Stabilizability and disturbance rejection with state-derivative feedback
type: Item
instance of: scholarly article
title: Stabilizability and disturbance rejection with state-derivative feedback
zbMATH Open document ID: 1222.93188
DOI: 10.1155/2010/123751
author: Manoel R. Moreira
author: Edson I. Mainardi Júnior
author: Talita T. Esteves
author: M. C. M. Teixeira
author: Rodrigo Cardim
author: E. Assunção
author: Flávio A. Faria
published in: Mathematical Problems in Engineering
publication date: 2011-02-09T00:00:00Z
review text: Summary: In some practical problems, for instance in the control of mechanical systems using accelerometers as sensors, it is easier to obtain the state-derivative signals than the state signals. This paper shows that (i) linear time-invariant plants given by the state-space model matrices \(\{A,B,C,D\}\) with output equal to the state-derivative vector are not observable and can not be stabilizable by using an output feedback if \(\det(A)=0\) and (ii) the rejection of a constant disturbance added to the input of the aforementioned plants, considering \(\det(A)\neq 0\), and a static output feedback controller is not possible. The proposed results can be useful in the analysis and design of control systems with state-derivative feedback.
Mathematics Subject Classification ID: 93D15
Mathematics Subject Classification ID: 93C15
Mathematics Subject Classification ID: 93C05
zbMATH DE Number: 5849020
zbMATH Keywords: state-derivative feedback
zbMATH Keywords: state-space model
Wikidata QID: Q58652907
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2010/123751
OpenAlex ID: W2111414960
cites work: Q4003780
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: Q5389847
cites work: Q5389848
cites work: Robust state-derivative pole placement LMI-based designs for linear systems
cites work: Robust vibration control of dynamical systems based on the derivative of the state
cites work: Robust state-derivative feedback LMI-based designs for multivariable linear systems
cites work: Robust state-derivative feedback LMI-based designs for linear descriptor systems
cites work: Stabilizability and Stability Robustness of State Derivative Feedback Controllers
description: scientific article; zbMATH DE number 5849020