Publications related to Robust fixed-order H infinity Controller Design for Spectral Models by Convex Optimization

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

Data-driven LPV Disturbance Rejection Control with IQC-based Stability Guarantees for Rate-bounded Scheduling Parameter Variations

Alireza Karimi, Elias Sebastian Klauser

In this paper, the challenge of asymptotically rejecting sinusoidal disturbances with unknown time-varying frequency and bounded rate is explored. A novel data-driven approach for designing linear parameter-varying (LPV) con- troller is introduced, leverag ...

2024

Robust Data-Driven Controller Design with Finite Frequency Samples

Alireza Karimi, Philippe Louis Schuchert

Modern control synthesis methods rely on accurate models to derive a performant controller. Obtaining a good model is often a costly step, and has led to a renewed interest in data-driven synthesis methods. Frequency-response-based synthesis methods have b ...

2024

Achieving Optimal Performance With Data-Driven Frequency-Based Control Synthesis Methods

Alireza Karimi, Philippe Louis Schuchert

Frequency Response Function (FRF)-based control synthesis methods for Linear Time-Invariant (LTI) systems have been widely used in control theory and industry. Recently, there has been renewed interest in these methods, employing numerical optimization too ...

Piscataway2023

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

Stabilization and Accuracy Improvement of Power-Hardware-in-the-Loop Test Using a Robust Data-Driven Method

Alireza Karimi, Seyed Sohail Madani

Power-Hardware-In-the-Loop (PHIL) setups have gained high importance in validation of the performance of newly developed algorithms and devices with low risk and implementation cost. However, the interconnection of a power hardware with a simulated model v ...

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

Sample Complexity of Linear Quadratic Gaussian (LQG) Control for Output Feedback Systems

Maryam Kamgarpour, Luca Furieri, Na Li

This paper studies a class of partially observed Linear Quadratic Gaussian (LQG) problems with unknown dynamics. We establish an end-to-end sample complexity bound on learning a robust LQG controller for open-loop stable plants. This is achieved using a ro ...

PMLR2021

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

Robust fixed-order H infinity Controller Design for Spectral Models by Convex Optimization

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

Data-driven LPV Disturbance Rejection Control with IQC-based Stability Guarantees for Rate-bounded Scheduling Parameter Variations

Robust Data-Driven Controller Design with Finite Frequency Samples

Achieving Optimal Performance With Data-Driven Frequency-Based Control Synthesis Methods

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

Stabilization and Accuracy Improvement of Power-Hardware-in-the-Loop Test Using a Robust Data-Driven Method

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

Sample Complexity of Linear Quadratic Gaussian (LQG) Control for Output Feedback Systems

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

Robust Data-Driven Controller Design with Finite Frequency Samples

Achieving Optimal Performance With Data-Driven Frequency-Based Control Synthesis Methods

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

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

Data-driven LPV Disturbance Rejection Control with IQC-based Stability Guarantees for Rate-bounded Scheduling Parameter Variations

First Order Methods For Globally Optimal Distributed Controllers Beyond Quadratic Invariance

Sample Complexity of Linear Quadratic Gaussian (LQG) Control for Output Feedback Systems

Stabilization and Accuracy Improvement of Power-Hardware-in-the-Loop Test Using a Robust Data-Driven Method

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