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A frequency based data-driven control design considering mixed H2/H-infinity control objectives is developed for multiple input-single output systems. The main advantage of the data-driven control over the model-based control is its ability…

Systems and Control · Computer Science 2018-04-11 Omid Bagherieh , Roberto Horowitz

We address a class of systems for which the solution to an H-infinity optimal control problem can be given on a very simple closed form. In fact, both the control law and optimal performance value are explicitly given. The class of systems…

Optimization and Control · Mathematics 2019-03-18 Carolina Bergeling , Richard Pates , Anders Rantzer

H2-conic controller design seeks to minimize the closed-loop H2-norm for a nominal linear system while satisfying the Conic Sector Theorem for nonlinear stability. This problem has only been posed with limited design freedom, as opposed to…

Optimization and Control · Mathematics 2021-10-11 Ethan J. LoCicero , Leila Bridgeman

Reliable and secure operation of power systems becomes increasingly challenging as the share of volatile generation rises, leading to largely changing dynamics. Typically, the architecture and structure of controllers in power systems, such…

Systems and Control · Electrical Eng. & Systems 2020-05-06 A. Mesanovic , U. Münz , A. Szabo , M. Mangold , J. Bamberger , M. Metzger , C. Heyde , R. Krebs , R. Findeisen

This paper addresses the data-driven structured controller design problem for continuous-time linear time-invariant (LTI) systems. We consider three control objectives, including stabilization, $H_2$ performance, and $H_\infty$ performance.…

Optimization and Control · Mathematics 2026-01-29 Zhaohua Yang , Yuxing Zhong , Ling Shi

This paper presents novel controllers that yield finite-time stability for linear systems. We first present a sufficient condition for the origin of a scalar system to be finite-time stable. Then we present novel finite-time controllers…

Dynamical Systems · Mathematics 2021-06-11 Kunal Garg , Dimitra Panagou

A new MATLAB package called HIFOO was recently proposed for H-infinity fixed-order controller design. This document illustrates how some standard controller design examples can be solved with this software.

Optimization and Control · Mathematics 2007-05-23 Didier Henrion

We study the robust output regulation of linear boundary control systems by constructing extended systems. The extended systems are established based on solving static differential equations under two new conditions. We first consider the…

Optimization and Control · Mathematics 2021-04-19 Duy Phan , Lassi Paunonen

The purpose of this paper is to formulate and solve a H-infinity controller synthesis problem for a class of non-commutative linear stochastic systems which includes many examples of interest in quantum technology. The paper includes…

Quantum Physics · Physics 2009-04-09 M. R. James , H. I. Nurdin , I. R. Petersen

This paper considers a class of uncertain linear quantum systems subject to uncertain perturbations in the system Hamiltonian. We present a method to design a coherent robust H-infinity controller so that the closed loop system is robustly…

Systems and Control · Computer Science 2015-09-10 Chengdi Xiang , Ian R. Petersen , Daoyi Dong

We consider the characterization and computation of H-infinity norms for a class of time-delay systems. It is well known that in the finite dimensional case the H-infinity norm of a transfer function can be computed using the connections…

Optimization and Control · Mathematics 2020-03-19 Wim Michiels , Suat Gumussoy

Optimal controller synthesis is a bilinear problem and hence difficult to solve in a computationally efficient manner. We are able to resolve this bilinearity for systems with delay by first convexifying the problem in infinite-dimensions -…

Systems and Control · Computer Science 2018-07-13 Matthew M. Peet

The present paper provides a sufficient condition to ensure output finite-time and fixed-time stability. Comparing with analogous researches the proposed result is less restrictive and obtained for a wider class of systems. The presented…

Optimization and Control · Mathematics 2021-05-18 Konstantin Zimenko , Denis Efimov , Andrey Polyakov

Weighted sensitivity minimization is studied within the framework of strongly stabilizing (stable) H-infinity controller design for a class of infinite dimensional systems. This problem has been solved by Ganesh and Pearson, [11], for…

Systems and Control · Electrical Eng. & Systems 2020-03-20 Suat Gumussoy , Hitay Ozbay

An eigenvalue based framework is developed for the stability analysis and stabilization of coupled systems with time-delays, which are naturally described by delay differential algebraic equations. The spectral properties of these equations…

Systems and Control · Electrical Eng. & Systems 2020-03-26 Wim Michiels , Suat Gumussoy

The stabilization of uncertain LTI/LPV time delay systems with time varying delays by state-feedback controllers is addressed. At the difference of other works in the literature, the proposed approach allows for the synthesis of resilient…

Systems and Control · Computer Science 2012-04-06 Corentin Briat , Olivier Sename , Jean-François Lafay

A multi-variable PI (proportional integrating) controller is proved to be optimal for an important class of control problems where performance is specified in terms of frequency weighted H-infinity norms. The problem class includes…

Optimization and Control · Mathematics 2016-12-26 Anders Rantzer , Carolina Lidstrom , Richard Pates

Atmospheric flight phase of a launch vehicle is utilized to evaluate the performance of an H-infinity controller in the presence of disturbances. Dynamics of the vehicle is linearly modeled using time-varying parameters. An operating point…

Systems and Control · Computer Science 2016-11-22 Antonio Graells , Francisco Carrabina

This paper investigates the robust stability and stabilization analysis of interval fractional-order systems with time-varying delay. The stability problem of such systems is solved first, and then using the proposed results a stabilization…

Systems and Control · Electrical Eng. & Systems 2019-09-19 Pouya Badri , Mahdi Sojoodi

This paper designs H2 and H-infinity distributed controllers with local communication and local disturbance rejection. We propose a two-step procedure: first, select closed-loop poles; then, optimize over parameterized controllers. We build…

Systems and Control · Electrical Eng. & Systems 2026-04-06 Yaozhi Du , Jing Shuang Li