Robust decentralized static output feedback
type: Item
instance of: scholarly article
title: Robust decentralized static output feedback
zbMATH Open document ID: 0677.93052
DOI: 10.1016/0167-6911(89)90039-X
author: Dennis S. Bernstein
author: Wassim M. Haddad
published in: Systems \& Control Letters
publication date: 1989-01-01T00:00:00Z
review text: Linear control systems with uncertainty in the plant dynamics and plant disturbances represented by additive white noise are considered. Decentralized static output feedback controllers are to be determined such that the closed loop system is asymptotically stable for all plant parameter variations and in addition the worst case value of a quadratic criterion is minimized. Sufficient conditions for robust stability are derived by introducing a modified Lyapunov equation. The worst case performance can be bounded in terms of the solution of this modified Lyapunov equation. A pair of coupled modified Riccati equations are derived as design equations for static output controllers. The design steps are listed in form of an algorithm.
Mathematics Subject Classification ID: 93D15
Mathematics Subject Classification ID: 93B35
Mathematics Subject Classification ID: 93B50
Mathematics Subject Classification ID: 93E03
Mathematics Subject Classification ID: 93C05
zbMATH DE Number: 4110591
zbMATH Keywords: performance bounds
zbMATH Keywords: white noise
zbMATH Keywords: Decentralized static output feedback controllers
zbMATH Keywords: asymptotically stable
zbMATH Keywords: robust stability
zbMATH Keywords: Lyapunov equation
zbMATH Keywords: modified Riccati equations
MaRDI profile type: Publication
cites work: Robust static and dynamic output-feedback stabilization: Deterministic and stochastic perspectives
cites work: Robust Stability and Performance Analysis for State-Space Systems via Quadratic Lyapunov Bounds
cites work: Kronecker products and matrix calculus in system theory
cites work: Adaptive guaranteed cost control of systems with uncertain parameters
cites work: The optimal projection equations for fixed-order dynamic compensation
cites work: A homotopy approach to the feedback stabilization of linear systems
cites work: Robust-controller design for systems with large parameter variations
cites work: Geometric state-space theory in linear multivariable control: A status report
description: scientific article; zbMATH DE number 4110591