesis problem is decomposed into two steps. The first step under-approximates the…

Systems and Control · Computer Science 2018-10-02 He Yin , Andrew Packard , Murat Arcak , Pete Seiler

Switching controllers play a pivotal role in directing hybrid systems (HSs) towards the desired objective, embodying a ``correct-by-construction'' approach to HS design. Identifying these objectives is thus crucial for the synthesis of…

Systems and Control · Electrical Eng. & Systems 2024-06-25 Han Su , Shenghua Feng , Sinong Zhan , Naijun Zhan

We show that given a desired closed-loop response for a system, there exists an affine subspace of controllers that achieve this response. By leveraging the existence of this subspace, we are able to separate controller design from…

Systems and Control · Electrical Eng. & Systems 2020-06-11 Jing Shuang Li , Dimitar Ho

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 aims at the safety-critical control synthesis of network systems such that the satisfaction of the safety constraints can be guaranteed. To handle the large state dimension of such systems, an assume-guarantee contract is used to…

Systems and Control · Electrical Eng. & Systems 2020-09-18 Yuxiao Chen , James Anderson , Karan Kalsi , Aaron D. Ames , Steven H. Low

We present a tool-supported approach for the synthesis, verification and validation of the control software responsible for the safety of the human-robot interaction in manufacturing processes that use collaborative robots. In human-robot…

In reactive controller synthesis, a number of implementations (controllers) are possible for a given specification because of the incomplete nature of specification. To choose the most desirable one from the various options, we need to…

Logic in Computer Science · Computer Science 2019-05-28 Amol Wakankar , Paritosh K. Pandya , Rajmohan Matteplackel

We propose novel controller synthesis techniques for probabilistic systems modelled using stochastic two-player games: one player acts as a controller, the second represents its environment, and probability is used to capture uncertainty…

Logic in Computer Science · Computer Science 2017-01-11 Klaus Drager , Vojtech Forejt , Marta Kwiatkowska , David Parker , Mateusz Ujma

This paper considers the problem of safety controller synthesis for systems equipped with sensor modalities that can provide preview information. We consider switched systems where switching mode is an external signal for which preview…

Systems and Control · Electrical Eng. & Systems 2020-01-20 Zexiang Liu , Necmiye Ozay

This paper develops a new framework for program synthesis, called semantics-guided synthesis (SemGuS), that allows a user to provide both the syntax and the semantics for the constructs in the language. SemGuS accepts a recursively defined…

Programming Languages · Computer Science 2020-11-12 Jinwoo Kim , Qinheping Hu , Loris D'Antoni , Thomas Reps

We have witnessed the emergence of several controller parameterizations and the corresponding synthesis methods, including Youla, system level, input-output, and many other new proposals. Meanwhile, under the same synthesis method, there…

Optimization and Control · Mathematics 2022-02-11 Shih-Hao Tseng

Mathematical optimization is ubiquitous in modern applications. However, in practice, we often need to use nonlinear optimization models, for which the existing optimization tools such as Cplex or Gurobi may not be directly applicable and…

Logic in Computer Science · Computer Science 2024-08-27 Jian Cao , Liyong Lin , Lele Li

In this paper, we propose the frameworks of generalized performance evaluation and generalized controller synthesis. To this end, we give a true concurrent process calculus as the model of systems, and present a lattice-valued performance…

Logic in Computer Science · Computer Science 2026-05-19 Zining Cao

Control barrier certificates have proven effective in formally guaranteeing the safety of the control systems. However, designing a control barrier certificate is a time-consuming and computationally expensive endeavor that requires expert…

Systems and Control · Electrical Eng. & Systems 2024-05-28 Alireza Nadali , Ashutosh Trivedi , Majid Zamani