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In this paper, we consider a control synthesis problem for a class of polynomial dynamical systems subject to bounded disturbances and with input constraints. More precisely, we aim at synthesizing at the same time a controller and an…

Optimization and Control · Mathematics 2011-07-11 Mohamed Amin Ben Sassi , 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

This paper studies the design of controllers that guarantee stability and safety of nonlinear control affine systems with parametric uncertainty in both the drift and control vector fields. To this end, we introduce novel classes of robust…

Optimization and Control · Mathematics 2022-08-12 Max H. Cohen , Calin Belta , Roberto Tron

This article presents novel methods for synthesizing distributionally robust stabilizing neural controllers and certificates for control systems under model uncertainty. A key challenge in designing controllers with stability guarantees for…

Systems and Control · Electrical Eng. & Systems 2024-08-06 Kehan Long , Jorge Cortes , Nikolay Atanasov

The paper addresses the issue of reliability of complex embedded control systems in the safety-critical environment. In this paper, we propose a novel approach to design controller that (i) guarantees the safety of nonlinear physical…

Systems and Control · Computer Science 2018-12-11 Pushpak Jagtap , Fardin Abdi , Matthias Rungger , Majid Zamani , Marco Caccamo

Robust controller synthesis attracts reviving research interest, driven by the rise of learning-based systems where uncertainty and perturbation are ubiquitous. Facing an uncertain situation, a robustly stabilizing controller should…

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

Ensuring scalable input-to-state stability (sISS) is critical for the safety and reliability of large-scale interconnected systems, especially in the presence of communication delays. While learning-based controllers can achieve strong…

Systems and Control · Electrical Eng. & Systems 2026-05-28 Jingyuan Zhou , Yuexuan Wang , Kaidi Yang

This paper develops a framework for synthesizing safety controllers for discrete-time stochastic linear control systems (dt-SLS) operating under communication imperfections. The control unit is remote and communicates with the sensor and…

Systems and Control · Electrical Eng. & Systems 2025-09-10 Omid Akbarzadeh , Mohammad H. Mamduhi , Abolfazl Lavaei

This paper introduces the notion of an Input Constrained Control Barrier Function (ICCBF), as a method to synthesize safety-critical controllers for non-linear control affine systems with input constraints. The method identifies a subset of…

Optimization and Control · Mathematics 2023-03-15 Devansh Agrawal , Dimitra Panagou

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

This paper presents a novel approach for ensuring safe operation of systems subject to input nonlinearities and time-varying safety constraints. We extend the time-varying barrier function framework to address time-varying safety…

Systems and Control · Electrical Eng. & Systems 2026-05-01 Felix Biertümpfel , Jungbae Chun , Peter Seiler

This paper studies the problem of enforcing safety of a stochastic dynamical system over a finite-time horizon. We use stochastic control barrier functions as a means to quantify the probability that a system exits a given safe region of…

Systems and Control · Electrical Eng. & Systems 2019-09-12 Cesar Santoyo , Maxence Dutreix , Samuel Coogan

This paper develops an adaptive tracking controller for a class of nonlinear systems with parametric uncertainty subject to state constraints. The system is characterized by a strict-feedback structure with unknown parameters entering both…

Optimization and Control · Mathematics 2026-04-29 Jhon Manuel Portella Delgado , Ankit Goel

In this paper, we present how to synthesize controllers to enforce $\omega$-regular properties over linear control systems affected by bounded disturbances. In particular, these controllers are synthesized based on so-called hybrid…

Systems and Control · Electrical Eng. & Systems 2023-04-18 Bingzhuo Zhong , Majid Zamani , Marco Caccamo

In this paper, we consider the problem of verifying safety constraint satisfaction for single-input single-output systems with uncertain transfer function coefficients. We propose a new type of barrier function based on a vector norm. This…

Optimization and Control · Mathematics 2020-08-04 Binghan He , Gray C. Thomas , Luis Sentis

In this paper, we consider the problem of synthesizing a controller in the presence of uncertainty such that the resulting closed-loop system satisfies certain hard constraints while optimizing certain (soft) performance objectives. We…

Systems and Control · Electrical Eng. & Systems 2022-10-17 Navid Hashemi , Xin Qin , Jyotirmoy V. Deshmukh , Georgios Fainekos , Bardh Hoxha , Danil Prokhorov , Tomoya Yamaguchi

In this technical note, we generalize the well-known Lyapunov-based stabilizability and detectability tests for linear time-invariant (LTI) systems to the context of discrete-time (DT) polytopic linear parameter-varying (LPV) systems. To do…

Optimization and Control · Mathematics 2023-03-21 T. J. Meijer , V. S. Dolk , W. P. M. H. Heemels

An approach to stabilization of control systems with ultimately wide ranges of uncertainly disturbed parameters is offered. The method relies on using of nonlinear structurally stable functions from catastrophe theory as controllers.…

Optimization and Control · Mathematics 2009-01-20 Viktor Ten

Providing safety guarantees for learning-based controllers is important for real-world applications. One approach to realizing safety for arbitrary control policies is safety filtering. If necessary, the filter modifies control inputs to…

Systems and Control · Electrical Eng. & Systems 2023-12-18 Lukas Brunke , Siqi Zhou , Mingxuan Che , Angela P. Schoellig

We study a control architecture for nonlinear constrained systems that integrates a performance-boosting (PB) controller with a scheduled Predictive Safety Filter (PSF). The PSF acts as a pre-stabilizing base controller that enforces state…

Systems and Control · Electrical Eng. & Systems 2026-03-23 Danilo Saccani , Haoming Shen , Luca Furieri , Giancarlo Ferrari-Trecate