Less conservative control design for linear systems with polytopic uncertainties via state-derivative feedback
type: Item
instance of: scholarly article
title: Less conservative control design for linear systems with polytopic uncertainties via state-derivative feedback
zbMATH Open document ID: 1264.93070
DOI: 10.1155/2012/315049
author: Emerson R. P. da Silva
author: E. Assunção
author: M. C. M. Teixeira
author: Luiz Francisco S. Buzachero
published in: Mathematical Problems in Engineering
publication date: 2013-06-11T00:00:00Z
review text: Summary: The motivation for the use of state-derivative feedback instead of conventional state feedback is due to its easy implementation in some mechanical applications, for example, in vibration control of mechanical systems, where accelerometers have been used to measure the system state. Using linear matrix inequalities (LMIs) and a parameter-dependent Lyapunov functions (PDLF) allowed by Finsler's lemma, a less conservative approach to the controller design via state-derivative feedback, is proposed in this work, with and without decay rate restriction, for continuous-time linear systems subject to polytopic uncertainties. Finally, numerical examples illustrate the efficiency of the proposed method.
Mathematics Subject Classification ID: 93B51
zbMATH DE Number: 6173181
Wikidata QID: Q58911422
describes a project that uses: LMI toolbox
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/315049
OpenAlex ID: W2073306437
cites work: A geometric theory for derivative feedback
cites work: Acceleration-based vibration control of distributed parameter systems using the ``reciprocal state-space framework''
cites work: Robust vibration control of dynamical systems based on the derivative of the state
cites work: Stabilizability and disturbance rejection with state-derivative feedback
cites work: Stabilizability and Stability Robustness of State Derivative Feedback Controllers
cites work: Q5389847
cites work: Q5389848
cites work: Linear Matrix Inequalities in System and Control Theory
cites work: Robust state-derivative pole placement LMI-based designs for linear systems
cites work: Robust state-derivative feedback LMI-based designs for linear descriptor systems
cites work: Robust state-derivative feedback LMI-based designs for multivariable linear systems
cites work: LMI conditions for robust stability analysis based on polynomially parameter-dependent Lyapunov functions
cites work: Q2758360
cites work: A class of robust stability conditions where linear parameter dependence of the Lyapunov function is a necessary condition for arbitrary parameter dependence
cites work: A new LMI condition for robust stability of discrete-time uncertain systems
cites work: Analysis and Synthesis of Robust Control Systems Using Linear Parameter Dependent Lyapunov Functions
cites work: Parameter-dependent Lyapunov functions for state-derivative feedback control in polytopic linear systems
cites work: Extended LMI characterizations for stability and performance of linear systems
cites work: A systematic approach to improve multiple Lyapunov function stability and stabilization conditions for fuzzy systems
description: scientific article; zbMATH DE number 6173181