Jaap Eising
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View article: Convergence Analysis of Distributed Optimization: A Dissipativity Framework
Convergence Analysis of Distributed Optimization: A Dissipativity Framework Open
We develop a system-theoretic framework for the structured analysis of distributed optimization algorithms. We model such algorithms as a network of interacting dynamical systems and derive tests for convergence based on incremental dissip…
View article: Distributed time-varying Gaussian process regression via Kalman filtering
Distributed time-varying Gaussian process regression via Kalman filtering Open
View article: On analysis of open optimization algorithms
On analysis of open optimization algorithms Open
We develop analysis results for optimization algorithms that are open, that is, with inputs and outputs. Such algorithms arise for instance, when analyzing the effect of noise or disturbance on an algorithm, or when an algorithm is part of…
View article: Data-Driven Structured Robust Control of Linear Systems
Data-Driven Structured Robust Control of Linear Systems Open
Static structured control refers to the task of designing a state-feedback controller such that the control gain satisfies a subspace constraint. Structured control has applications in control of communication-inhibited dynamical systems, …
View article: Decoupling parameter variation from noise: Biquadratic Lyapunov forms in data-driven LPV control
Decoupling parameter variation from noise: Biquadratic Lyapunov forms in data-driven LPV control Open
A promising step from linear towards nonlinear data-driven control is via the design of controllers for linear parameter-varying (LPV) systems, which are linear systems whose parameters are varying along a measurable scheduling signal. How…
View article: Jaap Eising [Ph.D.s in Control]
Jaap Eising [Ph.D.s in Control] Open
How would you pitch your Ph.D. dissertation in one paragraph?
View article: Online Data-Driven Adaptive Control for Unknown Linear Time-Varying Systems
Online Data-Driven Adaptive Control for Unknown Linear Time-Varying Systems Open
This paper proposes a novel online data-driven adaptive control for unknown\nlinear time-varying systems. Initialized with an empirical feedback gain, the\nalgorithm periodically updates this gain based on the data collected over a\nshort …
View article: The Informativity Approach: To Data-Driven Analysis and Control
The Informativity Approach: To Data-Driven Analysis and Control Open
Roughly speaking, systems and control theory deals with the problem of making a concrete physical system behave according to certain desired specifications. To achieve this desired behavior, the system can be interconnected with a physical…
View article: Quadratic Matrix Inequalities with Applications to Data-Based Control
Quadratic Matrix Inequalities with Applications to Data-Based Control Open
This paper studies several problems related to quadratic matrix inequalities (QMIs), i.e., inequalities in the Loewner order involving quadratic functions of matrix variables. In particular, we provide conditions under which the solution s…
View article: Cautious optimization via data informativity
Cautious optimization via data informativity Open
This paper deals with the problem of accurately determining guaranteed suboptimal values of an unknown cost function on the basis of noisy measurements. We consider a set-valued variant to regression where, instead of finding a best estima…
View article: A Behavioral Approach to Data-Driven Control With Noisy Input–Output Data
A Behavioral Approach to Data-Driven Control With Noisy Input–Output Data Open
This paper deals with data-driven stability analysis and feedback stabilization of linear input-output systems in auto-regressive (AR) form. We assume that noisy input-output data on a finite time-interval have been obtained from some unkn…
View article: Data-driven mode detection and stabilization of unknown switched linear systems
Data-driven mode detection and stabilization of unknown switched linear systems Open
This paper considers the stabilization of unknown switched linear systems using data. Instead of a full system model, we have access to a finite number of trajectories of each of the different modes prior to the online operation of the sys…
View article: The informativity approach to data-driven analysis and control
The informativity approach to data-driven analysis and control Open
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 dete…
View article: When sampling works in data-driven control: Informativity for stabilization in continuous time
When sampling works in data-driven control: Informativity for stabilization in continuous time Open
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 …
View article: A tutorial on the informativity framework for data-driven control
A tutorial on the informativity framework for data-driven control Open
The purpose of this paper is to provide a tutorial on the so-called informativity framework for direct data-driven control. This framework views data-driven analysis and design through the lens of robust control, and aims at assessing syst…
View article: A Geometric Approach to Convex Processes: From Reachability to Stabilizability
A Geometric Approach to Convex Processes: From Reachability to Stabilizability Open
This paper studies system theoretic properties of the class of difference inclusions of convex processes. We will develop a framework considering eigenvalues and eigenvectors, weakly and strongly invariant cones, and a decomposition of con…
View article: Using data informativity for online stabilization of unknown switched linear systems
Using data informativity for online stabilization of unknown switched linear systems Open
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 stat…
View article: Informativity for centralized design of distributed controllers for networked systems
Informativity for centralized design of distributed controllers for networked systems Open
Recent work in data-driven control has led to methods that find stabilizing controllers directly from measurements of an unknown system. However, for multi-agent systems we are often interested in finding controllers that take their distri…
View article: A behavioral approach to data-driven control with noisy input-output data
A behavioral approach to data-driven control with noisy input-output data Open
This paper deals with data-driven stability analysis and feedback stabillization of linear input-output systems in autoregressive (AR) form. We assume that noisy input-output data on a finite time-interval have been obtained from some unkn…
View article: On eigenvectors of convex processes in non-pointed cones
On eigenvectors of convex processes in non-pointed cones Open
View article: Quadratic matrix inequalities with applications to data-based control
Quadratic matrix inequalities with applications to data-based control Open
This paper studies several problems related to quadratic matrix inequalities (QMI's), i.e., inequalities in the Loewner order involving quadratic functions of matrix variables. In particular, we provide conditions under which the solution …
View article: Informativity of noisy data for structural properties of linear systems
Informativity of noisy data for structural properties of linear systems Open
This paper deals with developing tests for checking whether an unknown system has certain structural properties. The tests that we are aiming at are in terms of noisy input-state-output data obtained from the unknown system. Since, in gene…
View article: A geometric framework for constraints and data: from linear systems to convex processes
A geometric framework for constraints and data: from linear systems to convex processes Open
In part one of this thesis we develop the theory of analyis of convex processes. The results of this development can be directly applied to the analysis of discrete time, linear, time-invariant mathematical systems with conic constraints. …
View article: On reachability and null-controllability of nonstrict convex processes
On reachability and null-controllability of nonstrict convex processes Open
This paper studies reachability and null-controllability for difference inclusions involving convex processes. Such difference inclusions arise, for instance, in the study of linear discrete-time systems whose inputs and/or states are cons…
View article: On eigenvectors of convex processes in non-pointed cones
On eigenvectors of convex processes in non-pointed cones Open
Spectral analysis of convex processes has led to many results in the analysis of differential inclusions with a convex process. In particular the characterization of eigenvalues with eigenvectors in a given cone has led to results on contr…
View article: On eigenvalues/eigenvectors of convex processes
On eigenvalues/eigenvectors of convex processes Open
Spectral analysis of convex processes has led to many results in the analysis of differential inclusions with a convex process. In particular the characterization of eigenvalues with eigenvectors in a given cone has led to results on contr…
View article: A geometric approach to convex processes: from reachability to stabilizability
A geometric approach to convex processes: from reachability to stabilizability Open
This paper studies system theoretic properties of the class of difference inclusions of convex processes. We will develop a framework considering eigenvalues and eigenvectors, weakly and strongly invariant cones, and a decomposition of con…
View article: Data Informativity for Analysis of Linear Systems With Convex Conic Constraints
Data Informativity for Analysis of Linear Systems With Convex Conic Constraints Open
This paper studies the informativity problem for reachability and null-controllability of constrained systems. To be precise, we will focus on an unknown linear systems with convex conic constraints from which we measure data consisting of…
View article: Data informativity for analysis of linear systems with convex conic\n constraints
Data informativity for analysis of linear systems with convex conic\n constraints Open
This paper studies the informativity problem for reachability and\nnull-controllability of constrained systems. To be precise, we will focus on an\nunknown linear systems with convex conic constraints from which we measure data\nconsisting…
View article: On Duality for Lyapunov Functions of Nonstrict Convex Processes
On Duality for Lyapunov Functions of Nonstrict Convex Processes Open
This paper provides a novel definition for Lyapunov functions for difference inclusions defined by convex processes. It is shown that this definition reflects stability properties of nonstrict convex processes better than previously used d…