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This paper studies the performance of a continuous controller when implemented on digital devices via sampling and quantization, by leveraging passivity analysis. Degradation of passivity indices from a continuous-time control system to its…

Optimization and Control · Mathematics 2020-07-17 Xiangru Xu , Necmiye Ozay , Vijay Gupta

This paper studies the distributed L2-gain control problem for continuous-time large-scale systems under Round-Robin communication protocol. In this protocol, each sub-controller obtains its own subsystem's state information continuously,…

Systems and Control · Electrical Eng. & Systems 2020-01-07 Tao Yu , Junlin Xiong

The event-triggered control with intermittent output can reduce the communication burden between the controller and plant side over the network. It has been exploited for adaptive output feedback control of uncertain nonlinear systems in…

Systems and Control · Electrical Eng. & Systems 2026-03-26 Gewei Zuo , Lijun Zhu

The paper provides results for the application of boundary feedback control with Zero-Order-Hold (ZOH) to 1-D linear parabolic systems on bounded domains. It is shown that the continuous-time boundary feedback applied in a sample-and-hold…

Optimization and Control · Mathematics 2017-01-10 Iasson Karafyllis , Miroslav Krstic

For mechanical systems we present a controller able to track an unknown smooth signal, converging in finite time and by means of a continuous control signal. The control scheme is insensitive against unknown perturbations with bounded…

Systems and Control · Computer Science 2015-12-01 Jaime A. Moreno

Dynamics and stability of average current control of DC-DC converters are analyzed by sampled-data modeling. Orbital stability is studied and it is found unrelated to the ripple size of the orbit. Compared with the averaged modeling, the…

Systems and Control · Computer Science 2012-10-09 Chung-Chieh Fang

We address the problem of robust safety control design for double integrator systems. We show that, when the constraints are defined only on position states, it is possible to construct a safe sliding domain from the dynamic of a simple…

Systems and Control · Electrical Eng. & Systems 2025-09-18 Marco A. Gomez , Christopher D. Cruz-Ancona

This paper presents a unified modeling, control, and estimation framework for the quadruple-tank process, a benchmark multivariable system that exhibits either minimum phase or nonminimum phase behavior depending on valve flow ratios. A…

Systems and Control · Electrical Eng. & Systems 2025-07-09 Moh Kamalul Wafi , Bambang L. Widjiantoro

In this paper we are interested in a rigorous derivation of the Kuramoto-Sivashinsky equation (K--S) in a Free Boundary Problem. As a paradigm, we consider a two-dimensional Stefan problem in a strip, a simplified version of a solid-liquid…

Analysis of PDEs · Mathematics 2009-07-17 Claude-Michel Brauner , Josephus Hulshof , Luca Lorenzi

This paper presents a novel direct data-driven control framework for solving the linear quadratic regulator (LQR) under disturbances and noisy state measurements. The system dynamics are assumed unknown, and the LQR solution is learned…

Systems and Control · Electrical Eng. & Systems 2025-05-13 Ramin Esmzad , Gokul S. Sankar , Teawon Han , Hamidreza Modares

This paper analyzes distributed control protocols for first- and second-order networked dynamical systems. We propose a class of nonlinear consensus controllers where the input of each agent can be written as a product of a nonlinear gain,…

Dynamical Systems · Mathematics 2014-10-01 Martin Andreasson , Dimos V. Dimarogonas , Henrik Sandberg , Karl H. Johansson

In the theory of compressed sensing, restricted isometry analysis has become a standard tool for studying how efficiently a measurement matrix acquires information about sparse and compressible signals. Many recovery algorithms are known to…

Information Theory · Computer Science 2014-04-29 Holger Rauhut , Justin Romberg , Joel A. Tropp

In this study, we propose new global stabilization approaches for a class of polynomial systems in both model-based and data-driven settings. The existing model-based approach guarantees global asymptotic stability of the closed-loop system…

Optimization and Control · Mathematics 2025-05-21 Huayuan Huang , M. Kanat Camlibel , Raffaella Carloni , Henk J. van Waarde

Given one open-loop measured trajectory of a single-input single-output discrete-time linear time-invariant system, we present a framework for data-driven controller design for closed-loop finite-horizon dissipativity. First, we parametrize…

Systems and Control · Electrical Eng. & Systems 2021-06-09 Nils Wieler , Julian Berberich , Anne Koch , Frank Allgöwer

This paper presents the control design of the two-phase Stefan problem. The two-phase Stefan problem is a representative model of liquid-solid phase transition by describing the time evolutions of the temperature profile which is divided by…

Optimization and Control · Mathematics 2019-05-31 Shumon Koga , Miroslav Krstic

This paper presents a data-driven nonlinear safe control design approach for discrete-time systems under parametric uncertainties and additive disturbances. We first characterize a new control structure from which a data-based…

Systems and Control · Electrical Eng. & Systems 2025-05-13 Amir Modares , Bosen Lian , Hamidreza Modares

There are recent shifts in demand for design controllers from simplified to complex model-based. Although simplification approaches are successful in many areas of engineering control systems, high-fidelity simulation-based control design,…

Systems and Control · Electrical Eng. & Systems 2024-02-15 Jongrae Kim

We examine the differences between the driven turbulence described by the Kuramoto-Sivashinsky (KS) equation and the second law of thermodynamics. A general velocity and entropy density system is analyzed with the unified thermodynamic…

Chaotic Dynamics · Physics 2026-01-12 E. Hansen , W. Barham , P. J. Morrison

We consider a linear dynamical system in which the state vector consists of both public and private states. One or more sensors make measurements of the state vector and sends information to a fusion center, which performs the final state…

Information Theory · Computer Science 2019-07-19 Yang Song , Chong Xiao Wang , Wee Peng Tay

We study controllability issues for the Navier-Stokes Equation on a two dimensional rectangle with so-called Lions boundary conditions. Rewriting the Equation using a basis of harmonic functions we arrive to an infinite-dimensional system…

Optimization and Control · Mathematics 2007-05-23 Sérgio Rodrigues