Publications related to Fixed-Order Controller Design for Systems with Polytopic Uncertainty Using LMIs

Data-driven LPV Control for Micro-disturbance Rejection in a Hybrid Isolation Platform

A novel approach for linear parameter-varying (LPV) controller synthesis for adaptive rejection of time-varying sinusoidal disturbances is proposed. Only the frequency response data of a linear time-invariant (LTI) multiple-input multiple-output (MIMO) sys ...

2024

Stochastic homogenization of degenerate integral functionals with linear growth

Matthias Ruf

We study the limit behaviour of sequences of non-convex, vectorial, random integral functionals, defined on W1,1, whose integrands are ergodic and satisfy degenerate linear growth conditions. The latter involve suitable random, scale-dependent weight-funct ...

2023

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

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

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

Critical Parameters for Scalable Distributed Learning with Large Batches and Asynchronous Updates

Martin Jaggi, Sebastian Urban Stich, Amirkeivan Mohtashami

It has been experimentally observed that the efficiency of distributed training with stochastic gradient (SGD) depends decisively on the batch size and—in asynchronous implementations—on the gradient staleness. Especially, it has been observed that the spe ...

2021

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 lower bound on opaque sets

János Pach

It is proved that the total length of any set of countably many rectifiable curves whose union meets all straight lines that intersect the unit square U is at least 2.00002. This is the first improvement on the lower bound of 2 known since 1964. A similar ...

ELSEVIER SCIENCE BV2019

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

Fixed-Order Controller Design for Systems with Polytopic Uncertainty Using LMIs

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Data-driven LPV Control for Micro-disturbance Rejection in a Hybrid Isolation Platform

Stochastic homogenization of degenerate integral functionals with linear growth

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

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

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

Critical Parameters for Scalable Distributed Learning with Large Batches and Asynchronous Updates

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

A lower bound on opaque sets

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

Data-driven LPV Control for Micro-disturbance Rejection in a Hybrid Isolation Platform

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

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

Critical Parameters for Scalable Distributed Learning with Large Batches and Asynchronous Updates

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

Stochastic homogenization of degenerate integral functionals with linear growth

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

A lower bound on opaque sets

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