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We investigate the problem of synthesizing switching controllers for stabilizing continuous-time plants. First, we introduce a class of control Lyapunov functions (CLFs) for switched systems along with a switching strategy that yields a…

Systems and Control · Computer Science 2015-09-18 Hadi Ravanbakhsh , Sriram Sankaranarayanan

An emerging branch of control theory specialises in certificate learning, concerning the specification of a desired (possibly complex) system behaviour for an autonomous or control model, which is then analytically verified by means of a…

Systems and Control · Electrical Eng. & Systems 2024-10-29 Alec Edwards , Andrea Peruffo , Alessandro Abate

We introduce a counter-example guided inductive synthesis (CEGIS) framework for synthesizing continuous-time switching controllers that guarantee reach while stay (RWS) properties of the closed loop system. The solution is based on…

Systems and Control · Computer Science 2015-09-24 Hadi Ravanbakhsh , Sriram Sankaranarayanan

We propose a counter-example guided inductive synthesis (CEGIS) scheme for the design of control Lyapunov functions and associated state-feedback controllers for linear systems affected by parametric uncertainty with arbitrary shape. In the…

Systems and Control · Electrical Eng. & Systems 2024-07-09 Daniele Masti , Filippo Fabiani , Giorgio Gnecco , Alberto Bemporad

Probabilistic programs are key to deal with uncertainty in e.g. controller synthesis. They are typically small but intricate. Their development is complex and error prone requiring quantitative reasoning over a myriad of alternative…

Software Engineering · Computer Science 2019-04-30 Milan Češka , Christian Hensel , Sebastian Junges , Joost-Pieter Katoen

In this paper we consider the safety verification and safe controller synthesis problems for nonlinear control systems. The Control Barrier Certificates (CBC) approach is proposed as an extension to the Barrier certificates approach. Our…

Optimization and Control · Mathematics 2022-04-22 Han Wang , Kostas Margellos , Antonis Papachristodoulou

Recent advances in learning-based perception systems have led to drastic improvements in the performance of robotic systems like autonomous vehicles and surgical robots. These perception systems, however, are hard to analyze and errors in…

Systems and Control · Electrical Eng. & Systems 2021-05-17 Shromona Ghosh , Yash Vardhan Pant , Hadi Ravanbakhsh , Sanjit A. Seshia

Verified controller synthesis uses world models that comprise all potential behaviours of humans, robots, further equipment, and the controller to be synthesised. A world model enables quantitative risk assessment, for example, by…

Software Engineering · Computer Science 2021-10-26 Mario Gleirscher , Jan Peleska

This paper introduces the notion of control closure certificates to synthesize controllers for discrete-time control systems against $\omega$-regular specifications. Typical functional approaches to synthesize controllers against…

Logic in Computer Science · Computer Science 2025-08-07 Vishnu Murali , Mohammed Adib Oumer , Majid Zamani

In this article, we consider the problem of synthesizing switching controllers for temporal properties through the composition of simple primitive reach-while-stay (RWS) properties. Reach-while-stay properties specify that the system states…

Systems and Control · Computer Science 2017-11-30 Hadi Ravanbakhsh , Sriram Sankaranarayanan

Counterexample-guided inductive synthesis CEGIS is used to synthesize programs from a candidate space of programs. The technique is guaranteed to terminate and synthesize the correct program if the space of candidate programs is finite. But…

Logic in Computer Science · Computer Science 2014-07-22 Susmit Jha , Sanjit A. Seshia

This paper presents an automatic formal controller synthesis method for nonlinear sampled-data systems with safety and reachability specifications. Fundamentally, the presented method is not restricted to polynomial systems and controllers.…

Systems and Control · Computer Science 2018-12-07 Cees F. Verdier , Manuel Mazo

This paper proposes a framework for automatic formal controller synthesis for general hybrid systems with a subset of safety and reachability specifications. The framework uses genetic programming to automatically co-synthesize controllers…

Systems and Control · Electrical Eng. & Systems 2020-09-16 Cees F. Verdier , Manuel Mazo

We consider the problem of safety verification and safety-aware controller synthesis for systems with sector bounded nonlinearities. We aim to keep the states of the system within a given safe set under potential actuator and sensor…

Systems and Control · Electrical Eng. & Systems 2025-04-15 Yankai Lin , Michelle S. Chong , Carlos Murguia

We present a controller synthesis algorithm for reach-avoid problems for piecewise linear discrete-time systems. Our algorithm relies on SMT solvers and in this paper we focus on piecewise constant control strategies. Our algorithm…

Systems and Control · Computer Science 2015-09-16 Zhenqi Huang , Yu Wang , Sayan Mitra , Geir E. Dullerud , Swarat Chaudhuri

We present a sound and automated approach to synthesize safe digital feedback controllers for physical plants represented as linear, time invariant models. Models are given as dynamical equations with inputs, evolving over a continuous…

Software implementations of controllers for physical systems are at the core of many embedded systems. The design of controllers uses the theory of dynamical systems to construct a mathematical control law that ensures that the controlled…

Systems and Control · Computer Science 2012-04-16 Rupak Majumdar , Indranil Saha , Majid Zamani

Designing controllers with provable formal guarantees has become an urgent requirement for cyber-physical systems in safety-critical scenarios. Beyond addressing scalability in high-dimensional implementations, controller synthesis…

Systems and Control · Electrical Eng. & Systems 2025-05-07 Jianqiang Ding , Dingran Yuan , Shankar A. Deka

Deadline misses are more common in real-world systems than one may expect. The weakly-hard task model has become a standard abstraction to describe and analyze how often these misses occur, and has been especially used in control…

Systems and Control · Electrical Eng. & Systems 2026-05-14 Marc Seidel , Martina Maggio , Frank Allgöwer

Controller synthesis, including reset controller, feedback controller, and switching logic controller, provides an essential mechanism to guarantee the correctness and reliability of hybrid systems in a correct-by-construction manner.…

Systems and Control · Electrical Eng. & Systems 2023-09-13 Jiang Liu , Han Su , Yunjun Bai , Bin Gu , Bai Xue , Mengfei Yang , Naijun Zhan
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