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In this paper we consider a class of linear time invariant systems with infinitely many unstable modes. By using the parameterization of all stabilizing controllers, we show that H-infinity controllers for such systems can be computed using…

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

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

This paper investigates stable suboptimal H-infinity controllers for a class of single-input single-output time-delay systems. For a given plant and weighting functions, the optimal controller minimizing the mixed sensitivity (and the…

Systems and Control · Electrical Eng. & Systems 2020-03-17 Suat Gumussoy , Hitay Ozbay

A state space based design method is given to find strongly stabilizing controllers for multiple-input-multiple-output plants (MIMO). A sufficient condition is derived for the existence of suboptimal stable H-infinity controller in terms of…

Systems and Control · Electrical Eng. & Systems 2020-03-13 Suat Gumussoy , Hitay Ozbay

In this paper sensitivity minimization problem is considered for a class of unstable time delay systems. Our goal is to find a stable controller stabilizing the feedback system and giving rise to smallest H-infinity norm for the sensitivity…

Systems and Control · Electrical Eng. & Systems 2020-03-04 Suat Gumussoy , Hitay Ozbay

H-infinity controllers are frequently used in control theory due to their robust performance and stabilization. Classical H-infinity controller synthesis methods for finite dimensional LTI MIMO plants result in high-order controllers for…

Systems and Control · Electrical Eng. & Systems 2020-03-25 Suat Gumussoy , Wim Michiels

In this paper, we study the stability of suboptimal H-infinity controllers for time-delay systems. The optimal H-infinity controller may have finitely or infinitely many unstable poles. A stable suboptimal H-infinity controller design…

Systems and Control · Electrical Eng. & Systems 2020-03-04 Suat Gumussoy , Hitay Ozbay

This manuscript discusses a scalable controller synthesis method for networked systems with a large number of identical subsystems based on the H-infinity control framework. The dynamics of the individual subsystems are described by…

Optimization and Control · Mathematics 2020-09-10 Pieter Appeltans , Wim Michiels

The ever increasing complexity of real-time control systems results in significant deviations in the timing of sensing and actuation, which may lead to degraded performance or even instability. In this paper we present a method to analyze…

Systems and Control · Electrical Eng. & Systems 2020-04-27 Maximilian Gaukler , Günter Roppenecker , Peter Ulbrich

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 focuses on the invariance control problem for discrete-time switched nonlinear systems. The proposed approach computes controlled invariant sets in a finite number of iterations and directly yields a partition-based invariance…

Optimization and Control · Mathematics 2016-09-01 Yinan Li , Jun Liu

In this paper, a method is presented to synthesize neural network controllers such that the feedback system of plant and controller is dissipative, certifying performance requirements such as L2 gain bounds. The class of plants considered…

Systems and Control · Electrical Eng. & Systems 2024-04-12 Neelay Junnarkar , Murat Arcak , Peter Seiler

This paper proposes a model predictive controller for discrete-time linear systems with additive, possibly unbounded, stochastic disturbances and subject to chance constraints. By computing a polytopic probabilistic positively invariant set…

Optimization and Control · Mathematics 2024-09-23 Kai Wang , Kiet Tuan Hoang , Sébastien Gros

This article proposes an approach to design output-feedback controllers for unknown continuous-time linear time-invariant systems using only input-output data from a single experiment. To address the lack of state and derivative…

Systems and Control · Electrical Eng. & Systems 2025-05-29 Alessandro Bosso , Marco Borghesi , Andrea Iannelli , Giuseppe Notarstefano , Andrew R. Teel

H-infinity optimal control and estimation are addressed for a class of systems governed by partial differential equations with bounded input and output operators. Diffusion equations are an important example in this class. Explicit formulas…

Optimization and Control · Mathematics 2021-06-09 Carolina Bergeling , Kirsten A. Morris , Anders Rantzer

We consider the problem of adaptive stabilization for discrete-time, multi-dimensional linear systems with bounded control input constraints and unbounded stochastic disturbances, where the parameters of the true system are unknown. To…

Systems and Control · Electrical Eng. & Systems 2023-04-04 Seth Siriya , Jingge Zhu , Dragan Nešić , Ye Pu

Output-based controllers are known to be fragile with respect to model uncertainties. The standard $\mathcal{H}_{\infty}$-control theory provides a general approach to robust controller design based on the solution of the…

Optimization and Control · Mathematics 2022-04-22 Peter Benner , Jan Heiland , Steffen W. R. Werner

We consider the task of motion control for non-prehensile manipulation using parallel kinematics mechatronic setup, in particular, stabilization of a ball on a plate under unmeasured external harmonic disturbances. System parameters are…

Systems and Control · Electrical Eng. & Systems 2020-05-19 Dmitrii Dobriborsci , Sergey Kolyubin , Alexey Bobtsov

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

The theory of linear time invariant systems is well established and allows, among other things, to formulate and solve control problems in finite time. In this context the control laws are typically taken in a space of the form L^p(0,T;U).…

Optimization and Control · Mathematics 2024-09-19 Lucas Davron
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