Publications related to Fixed-order H-infinity and H-2 Controller Design for Continuous-time Polytopic Systems: An LMI-based Approach

Koopman-based Data-driven Robust Control of Nonlinear Systems Using Integral Quadratic Constraints

This paper introduces a novel method for data-driven robust control of nonlinear systems based on the Koopman operator, utilizing Integral Quadratic Constraints (IQCs). The Koopman operator theory facilitates the linear representation of nonlinear system d ...

2024

A convex set of robust D—stabilizing controllers using Cauchy's argument principle

Alireza Karimi, Philippe Louis Schuchert

A new approach is presented to obtain a convex set of robust D—stabilizing fixed structure controllers, relying on Cauchy's argument principle. A convex set of D—stabilizing controllers around an initial D—stabilizing controller for a multi-model set is re ...

Elsevier2022

On the Equivalence of Youla, System-Level, and Input-Output Parameterizations

Maryam Kamgarpour, Luca Furieri, Yu Zheng

A convex parameterization of internally stabilizing controllers is fundamental for many controller synthesis procedures. The celebrated Youla parameterization relies on a doubly coprime factorization of the system, while the recent system-level and input-o ...

2021

A first-order primal-dual method with adaptivity to local smoothness

Volkan Cevher, Maria-Luiza Vladarean

We consider the problem of finding a saddle point for the convex-concave objective

\min_x \max_y f(x) + \langle Ax, y\rangle - g^*(y)

, where

f

is a convex function with locally Lipschitz gradient and

g

is convex and possibly non-smooth. We propose an ...

2021

First Order Methods For Globally Optimal Distributed Controllers Beyond Quadratic Invariance

Maryam Kamgarpour, Luca Furieri

We study the distributed Linear Quadratic Gaussian (LQG) control problem in discrete-time and finite-horizon, where the controller depends linearly on the history of the outputs and it is required to lie in a given subspace, e.g. to possess a certain spars ...

IEEE2020

System-level, Input-output and New Parameterizations of Stabilizing Controllers, and Their Numerical Computation

Maryam Kamgarpour, Luca Furieri, Na Li

It is known that the set of internally stabilizing controller

\mathcal{C}_{\text{stab}}

is non-convex, but it admits convex characterizations using certain closed-loop maps: a classical result is the {Youla parameterization}, and two recent notions are t ...

2020

A data-driven approach to model-reference control with applications to particle accelerator power converters

Alireza Karimi, Achille Nicoletti, Michele Martino

A new model-reference data-driven approach is presented which uses the frequency response data of a system in order to avoid the problem of unmodeled dynamics associated with low-order parametric models. It is shown that a convex optimization problem can b ...

PERGAMON-ELSEVIER SCIENCE LTD2019

Discrete-time regional pole-placement using convex approximations: Theory and application to a boost converter

Emilio Maddalena

The problem of allocating the closed-loop poles of linear systems in specific regions of the complex plane defined by discrete time-domain requirements is addressed. The resulting non-convex set is inner-approximated by a convex region described with linea ...

2019

Robust control of systems with sector nonlinearities via convex optimization: A data-driven approach

Alireza Karimi, Achille Nicoletti

In this paper, a new data-driven method for designing robust controllers is proposed for systemswith sector-bounded nonlinearities and multimodel uncertainties. The results from the circle criterion are used to generate necessary and sufficient convex cons ...

WILEY2019

An Input–Output Parametrization of Stabilizing Controllers: Amidst Youla and System Level Synthesis

Maryam Kamgarpour, Luca Furieri

This letter proposes a novel input-output parametrization of the set of internally stabilizing output-feedback controllers for linear time invariant (LTI) systems. Our underlying idea is to directly treat the closed-loop transfer matrices from disturbances ...

2019

Fixed-order H-infinity and H-2 Controller Design for Continuous-time Polytopic Systems: An LMI-based Approach

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Koopman-based Data-driven Robust Control of Nonlinear Systems Using Integral Quadratic Constraints

A convex set of robust D—stabilizing controllers using Cauchy's argument principle

On the Equivalence of Youla, System-Level, and Input-Output Parameterizations

A first-order primal-dual method with adaptivity to local smoothness

First Order Methods For Globally Optimal Distributed Controllers Beyond Quadratic Invariance

System-level, Input-output and New Parameterizations of Stabilizing Controllers, and Their Numerical Computation

A data-driven approach to model-reference control with applications to particle accelerator power converters

Discrete-time regional pole-placement using convex approximations: Theory and application to a boost converter

Robust control of systems with sector nonlinearities via convex optimization: A data-driven approach

An Input–Output Parametrization of Stabilizing Controllers: Amidst Youla and System Level Synthesis

Robust control of systems with sector nonlinearities via convex optimization: A data-driven approach

A data-driven approach to model-reference control with applications to particle accelerator power converters

System-level, Input-output and New Parameterizations of Stabilizing Controllers, and Their Numerical Computation

On the Equivalence of Youla, System-Level, and Input-Output Parameterizations

A first-order primal-dual method with adaptivity to local smoothness

Discrete-time regional pole-placement using convex approximations: Theory and application to a boost converter

Koopman-based Data-driven Robust Control of Nonlinear Systems Using Integral Quadratic Constraints

A convex set of robust D—stabilizing controllers using Cauchy's argument principle

First Order Methods For Globally Optimal Distributed Controllers Beyond Quadratic Invariance

An Input–Output Parametrization of Stabilizing Controllers: Amidst Youla and System Level Synthesis