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We discuss boundary control of a wave equation with a non-linear anti-damping boundary condition. We design structured finite-dimensional $H_\infty$-output feedback controllers which stabilize the infinite dimensional system exponentially…

Optimization and Control · Mathematics 2020-02-19 Pierre Apkarian , Dominikus Noll

Feedback optimization has emerged as a promising approach for optimizing the steady-state operation of dynamical systems while requiring minimal modeling efforts. Unfortunately, most existing feedback optimization methods rely on knowledge…

Optimization and Control · Mathematics 2025-09-16 Amir Mehrnoosh , Gianluca Bianchin

Representation of nonlinear dynamical systems as infinite-dimensional linear operators over Hilbert spaces enables analysis of nonlinear systems via pseudo-spectral operator analysis. In this paper, we provide a novel representation for…

Optimization and Control · Mathematics 2024-01-04 Zachary Morrison , Moad Abudia , Joel Rosenfeld , Rushikesh Kamalapurar

This paper provides a state feedback stabilization approach for nonlinear systems of relative degree less than or equal to two by rendering them nonlinear negative imaginary (NI) systems. Conditions are provided under which a nonlinear…

Systems and Control · Electrical Eng. & Systems 2022-09-07 Kanghong Shi , Ian R. Petersen , Igor G. Vladimirov

In this paper, we consider the problems of approximating uncertainties and feedback control for a class of nonlinear systems without full-known states, and two approximation methods are proposed: universal approximation using integral-chain…

Systems and Control · Computer Science 2011-02-15 Xinhua Wang

We propose to explore switching methods in order to recover some properties of Kalmanlike observers for output feedback stabilization of state-affine systems that may present observability singularities. The self-tuning gain matrix in…

Optimization and Control · Mathematics 2022-11-17 Lucas Brivadis , Ludovic Sacchelli

In this paper, we consider the feedback stabilization problem for N-level quantum angular momentum systems undergoing continuous-time measurements. By using stochastic and geometric control tools, we provide sufficient conditions on the…

Optimization and Control · Mathematics 2019-02-18 Weichao Liang , Nina H. Amini , Paolo Mason

This paper considers the on-line implementation of the modulating function method, for parameter and state estimation, for the model of an air-handling unit, the central element of HVAC systems. After recalling the few elements of the…

Systems and Control · Computer Science 2018-11-19 Ana Ionesi , Hossein Ramezani , Jerome Jouffroy

The output regulation problem for unknown linear systems has been studied using state-based and output-based internal model approaches in the special case with no disturbances. This paper further investigates the output regulation problem…

Optimization and Control · Mathematics 2026-01-07 Haoyan Lin , Jie Huang

In this paper, we study numerical approximations for optimal control of a class of stochastic partial differential equations with partial observations. The system state evolves in a Hilbert space, whereas observations are given in…

Optimization and Control · Mathematics 2025-04-02 Feng Bao , Yanzhao Cao , Hongjiang Qian

In this article we consider the possibility of controlling the dynamics of nonlinear discrete systems. A new method of control is by mixing states of the system (or the functions of these states) calculated on previous steps. This approach…

Chaotic Dynamics · Physics 2016-08-23 D. Dmitrishin , I. M. Skrinnik , A. Stokolos

This paper investigates the finite-time adaptive fuzzy tracking control problem for a class of pure-feedback system with full-state constraints. With the help of Mean-Value Theorem, the pure-feedback nonlinear system is transformed into…

Systems and Control · Electrical Eng. & Systems 2024-12-31 Ju Wu , Tong Wang , Min Ma

This paper is concerned with fault/disturbance compensation control for fully actuated systems. In particular, we explore observer-based control, incorporating an active compensation mechanism. First, we propose a novel observer with…

Systems and Control · Electrical Eng. & Systems 2026-03-09 Weijie Ren , Guang-Ren Duan , Ping Li , He Kong

In recent years, a new method for experimental nonlinear modal analysis has been developed, which is based on the extended periodic motion concept. The method is well suited to experimentally obtain amplitude-dependent modal properties…

Systems and Control · Electrical Eng. & Systems 2021-08-16 Maren Scheel

In the article the problem of output setpoint tracking for affine non-linear system is considered. Presented approach combines state feedback linearization and homotopy numerical continuation in subspaces of phase space where feedback…

Systems and Control · Computer Science 2012-07-02 Alex Borisevich , Gernot Schullerus

In this work, it is demonstrated that the usual power system dynamic model exhibits a feedforward-feedback control structure. The distinct properties of the feedforward and feedback subsystems are identified and studied using respective…

Systems and Control · Electrical Eng. & Systems 2022-12-06 Minquan Chen , Deqiang Gan

Feedback uses past detection outcomes to dynamically modify a quantum system and is central to quantum control. These outcomes can be stored in a memory, defined as a stochastic function of past measurements. In this work, we investigate…

Quantum Physics · Physics 2025-12-10 Alberto J. B. Rosal , Patrick P. Potts , Gabriel T. Landi

We develop a novel multi-layer predictor-feedback to achieve exact compensation of state-dependent input delay of general nonlinear integro-differential equations. The system of interest is an unconventional mixed Partial Differential…

Optimization and Control · Mathematics 2026-04-09 Tong Li , Peipei Shang , Mamadou Diagne

In this article, we present data-driven feedback linearization for nonlinear systems with periodic orbits in the zero-dynamics. This scenario is challenging for data-driven control design because the higher order terms of the internal…

Systems and Control · Electrical Eng. & Systems 2022-11-22 Karthik Shenoy , Akshit Saradagi , Ramkrishna Pasumarthy , Vijaysekhar Chellaboina

The aim of this work is to design an explicit finite dimensional boundary feedback controller of sampled-data form for locally exponentially stabilizing the equilibrium solutions to semilinear parabolic equations. The feedback controller is…

Optimization and Control · Mathematics 2019-08-09 Hanbing Liu
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