All controllers for the general H∞ control problem: LMI existence conditions and state space formulas

T Iwasaki, RE Skelton - Automatica, 1994 - Elsevier
This paper presents all controllers for the general H∞ control problem (with no assumptions
on the plant matrices). Necessary and sufficient conditions for the existence of an H∞ …

Mixed H/sub 2//H/sub infinity/control: a convex optimization approach

PP Khargonekar, MA Rotea - IEEE Transactions on Automatic …, 1991 - ieeexplore.ieee.org
The problem of finding an internally stabilizing controller that minimizes a mixed H/sub
2//H/sub infinity/performance measure subject to an inequality constraint on the H/sub …

Distributionally robust linear quadratic control

B Taskesen, D Iancu, Ç Koçyiğit… - Advances in Neural …, 2024 - proceedings.neurips.cc
Abstract Linear-Quadratic-Gaussian (LQG) control is a fundamental control paradigm that is
studied in various fields such as engineering, computer science, economics, and …

Optimal guaranteed cost control and filtering for uncertain linear systems

IR Petersen, DC McFarlane - IEEE Transactions on Automatic …, 1994 - ieeexplore.ieee.org
The paper presents results on the design of robust state feedback controllers and steady-
state robust state estimators for a class of uncertain linear systems with norm bounded …

LMI‐based controller synthesis: a unified formulation and solution

I Masubuchi, A Ohara, N Suda - International Journal of Robust …, 1998 - Wiley Online Library
This paper proposes a unified approach to linear controller synthesis that employs various
LMI conditions to represent control specifications. We define a comprehensive class of LMIs …

Mixed H/sub 2//H/sub/spl infin//fuzzy output feedback control design for nonlinear dynamic systems: an LMI approach

BS Chen, CS Tseng, HJ Uang - IEEE Transactions on Fuzzy …, 2000 - ieeexplore.ieee.org
This study introduces a mixed H/sub 2//H/sub/spl infin//fuzzy output feedback control design
method for nonlinear systems with guaranteed control performance. First, the Takagi …

A Nash game approach to mixed H/sub 2//H/sub/spl infin//control

DJN Limebeer, BDO Anderson… - IEEE Transactions on …, 1994 - ieeexplore.ieee.org
The established theory of nonzero sum games is used to solve a mixed H/sub 2//H/sub/spl
infin//, control problem. Our idea is to use the two pay-off functions associated with a two …

[图书][B] The H control problem: a state space approach

AA Stoorvogel - 1990 - Citeseer
The H∞ norm as a measure has been thoroughly embedded in control theory during the last
few years. Although the H∞ norm has been used in control for a long time (a concept like …

Mixed/spl Hscr//sub 2/and/spl Hscr//sub/spl infin//performance objectives. II. Optimal control

J Doyle, K Zhou, K Glover… - IEEE Transactions on …, 1994 - ieeexplore.ieee.org
This paper considers the analysis and synthesis of control systems subject to two types of
disturbance signals: white signals and signals with bounded power. The resulting control …

Multiobjective H/sub 2//H/sub/spl infin//control

CW Scherer - IEEE Transactions on Automatic Control, 1995 - ieeexplore.ieee.org
For a linear time-invariant system with several disturbance inputs and controlled outputs, we
show how to minimize the nominal H/sub 2/-norm performance in one channel while …