M. Kanat Camlibel
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View article: Chebyshev centers and radii for sets induced by quadratic matrix inequalities
Chebyshev centers and radii for sets induced by quadratic matrix inequalities Open
View article: Fragility Analysis of Data-Driven Feedback Gains
Fragility Analysis of Data-Driven Feedback Gains Open
For linear time-invariant systems, input-state data collected during an open-loop experiment can remedy the lack of knowledge of system parameters. However, such data do not contain information about other system uncertainties such as feed…
View article: Data-driven stabilization of polynomial systems using density functions
Data-driven stabilization of polynomial systems using density functions Open
This paper studies data-driven stabilization of a class of unknown polynomial systems using data corrupted by bounded noise. Existing work addressing this problem has focused on designing a controller and a Lyapunov function so that a cert…
View article: The shortest experiment for linear system identification
The shortest experiment for linear system identification Open
View article: A New Perspective on Willems’ Fundamental Lemma: Universality of Persistently Exciting Inputs
A New Perspective on Willems’ Fundamental Lemma: Universality of Persistently Exciting Inputs Open
In this letter, we provide new insight into Willems et al.’s fundamental lemma by studying the concept of universal inputs. An input is called universal if, when applied to any controllable system, it leads to input-output data that parame…
View article: From data to reduced-order models via moment matching
From data to reduced-order models via moment matching Open
A new method for data-driven interpolatory model reduction for discrete-time systems is presented in this paper. Using the so-called data informativity perspective, we define a framework that enables the computation of moments at given (po…
View article: The shortest experiment for linear system identification
The shortest experiment for linear system identification Open
This paper is concerned with the following problem: given an upper bound of the state-space dimension and lag of a linear time-invariant system, design a sequence of inputs so that the system dynamics can be recovered from the resulting in…
View article: Beyond the fundamental lemma: from finite time series to linear system
Beyond the fundamental lemma: from finite time series to linear system Open
We state necessary and sufficient conditions to uniquely identify (modulo state isomorphism) a linear time-invariant minimal input-state-output system from finite input-output data and upper- and lower bounds on lag and state space dimensi…
View article: Chebyshev centers and radii for sets induced by quadratic matrix inequalities
Chebyshev centers and radii for sets induced by quadratic matrix inequalities Open
This paper studies sets of matrices induced by quadratic inequalities. In particular, the center and radius of a smallest ball containing the set, called a Chebyshev center and the Chebyshev radius, are studied. In addition, this work stud…
View article: Relating the Network Graphs of State-Space Representations to Granger Causality Conditions
Relating the Network Graphs of State-Space Representations to Granger Causality Conditions Open
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: Orthogonal Polynomial Bases for Data-Driven Analysis and Control of Continuous-Time Systems
Orthogonal Polynomial Bases for Data-Driven Analysis and Control of Continuous-Time Systems Open
We use polynomial approximation theory to perform data-driven analysis and control of linear, continuous-time invariant systems. We transform the continuous-time input- and state trajectories into discrete sequences consisting of the coeff…
View article: A “fundamental lemma” for continuous-time systems, with applications to data-driven simulation
A “fundamental lemma” for continuous-time systems, with applications to data-driven simulation Open
We are given one input–output (i-o) trajectory (u,y) produced by a linear, continuous time-invariant system, and we compute its Chebyshev polynomial series representation. We show that if the input trajectory u is sufficiently persistently…
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: Port-Hamiltonian Systems Theory and Monotonicity
Port-Hamiltonian Systems Theory and Monotonicity Open
The relationship of the theory of port-Hamiltonian systems with the mathematical concept of monotonicity is explored. The earlier introduced notion of incrementally port-Hamiltonian systems is extended to systems defined with respect to ma…
View article: Stabilizability of Strict Convex Processes with Respect to Arbitrary Stability Domains
Stabilizability of Strict Convex Processes with Respect to Arbitrary Stability Domains Open
This paper studies the stabilizability problem with respect to an arbitrary stability domain for strict closed convex processes. The main result states necessary and sufficient conditions in terms of the eigenstructure of the dual processe…
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: 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: From Data to Reduced-Order Models via Generalized Balanced Truncation
From Data to Reduced-Order Models via Generalized Balanced Truncation Open
This paper proposes a data-driven model reduction approach on the basis of noisy data with a known noise model. Firstly, the concept of data reduction is introduced. In particular, we show that the set of reduced-order models obtained by a…
View article: A “Fundamental Lemma” for Continuous-Time Systems, with Applications to Data-Driven Simulation
A “Fundamental Lemma” for Continuous-Time Systems, with Applications to Data-Driven Simulation Open
View article: Data-driven simulation of continuous-time linear time-invariant systems: the autonomous case
Data-driven simulation of continuous-time linear time-invariant systems: the autonomous case Open
We use orthogonal bases for continuous-time function spaces to state a version of Willems' lemma (Willems et al., 2005) for autonomous systems. We assume that an infinite number of representation coefficients of a “sufficiently rich” traje…
View article: Guest Editorial Introduction to the IEEE Control Systems Letters Special Section on Data-Driven Analysis and Control
Guest Editorial Introduction to the IEEE Control Systems Letters Special Section on Data-Driven Analysis and Control Open
Mathematical models play a crucial role in systems and control theory. They can take various forms, including ordinary or partial differential equations, difference equations, transfer matrices, and their combinations with logic elements. …
View article: A real-time balancing market optimization with personalized prices: From bilevel to convex
A real-time balancing market optimization with personalized prices: From bilevel to convex Open
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 Persistency of Excitation Condition for Continuous-Time Systems
A Persistency of Excitation Condition for Continuous-Time Systems Open
We study identifiability for linear, continuous time-invariant systems. We state sufficient conditions on an input trajectory u and a finite number of its derivatives, in order to be able to deduce all differential equations describing the…
View article: Bilevel aggregator-prosumers' optimization problem in real-time: A convex optimization approach
Bilevel aggregator-prosumers' optimization problem in real-time: A convex optimization approach Open
This paper proposes a Real-Time Market (RTM) platform for an aggregator and\nits corresponding prosumers to participate in the electricity wholesale market.\nThe proposed energy market platform is modeled as a bilevel optimization\nproblem…
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: $\mathcal {H}_{2}$ and $\mathcal {H}_\infty$ Suboptimal Distributed Filters Design for Linear Systems
$\mathcal {H}_{2}$ and $\mathcal {H}_\infty$ Suboptimal Distributed Filters Design for Linear Systems Open
This article investigates the H2 and H∞ suboptimal distributed filtering problems for continuous-time linear systems. We consider a linear system monitored by a number of filters, where each of the filters receive only part of the measured…
View article: Port-Hamiltonian systems and monotonicity
Port-Hamiltonian systems and monotonicity Open
The relationships between port-Hamiltonian systems modeling and the notion of monotonicity are explored. The earlier introduced notion of incrementally port-Hamiltonian systems is extended to maximal cyclically monotone relations, together…
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…