All controllers for the general \({\mathcal H}_ \infty\) control problem: LMI existence conditions and state space formulas
type: Item
instance of: scholarly article
title: All controllers for the general \({\mathcal H}_ \infty\) control problem: LMI existence conditions and state space formulas
zbMATH Open document ID: 0806.93017
DOI: 10.1016/0005-1098(94)90110-4
published in: Automatica
publication date: 1994-09-15T00:00:00Z
Mathematics Subject Classification ID: 93B36
Mathematics Subject Classification ID: 93B50
Mathematics Subject Classification ID: 93B25
Mathematics Subject Classification ID: 93B51
zbMATH DE Number: 639240
zbMATH Keywords: general \({\mathcal H}_ \infty\) control problem
zbMATH Keywords: matrix inequalities
zbMATH Keywords: \(Q\)- parametrization
author: Tetsuya Iwasaki
author: Robert E. Skelton
MaRDI profile type: Publication
full work available at URL: 0005-1098(94)90110-4
OpenAlex ID: W2077088183
cites work: LQG control with an H/sup infinity / performance bound: a Riccati equation approach
cites work: Q4003797
cites work: State-space solutions to standard H/sub 2/ and H/sub infinity / control problems
cites work: On a Convex Parameter Space Method for Linear Control Design of Uncertain Systems
cites work: State-space formulae for all stabilizing controllers that satisfy an \(H_{\infty}\)-norm bound and relations to risk sensitivity
cites work: Covariance control theory
cites work: TheXY-centring algorithm for the dual LMI problem: a new approach to fixed-order control design
cites work: H/sub infinity /-optimal control with state-feedback
cites work: Robust stabilization of uncertain linear systems: quadratic stabilizability and H/sup infinity / control theory
cites work: Mixed H/sub 2//H/sub infinity / control: a convex optimization approach
cites work: \(\mathcal H_ \infty\) guaranteed cost control for uncertain continuous-time linear systems
cites work: Disturbance attenuation and&lt;tex&gt;H^{∞}&lt;/tex&gt;optimization: A design method based on the algebraic Riccati equation
cites work: A Riccati equation approach to the stabilization of uncertain linear systems
cites work: $H^\infty $ Control of Linear Time-Varying Systems: A State-Space Approach
cites work: The generalized \(H_ 2\) control problem
cites work: An algebraic approach to \(H_{\infty}\) output feedback control problems
cites work: $H_\infty $-Control by State-Feedback for Plants with Zeros on the Imaginary Axis
cites work: $H_\infty $-Optimization without Assumptions on Finite or Infinite Zeros
cites work: Liapunov and covariance controllers
cites work: The Singular $H_\infty $ Control Problem with Dynamic Measurement Feedback
cites work: The Quadratic Matrix Inequality in Singular $H_\infty $ Control with State Feedback
cites work: An algebraic Riccati equation approach to \(H^{\infty}\) optimization
description: scientific article; zbMATH DE number 639240