[图书][B] Advances in linear matrix inequality methods in control

L El Ghaoui, S Niculescu - 2000 - SIAM
Linear matrix inequalities (LMIs) have emerged recently as a useful tool for solving a
number of control problems. The basic idea of the LMI method in control is to interpret a …

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 …

Parametric robust structured control design

P Apkarian, MN Dao, D Noll - IEEE Transactions on automatic …, 2015 - ieeexplore.ieee.org
We present a new approach to parametric robust controller design, where we compute
controllers of arbitrary order and structure which minimize the worst-case norm over a pre …

Improved stability analysis and gain-scheduled controller synthesis for parameter-dependent systems

F Wang, V Balakrishnan - IEEE Transactions on Automatic …, 2002 - ieeexplore.ieee.org
We present new algorithms for robust stability analysis and gain-scheduled controller
synthesis for linear systems affected by time-varying parametric uncertainties. These new …

Multiplier theory for stability analysis of anti-windup control systems

MV Kothare, M Morari - Automatica, 1999 - Elsevier
We apply the passivity theorem with appropriate choice of multipliers to develop a general
framework for analyzing stability of anti-windup bumpless transfer (AWBT) schemes. For …

Nonlinear performance of a PI controlled missile: an explanation

V Fromion, G Scorletti, G Ferreres - International Journal of …, 1999 - Wiley Online Library
The primary aim of this paper is to investigate the practical interest of the incremental norm
approach for analysing (realistic) nonlinear dynamical systems. In this framework indeed …

Circle and Popov criteria as tools for nonlinear feedback design

M Arcak, M Larsen, P Kokotović - Automatica, 2003 - Elsevier
We convert classical absolute stability criteria into nonlinear design procedures which
employ efficient numerical tools, such as LMI's. We first analyze an earlier circle criterion …

Incremental quadratic stability

L D'Alto, M Corless - Numerical Algebra, Control and Optimization, 2013 - aimsciences.org
The concept of incremental quadratic stability (δQS) is very useful in treating systems with
persistently acting inputs. To illustrate, if a timeinvariant δQS system is subject to a constant …

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 …

Structured robust control against mixed uncertainty

RSS De Aguiar, P Apkarian… - IEEE Transactions on …, 2017 - ieeexplore.ieee.org
We present new approaches to designing structured controllers, which are robust in the
presence of mixed real parametric and complex dynamic uncertainty. As the synthesis of …