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We consider a robust stabilization of the fourth-order oscillatory systems with non-collocated output sensing. Worth recalling is that the fourth-order systems are relatively common in mechatronics as soon as there are two-mass or more…

Systems and Control · Electrical Eng. & Systems 2023-06-13 Michael Ruderman

Data-driven control has gained significant attention in recent years, particularly regarding feedback linearization of nonlinear systems. However, existing approaches face limitations when it comes to implementing them on hardware. The main…

Systems and Control · Electrical Eng. & Systems 2023-07-13 Karthik Shenoy , Akshit Saradagi , Ramkrishna Pasumarthy , Vijaysekhar Chellaboina

We propose a novel frequency control approach in between centralized and distributed architectures, that is a continuous-time feedback control version of the dual decomposition optimization method. Specifically, a convex combination of the…

Optimization and Control · Mathematics 2016-10-10 Florian Dörfler , Sergio Grammatico

To meet the demands of instantaneous control of instabilities over long time horizons in plasma fusion, we design a dynamic feedback control strategy for the Vlasov-Poisson system by constructing an operator that maps state perturbations to…

Numerical Analysis · Mathematics 2026-01-01 Jingcheng Lu , Li Wang , Jeff Calder

In this paper, we propose a notion of high-order (zeroing) barrier functions that generalizes the concept of zeroing barrier functions and guarantees set forward invariance by checking their higher order derivatives. The proposed…

Systems and Control · Electrical Eng. & Systems 2021-07-02 Xiao Tan , Wenceslao Shaw Cortez , Dimos V. Dimarogonas

An adaptive funnel control method is considered for the regulation of the output for a class of nonlinear infinite-dimensional systems on real Hilbert spaces. After a decomposition of the state space and some change of variables related to…

Optimization and Control · Mathematics 2022-04-06 Anthony Hastir , Joseph J. Winkin , Denis Dochain

We propose an approach for the synthesis of robust and optimal feedback controllers for nonlinear PDEs. Our approach considers the approximation of infinite-dimensional control systems by a pseudospectral collocation method, leading to…

Optimization and Control · Mathematics 2019-05-16 Dante Kalise , Sudeep Kundu , Karl Kunisch

In this paper we propose dynamic output-feedback controller synthesis methods for discrete-time linear time-invariant systems. The synthesis goal is to achieve dissipativity with respect to a given quadratic supply rate or a given $H_2$…

Optimization and Control · Mathematics 2026-03-25 Pietro Kristović , Andrej Jokić , Mircea Lazar

A hybrid (i.e., physics-guided data-driven) feedforward tracking controller is proposed for systems with unmodeled linear or nonlinear dynamics. The controller is based on the filtered basis function (FBF) approach, hence it is called a…

Systems and Control · Electrical Eng. & Systems 2022-06-27 Cheng-Hao Chou , Molong Duan , Chinedum E. Okwudire

In this paper we introduce a new sampling and reconstruction approach for multi-dimensional analog signals. Building on top of the Unlimited Sensing Framework (USF), we present a new folded sampling operator called the multi-dimensional…

Information Theory · Computer Science 2022-09-15 Dorian Florescu , Ayush Bhandari

We present a Heisenberg operator based formulation of coherent quantum feedback and Pyragas control. This model is easy to implement and allows for an efficient and fast calculation of the dynamics of feedback-driven observables as the…

Quantum Physics · Physics 2016-04-20 Julia Kabuss , Florian Katsch , Andreas Knorr , Alexander Carmele

Recently developed control methods with strong disturbance rejection capabilities provide a useful option for control design. The key lies in a general concept of disturbance and effective ways to estimate and compensate the disturbance.…

Optimization and Control · Mathematics 2018-01-19 Wuhua Hu , Eduardo F. Camacho , Lihua Xie

Closed-loop architecture is widely utilized in automatic control systems and attain distinguished performance. However, classical compressive sensing systems employ open-loop architecture with separated sampling and reconstruction units.…

Machine Learning · Computer Science 2022-07-21 Honggui Li , Maria Trocan , Dimitri Galayko , Mohamad Sawan

We study complex systems arising, in particular, in population dynamics, developmental biology, and bacterial metabolic processes, in which each individual element obeys a relatively simple hysteresis law (a non-ideal relay). Assuming that…

Analysis of PDEs · Mathematics 2014-11-04 Pavel Gurevich , Dmitrii Rachinskii

Quantum coherent feedback control is a measurement-free control method fully preserving quantum coherence. In this paper we show how time-delayed quantum coherent feedback can be used to control the degree of squeezing in the output field…

This paper proposes model-based and model-free policy gradient methods (PGMs) for designing dynamic output feedback controllers for discrete-time partially observable systems. To fulfill this objective, we first show that any dynamic output…

Systems and Control · Electrical Eng. & Systems 2024-07-26 Tomonori Sadamoto , Takumi Hirai

This paper systematically introduces dynamic extensions for the boundary control of general heterodirectional hyperbolic PDE systems. These extensions, which are well known in the finite-dimensional setting, constitute the dynamics of state…

Systems and Control · Electrical Eng. & Systems 2024-12-02 Nicole Gehring , Joachim Deutscher , Abdurrahman Irscheid

We address the path-wise control of systems described by a set of nonlinear stochastic differential equations. For this class of systems, we introduce a notion of stochastic relative degree and a change of coordinates which transforms the…

Systems and Control · Electrical Eng. & Systems 2022-12-14 Alberto Mellone , Giordano Scarciotti

We define two models of hysteresis that generalize the Preisach model. The first model is deterministic, the second model is stochastic and it utilizes disconinuous transition probabilities that satisfy impulsive differential equations. For…

Dynamical Systems · Mathematics 2007-05-23 S. A. Belbas

A reliable controller is critical for execution of safe and smooth maneuvers of an autonomous vehicle. The controller must be robust to external disturbances, such as road surface, weather, wind conditions, and so on. It also needs to deal…

Systems and Control · Electrical Eng. & Systems 2024-09-23 Pin Wang , Tianyu Shi , Chonghao Zou , Long Xin , Ching-Yao Chan