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This paper presents a method for control synthesis under spatio-temporal constraints. First, we consider the problem of reaching a set $S$ in a user-defined or prescribed time $T$. We define a new class of control Lyapunov functions, called…

Optimization and Control · Mathematics 2021-06-11 Kunal Garg , Dimitra Panagou

In this paper, we propose an approach to controller synthesis for a class of constrained nonlinear systems. It is based on the use of a hybridization, that is a hybrid abstraction of the nonlinear dynamics. This abstraction is defined on a…

Systems and Control · Computer Science 2011-09-13 Antoine Girard , Samuel Martin

This work introduces a controller synthesis method via system level synthesis for nonlinear systems characterized by polynomial dynamics. The resulting framework yields finite impulse response, time-invariant, closed-loop transfer functions…

Optimization and Control · Mathematics 2022-09-26 Lauren Conger , Jing Shuang Li , Eric Mazumdar , Steven L. Brunton

This paper addresses data-driven control of continuous-time systems. We develop a framework based on synthesis operators associated with input and state trajectories. A key advantage of the proposed method is that it does not require the…

Optimization and Control · Mathematics 2025-11-27 Masashi Wakaiki

This paper presents a novel approach for the safe control design of systems with parametric uncertainties in both drift terms and control-input matrices. The method combines control barrier functions and adaptive laws to generate a safe…

Systems and Control · Electrical Eng. & Systems 2024-04-16 Yujie Wang , Xiangru Xu

The problem under consideration is the synthesis of a distributed controller for a nonlinear network composed of input affine systems. The objective is to achieve exponential convergence of the solutions. To design such a feedback law,…

Optimization and Control · Mathematics 2016-09-26 Humberto Stein Shiromoto , Ian R. Manchester

This paper develops a controller synthesis approach for a multi-agent system (MAS) with intermittent communication. We adopt a leader-follower scheme, where a mobile leader with absolute position sensors switches among a set of followers…

Systems and Control · Electrical Eng. & Systems 2019-09-24 Zhe Xu , Federico M. Zegers , Bo Wu , Warren Dixon , Ufuk Topcu

This paper addresses the problem of forbidden states for safe Petri net modeling discrete event systems. We present an efficient method to construct a controller. A set of linear constraints allow forbidding the reachability of specific…

Information Theory · Computer Science 2009-04-06 Abbas Dideban , M. Zareiee , Hassane Alla

This tutorial paper presents recent work of the authors that extends the theory of Control Barrier Functions (CBFs) to address practical challenges in the synthesis of safe controllers for autonomous systems and robots. We present novel…

Optimization and Control · Mathematics 2023-12-29 Kunal Garg , James Usevitch , Joseph Breeden , Mitchell Black , Devansh Agrawal , Hardik Parwana , Dimitra Panagou

This paper aims to synthesize a reachability controller for an unknown dynamical system. We first learn the unknown system using Gaussian processes and the (probabilistic) guarantee on the learned model. Then we use the funnel-based…

Systems and Control · Electrical Eng. & Systems 2023-01-02 Sandeep Gorantla , Jeel Chatrola , Jay Bhagiya , Adnane Saoud , Pushpak Jagtap

The goal of logical controller synthesis is to automatically compute a control strategy that regulates the discrete, event-driven behavior of a given plant s.t. a temporal logic specification holds over all remaining traces. Standard…

Logic in Computer Science · Computer Science 2025-01-31 Bernd Finkbeiner , Niklas Metzger , Satya Prakash Nayak , Anne-Kathrin Schmuck

We propose a convex distributed optimization algorithm for synthesizing robust controllers for large-scale continuous time systems subject to exogenous disturbances. Given a large scale system, instead of solving the larger centralized…

Optimization and Control · Mathematics 2018-03-02 Mohamadreza Ahmadi , Murat Cubuktepe , Ufuk Topcu , Takashi Tanaka

In this paper, we investigate the controller design problem for linear disturbed systems under signal temporal logic (STL) specifications imposing both spatial and temporal constraints on system behavior. We first implement zonotope-based…

Systems and Control · Electrical Eng. & Systems 2021-10-18 Wei Ren , Raphael Jungers

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

Delays are ubiquitous in modern hybrid systems, which exhibit both continuous and discrete dynamical behaviors. Induced by signal transmission, conversion, the nature of plants, and so on, delays may appear either in the continuous…

Systems and Control · Electrical Eng. & Systems 2021-03-23 Yunjun Bai , Ting Gan , Li Jiao , Bican Xia , Bai Xue , Naijun Zhan

Formal control synthesis approaches over stochastic systems have received significant attention in the past few years, in view of their ability to provide provably correct controllers for complex logical specifications in an automated…

Systems and Control · Computer Science 2016-02-04 Majid Zamani , Ilya Tkachev , Alessandro Abate

This paper presents a Directed Controller Synthesis (DCS) technique for discrete event systems. The DCS method explores the solution space for reactive controllers guided by a domain-independent heuristic. The heuristic is derived from an…

Systems and Control · Computer Science 2016-06-01 Daniel Ciolek , Victor Braberman , Nicolás D'Ippolito , Sebastián Uchitel

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

Computing a stabilizing static output-feedback (SOF) controller is an NP-hard problem, in general. Yet, these controllers have amassed popularity in recent years because of their practical use in feedback control applications, such as fluid…

Systems and Control · Electrical Eng. & Systems 2023-07-10 Talha Mushtaq , Peter Seiler , Maziar S. Hemati

This paper presents a new robust data-driven predictive control scheme for unknown linear time-invariant systems by using input-state-output or input-output data based on whether the state is measurable. To remove the need for the…

Systems and Control · Electrical Eng. & Systems 2024-01-17 Kaijian Hu , Tao Liu