Robust stability and performance analysis based on integral quadratic constraints

J Veenman, CW Scherer, H Köroğlu - European Journal of Control, 2016 - Elsevier
The integral quadratic constraints (IQC) approach facilitates a systematic and efficient
analysis of robust stability and performance for uncertain dynamical systems based on linear …

Mixed Control via Nonsmooth Optimization

P Apkarian, D Noll, A Rondepierre - SIAM Journal on Control and Optimization, 2008 - SIAM
We present a new approach to mixed H_2/H_∞ output feedback control synthesis. Our
method uses nonsmooth mathematical programming techniques to compute locally optimal …

Nonsmooth µ‐synthesis

P Apkarian - International Journal of Robust and Nonlinear …, 2011 - Wiley Online Library
We revisit robust complex‐and mixed‐µ‐synthesis problems based on upper bounds and
show that they can be recast as specially structured controller design programs. The …

A trust region spectral bundle method for nonconvex eigenvalue optimization

P Apkarian, D Noll, O Prot - SIAM Journal on Optimization, 2008 - SIAM
We present a nonsmooth optimization technique for nonconvex maximum eigenvalue
functions and for nonsmooth functions which are infinite maxima of eigenvalue functions. We …

Non‐smooth structured control design with application to PID loop‐shaping of a process

P Apkarian, V Bompart, D Noll - International Journal of Robust …, 2007 - Wiley Online Library
Feedback controllers with specific structure arise frequently in applications because they are
easily apprehended by design engineers and facilitate on‐board implementations and re …

A proximity control algorithm to minimize nonsmooth and nonconvex functions

D Noll, O Prot, A Rondepierre - Pacific Journal of Optimization, 2008 - unilim.hal.science
We present a new proximity control bundle algorithm to minimize nonsmooth and
nonconvex locally Lipschitz functions. In contrast with the traditional oracle-based methods …

Nonsmooth optimization and robust control

AS Lewis - Annual Reviews in Control, 2007 - Elsevier
Many questions of robust control analysis and synthesis fundamentally involve nonsmooth
sets and functions, and their variational properties. Central examples include distances to …

Low frequency current-mode control for DC-DC boost converters with overshoot suppression

P Li, Y Wang, L Liu, X Li, Z Zuo - IEEE Transactions on Circuits …, 2022 - ieeexplore.ieee.org
The DC-DC converter severs as one of the crucial components in DC microgrid applications.
In this paper, a novel low frequency current-mode control strategy is proposed to improve …

Nonsmooth bundle trust-region algorithm with applications to robust stability

P Apkarian, D Noll, L Ravanbod - Set-Valued and variational analysis, 2016 - Springer
We propose a bundle trust-region algorithm to minimize locally Lipschitz functions which are
potentially nonsmooth and nonconvex. We prove global convergence of our method and …

H negative imaginary static output feedback controller for low frequency networked control systems

H Yang, S Wang, P Li - International Journal of Control, 2024 - Taylor & Francis
In this paper, an H∞ negative imaginary static output feedback (SOF) controller is designed
for a low frequency (LF) networked control system (NCS) with time-delays. A difference …