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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

This paper deals with traffic control at motorway bottlenecks assuming the existence of an unknown, time-varying, Fundamental Diagram (FD). The FD may change over time due to different traffic compositions, e.g., light and heavy vehicles,…

Systems and Control · Electrical Eng. & Systems 2023-08-02 Farzam Tajdari , Claudio Roncoli

Recently, adaptive control systems with relaxed persistent excitation (PE) conditions have been proposed to guarantee true parameter convergence and improve the transient response. However, in some cases, sufficient control performance and…

Systems and Control · Electrical Eng. & Systems 2025-03-03 Satoshi Tsuruhara , Kazuhisa Ito

This paper investigates the finite time stabilization problem for a class of nonlinear systems with unknown control directions and unstructured uncertainties. The unstructured uncertainties indicate that not only the parameters but also the…

Systems and Control · Electrical Eng. & Systems 2024-10-30 Shiqi Zheng , Shihao Wang , Xiang Chen , Yuanlong Xie

This paper proposes a control design approach for stabilizing nonlinear control systems. Our key observation is that the set of points where the decrease condition of a control Lyapunov function (CLF) is feasible can be regarded as a safe…

Optimization and Control · Mathematics 2024-08-19 Pol Mestres , Kehan Long , Melvin Leok , Nikolay Atanasov , Jorge Cortes

In this paper, a control scheme for stochastic predefined-time stabilization is proposed, which improves the control effect compared with stochastic finite-time or fixed-time stabilization. The stochastic predefined-time stabilization…

Optimization and Control · Mathematics 2022-05-11 Tianliang Zhang , Shengyuan Xu

A Lyapunov-based method is presented for stabilizing and controlling of closed quantum systems. The proposed method is constructed upon a novel quantum Lyapunov function of the system state trajectory tracking error. A positive-definite…

Quantum Physics · Physics 2021-02-02 Elham Jamalinia , Peyman Azodi , Alireza Khayatian , Peyman Setoodeh

This article is devoted to study the interior approximated controllability of the strongly damped semilinear wave equation with memory, impulses and delay terms. The problem is challenging since the state equation contains memory and…

Optimization and Control · Mathematics 2017-04-11 Cristi Guevara , Hugo Leiva

In this paper, we investigate the model reference adaptive control approach for uncertain piecewise affine systems with performance guarantees. The proposed approach ensures the error metric, defined as the weighted Euclidean norm of the…

Systems and Control · Electrical Eng. & Systems 2022-01-21 Tong Liu , Martin Buss

We present a new method for learning control law that stabilizes an unknown nonlinear dynamical system at an equilibrium point. We formulate a system identification task in a self-supervised learning setting that jointly learns a controller…

Systems and Control · Electrical Eng. & Systems 2022-03-17 Priyabrata Saha , Magnus Egerstedt , Saibal Mukhopadhyay

Limitations of the delayed feedback control and of its extended versions have been fully treated in the literature. The oscillating delayed feedback control appears as a promising scheme to overcome this problem. In this work, two methods…

Dynamical Systems · Mathematics 2018-05-25 Verónica E. Pastor , Graciela González

In this work, we study finite-time stability of switched and hybrid systems in the presence of unstable modes. We present sufficient conditions in terms of multiple Lyapunov functions for the origin of the system to be finite time stable.…

Systems and Control · Electrical Eng. & Systems 2024-12-20 Kunal Garg , Dimitra Panagou

In this article, we present a new scheme that approximates unknown sensorimotor models of robots by using feedback signals only. The formulation of the uncalibrated sensor-based regulation problem is first formulated, then, we develop a…

Robotics · Computer Science 2020-07-07 David Navarro-Alarcon , Jiaming Qi , Jihong Zhu , Andrea Cherubini

This paper presents new results that allow one to address the discrete-time general nonlinear robust control problem. The uncertain system is described by a general nonlinear function set characterized by the nominal model and the…

Optimization and Control · Mathematics 2020-12-03 Chaolun Lu , Yongqiang Li , Zijun Feng , Zhongsheng Hou , Yu Feng , Yuanjing Feng

We analyze the stabilization of unstable steady states by delayed feedback control with a periodic time-varying delay in the regime of a high-frequency modulation of the delay. The average effect of the delayed feedback term in the control…

Chaotic Dynamics · Physics 2013-09-20 Aleksandar Gjurchinovski , Thomas Jüngling , Viktor Urumov , Eckehard Schöll

Modern control systems must operate in increasingly complex environments subject to safety constraints and input limits, and are often implemented in a hierarchical fashion with different controllers running at multiple time scales. Yet…

Systems and Control · Electrical Eng. & Systems 2022-04-04 Noel Csomay-Shanklin , Andrew J. Taylor , Ugo Rosolia , Aaron D. Ames

Numerical solutions for the optimal feedback stabilization of discrete time dynamical systems is the focus of this paper. Set-theoretic notion of almost everywhere stability introduced by the Lyapunov measure, weaker than conventional…

Optimization and Control · Mathematics 2017-02-20 Arvind Raghunathan , Umesh Vaidya

In this work, we introduce a novel data-driven model-reference control design approach for unknown linear systems with fully measurable state. The proposed control action is composed by a static feedback term and a reference tracking block,…

Systems and Control · Electrical Eng. & Systems 2021-09-29 Valentina Breschi , Claudio De Persis , Simone Formentin , Pietro Tesi

In this paper we propose a model predictive control scheme for constrained fractional-order discrete-time systems. We prove that all constraints are satisfied at all time instants and we prescribe conditions for the origin to be an…

Optimization and Control · Mathematics 2016-06-16 Pantelis Sopasakis , Haralambos Sarimveis

This technical note studies Lyapunov-like conditions to ensure a class of dynamical systems to exhibit predefined-time stability. The origin of a dynamical system is predefined-time stable if it is fixed-time stable and an upper bound of…