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In this paper, we tackle the significant challenge of simultaneous stabilization in control systems engineering, where the aim is to employ a single controller to ensure stability across multiple systems. We delve into both scalar and…

Optimization and Control · Mathematics 2024-05-24 Yufang Cui , Anders Lindquist

Controller synthesis is in essence a case of model-based planning for non-deterministic environments in which plans (actually ''strategies'') are meant to preserve system goals indefinitely. In the case of supervisory control environments…

Machine Learning · Computer Science 2023-05-05 Tomás Delgado , Marco Sánchez Sorondo , Víctor Braberman , Sebastián Uchitel

We propose a counterexample-guided inductive synthesis framework for the formal synthesis of closed-form sampled-data controllers for nonlinear systems to meet STL specifications over finite-time trajectories. Rather than stating the STL…

Systems and Control · Electrical Eng. & Systems 2021-03-23 Cees F. Verdier , Niklas Kochdumper , Matthias Althoff , Manuel Mazo

Synthesis is the automated construction of a system from its specification. The system has to satisfy its specification in all possible environments. Modern systems often interact with other systems, or agents. Many times these agents have…

Logic in Computer Science · Computer Science 2009-07-20 Dana Fisman , Orna Kupferman , Yoad Lustig

This paper addresses the problem of designing distributed controllers with state and input constraints in the System Level Synthesis (SLS) framework. Using robust optimization, we show how state and actuation constraints can be incorporated…

Systems and Control · Computer Science 2019-11-05 Yuxiao Chen , James Anderson

We consider the synthesis problem on timed automata with B\"uchi objectives, where delay choices made by a controller are subjected to small perturbations. Usually, the controller needs to avoid punctual guards, such as testing the equality…

Computer Science and Game Theory · Computer Science 2024-04-30 Benoît Barbot , Damien Busatto-Gaston , Catalin Dima , Youssouf Oualhadj

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

Designing a static state-feedback controller subject to structural constraint achieving asymptotic stability is a relevant problem with many applications, including network decentralized control, coordinated control, and sparse feedback…

Optimization and Control · Mathematics 2021-06-03 Francesco Ferrante , Fabrizio Dabbene , Chiara Ravazzi

We synthesize and unify notions of regularity, both of individual sets and of collections of sets, as they appear in the convergence theory of projection methods for consistent feasibility problems. Several new characterizations of…

Optimization and Control · Mathematics 2018-05-15 Alexander Y. Kruger , D. Russell Luke , Nguyen H. Thao

We investigate the problem of practical output regulation, i.e., to design a controller that brings the system output in the vicinity of a desired target value while keeping the other variables bounded. We consider uncertain systems that…

Optimization and Control · Mathematics 2021-07-19 Mohammad Saeed Sarafraz , Anton V. Proskurnikov , Mohammad Saleh Tavazoei , Peyman Mohajerin Esfahani

Control Lyapunov functions (CLFs) and control barrier functions (CBFs) are widely used tools for synthesizing controllers subject to stability and safety constraints. Paired with online optimization, they provide stabilizing control actions…

Robotics · Computer Science 2022-10-04 Hongkai Dai , Frank Permenter

This paper studies the controller synthesis problem for nonlinear control systems under linear temporal logic (LTL) specifications using zonotope techniques. A local-to-global control strategy is proposed for the desired specification…

Systems and Control · Electrical Eng. & Systems 2024-05-03 Wei Ren , Raphael M. Jungers , Dimos V. Dimarogonas

Taking inspiration from the hypothesis of muscle synergies, we propose a method to generate open loop controllers for an agent solving point-to-point reaching tasks. The controller output is defined as a linear combination of a small set of…

Robotics · Computer Science 2012-09-27 Cristiano Alessandro , Juan Pablo Carbajal , Andrea d'Avella

Through the use of the Fundamental Lemma for linear systems, a direct data-driven state-feedback control synthesis method is presented for a rather general class of nonlinear (NL) systems. The core idea is to develop a data-driven…

Systems and Control · Electrical Eng. & Systems 2024-01-24 Chris Verhoek , Patrick J. W. Koelewijn , Sofie Haesaert , Roland Tóth

The ever increasing complexity of real-time control systems results in significant deviations in the timing of sensing and actuation, which may lead to degraded performance or even instability. In this paper we present a method to analyze…

Systems and Control · Electrical Eng. & Systems 2020-04-27 Maximilian Gaukler , Günter Roppenecker , Peter Ulbrich

In this paper, we propose a model reduction technique for linear parameter varying (LPV) systems based on available tools for fixed-structure controller synthesis. We start by transforming a model reduction problem into an equivalent…

Systems and Control · Electrical Eng. & Systems 2024-03-22 Lennart Heeren , Adwait Datar , Antonio Mendez Gonzalez , Herbert Werner

This manuscript discusses a scalable controller synthesis method for networked systems with a large number of identical subsystems based on the H-infinity control framework. The dynamics of the individual subsystems are described by…

Optimization and Control · Mathematics 2020-09-10 Pieter Appeltans , Wim Michiels

Symbolic controller synthesis is a fully-automated and correct-by-design synthesis scheme whose limitations are its immense memory and runtime requirements. A current trend to compensate for this downside is to develop techniques for…

Optimization and Control · Mathematics 2020-07-21 Alexander Weber , Marcus Kreuzer , Alexander Knoll

In this paper we study possibilities of using hierarchical reasoning, symbol elimination and model generation for the verification of parametric systems, where the parameters can be constants or functions. Our goal is to automatically…

Logic in Computer Science · Computer Science 2019-10-14 Viorica Sofronie-Stokkermans

In this paper, we present a method for optimal control synthesis of a plant that interacts with a set of agents in a graph-like environment. The control specification is given as a temporal logic statement about some properties that hold at…

Robotics · Computer Science 2012-09-06 Alphan Ulusoy , Tichakorn Wongpiromsarn , Calin Belta