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The numerical approximation of convection-dominated problems continues to remain subject of strong interest. Families of stabilization techniques for finite element methods were developed in the past. Adaptive techniques based on a…

Numerical Analysis · Mathematics 2018-03-20 Kristina Schwegler , Marius P. Bruchhäuser , Markus Bause

We propose the feed-forward perturbation-based nonlinearity compensation method using the received signal, which outperforms conventional decision-based ones and eliminates the need for decision feedback. Additionally, combining half-half…

Optics · Physics 2025-12-30 Chuang Xu , Alan Pak Tao Lau

If embedded with command filter properly, the implementation of backstepping design could be dramatically simplified. In this paper, we introduce a command filter with time-varying gain and integrate it with backstepping design, resulting…

Systems and Control · Electrical Eng. & Systems 2022-01-11 Hefu Ye , Yongduan Song

A control design for error reduction in the tracking control for a class of non-lower triangular nonlinear systems is presented by combining techniques of Variable Power Surface Error Function (VPSEF), backstepping, and dynamic surface…

Systems and Control · Electrical Eng. & Systems 2024-09-05 Abdulrazaq Nafiu Abubakar , Ali Nasir , Md Muzakkir Quamar

Among the existing works on enhancing system performance via prescribed performance functions (PPFs), the decay rates of PPFs need to be predetermined by the designer, directly affecting the convergence time of the closed-loop system.…

Systems and Control · Electrical Eng. & Systems 2024-04-23 Zhuwu Shao , Yujuan Wang , Huanyu Yang , Yongduan Song

We study the problem of adaptively controlling a known discrete-time nonlinear system subject to unmodeled disturbances. We prove the first finite-time regret bounds for adaptive nonlinear control with matched uncertainty in the stochastic…

Machine Learning · Computer Science 2020-11-30 Nicholas M. Boffi , Stephen Tu , Jean-Jacques E. Slotine

AI data center loads create query-driven power transients on millisecond timescales. Such loads can violate the timescale separation assumptions underlying internal inverter control of grid-following resources collocated with data centers…

Systems and Control · Electrical Eng. & Systems 2026-04-21 Miroslav Kosanic , Marija Ilic

Results on the problem of stabilizing a nonlinear continuous-time system by a finite number of control or measurement values are presented. The basic tool is a discontinuous version of the so-called semi-global backstepping lemma. We derive…

Optimization and Control · Mathematics 2010-04-13 C. De Persis

This paper proposes a new fraction-order active disturbance rejection controller based on an improved fraction-order extended state observer (IFESO) for a class of fraction-order systems. Applying the IFESO, the fraction-order system can be…

Systems and Control · Electrical Eng. & Systems 2021-12-07 Bolin Li , Lijun Zhu

This paper proposes an approach to addresses the control challenges posed by a fault-induced uncertainty in both the dynamics and control input effectiveness of a class of hierarchical nonlinear systems in which the high-level dynamics is…

Optimization and Control · Mathematics 2021-08-10 Sina Ameli , Olugbenga Moses Anubi

This paper addresses the output regulation problem for a one-dimensional unstable wave equation subject to output delay and all-channel disturbances with unknown frequencies and amplitudes. First, this problem is transformed into a…

Optimization and Control · Mathematics 2025-04-22 Shen Wang , Zhong-Jie Han , Shuangxi Huang , Zhi-Xue Zhao

The nonlinear filtering problem is concerned with finding the conditional probability distribution (posterior) of the state of a stochastic dynamical system, given a history of partial and noisy observations. This paper presents a…

Optimization and Control · Mathematics 2024-03-26 Mohammad Al-Jarrah , Bamdad Hosseini , Amirhossein Taghvaei

Using existing, forward-in-time integration schemes, we demonstrate that it is possible to compute unstable, saddle-type fixed points of stiff systems of ODEs when the stable compenents are fast (i.e., rapidly damped) while the unstable…

Chaotic Dynamics · Physics 2007-05-23 C. W. Gear , Ioannis Kevrekidis

Introduction of renewable generation leads to significant reduction of inertia in power system, which deteriorates the quality of frequency control. This paper suggests a new control scheme utilizing controllable load to deal with low…

Systems and Control · Computer Science 2018-11-30 Oleg O. Khamisov , Janusz W. Bialek , Anatoly Dymarsky

This paper presents a nonlinear control design for highly underactuated balance robots, which possess more numbers of unactuated degree-of-freedom (DOF) than actuated ones. To address the challenge of simultaneously trajectory tracking of…

Robotics · Computer Science 2023-10-03 Feng Han , Jingang Yi

In this paper we consider three different synchronization problems consisting in designing a nonlinear feedback unidirectional coupling term for two (possibly chaotic) dynamical systems in order to drive the trajectories of one of them, the…

Classical Analysis and ODEs · Mathematics 2007-10-02 O. Makarenkov , P. Nistri , D. Papini

This paper addresses the prescribed performance control (PPC) challenge for high-order nonlinear systems affected by mismatched disturbances. The research aims to prevent singularity issues arising from error boundary violations during…

Systems and Control · Electrical Eng. & Systems 2025-08-20 Yiwei Liu

We generalize a method of control of chaos which uses delayed feedback at the period of an unstable orbit to stabilize that orbit. The generalization consists of substituting some portion of the nonlinear dynamical system with a delayed…

Condensed Matter · Physics 2008-02-03 M. de Sousa Vieira , A. J. Lichtenberg

The applicability of fractional order (FO) automatic generation control (AGC) for power system frequency oscillation damping is investigated in this paper, employing distributed energy generation. The hybrid power system employs various…

Systems and Control · Computer Science 2016-11-30 Indranil Pan , Saptarshi Das

Sampling arises simultaneously with input and output delays in networked control systems. When the delay is left uncompensated, the sampling period is generally required to be sufficiently small, the delay sufficiently short, and, for…

Optimization and Control · Mathematics 2010-12-13 Iasson Karafyllis , Miroslav Krstic
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