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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

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

Optimization and Control · Mathematics 2026-05-27 Pietro Kristović , Andrej Jokić , Mircea Lazar

This paper addresses data-driven control of continuous-time systems. We develop a framework based on synthesis operators associated with input and state trajectories. A key advantage of the proposed method is that it does not require the…

Optimization and Control · Mathematics 2025-11-27 Masashi Wakaiki

In this paper, we will propose linear-matrix-inequality-based techniques for the design of sampled-data controllers that render the closed-loop system dissipative with respect to \textcolor{blue}{quadratic supply functions}, which includes…

Systems and Control · Electrical Eng. & Systems 2024-03-14 L. M. Spin , M. C. F. Donkers

In this paper we propose a data-driven output-feedback controller synthesis method for discrete-time linear time-invariant systems in a specific autoregressive form. The synthesis goal is either to achieve dissipativity with respect to a…

Optimization and Control · Mathematics 2026-04-03 Pietro Kristović , Andrej Jokić , Mircea Lazar

We consider the problem of synthesizing a dynamic output-feedback controller for a linear system, using solely input-output data corrupted by measurement noise. To handle input-output data, an auxiliary representation of the original system…

Systems and Control · Electrical Eng. & Systems 2025-09-17 Lidong Li , Andrea Bisoffi , Claudio De Persis , Nima Monshizadeh

This work studies data-driven switched controller design for discrete-time switched linear systems. Instead of having access to the full system dynamics, an initialization phase is performed, during which noiseless measurements of the state…

Optimization and Control · Mathematics 2022-09-13 Jaap Eising , Shenyu Liu , Sonia Martinez , Jorge Cortes

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

The framework of linear parameter-varying (LPV) systems has shown to be a powerful tool for the design of controllers for complex nonlinear systems using linear tools. In this work, we derive novel methods that allow to synthesize LPV…

Systems and Control · Electrical Eng. & Systems 2025-07-01 Chris Verhoek , Roland Tóth , Hossam S. Abbas

We study data-driven stabilization of continuous-time systems in autoregressive form when only noisy input-output data are available. First, we provide an operator-based characterization of the set of systems consistent with the data. Next,…

Optimization and Control · Mathematics 2026-02-04 Masashi Wakaiki

The goal of this paper is to provide a tutorial on the so-called informativity framework for direct data-driven analysis and control. This framework achieves certified data-based analysis and control by assessing system properties and…

Optimization and Control · Mathematics 2023-02-22 Henk J. van Waarde , Jaap Eising , M. Kanat Camlibel , Harry L. Trentelman

The concept of dissipativity, as introduced by Jan Willems, is one of the cornerstones of systems and control theory. Typically, dissipativity properties are verified by resorting to a mathematical model of the system under consideration.…

Optimization and Control · Mathematics 2021-09-07 Henk J. van Waarde , M. Kanat Camlibel , Paolo Rapisarda , Harry L. Trentelman

There exists a vast amount of literature how dissipativity properties can be exploited to design controllers for stability and performance guarantees for the closed loop. With the rising availability of data, there has therefore been an…

Systems and Control · Electrical Eng. & Systems 2020-04-17 Anne Koch , Julian Berberich , Frank Allgöwer

We propose an input-output data-driven framework for certifying the stability of interconnected multiple-input-multiple-output linear time-invariant discrete-time systems via QSR-dissipativity. That is, by using measured input-output…

Systems and Control · Electrical Eng. & Systems 2025-12-16 Alejandra Sandoval-Carranza , Juan E. Machado , Johannes Schiffer

We establish data-driven versions of the System Level Synthesis (SLS) parameterization of achievable closed-loop system responses for a linear-time-invariant system over a finite-horizon. Inspired by recent work in data-driven control that…

Optimization and Control · Mathematics 2021-03-09 Anton Xue , Nikolai Matni

This paper introduces a notion of data informativity for stabilization tailored to continuous-time signals and systems. We establish results comparable to those known for discrete-time systems with sampled data. We justify that additional…

Optimization and Control · Mathematics 2024-06-14 Jaap Eising , Jorge Cortes

Dissipativity properties have proven to be very valuable for systems analysis and controller design. With the rising amount of available data, there has therefore been an increasing interest in determining dissipativity properties from…

Systems and Control · Electrical Eng. & Systems 2020-10-06 Anne Koch , Julian Berberich , Frank Allgöwer

We consider the problem of designing distributed controllers to guarantee dissipativity of a networked system comprised of dynamically coupled subsystems. We require that the control synthesis is carried out locally at the subsystem-level,…

Systems and Control · Computer Science 2020-04-30 Etika Agarwal , S. Sivaranjani , Vijay Gupta , Panos Antsaklis

We consider the problem of designing a state-feedback controller for a linear system, based only on noisy input-state data. We focus on input-state data corrupted by measurement errors, which, albeit less investigated, are as relevant as…

Systems and Control · Electrical Eng. & Systems 2024-05-21 Andrea Bisoffi , Lidong Li , Claudio De Persis , Nima Monshizadeh

Discrete-time systems cannot be passive unless there is a direct feedthrough from the input to the output. For passivity-based control to be exploited nevertheless, some authors introduce virtual outputs, while others rely on…

Optimization and Control · Mathematics 2024-06-25 Andrea Martinelli , Ahmed Aboudonia , John Lygeros
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