A separation property of the observer-based stabilizing controller for linear delay systems
type: Item
instance of: scholarly article
title: A separation property of the observer-based stabilizing controller for linear delay systems
zbMATH Open document ID: 1487.34145
DOI: 10.1134/S0037446621040182
author: N. E. Zubov
published in: Siberian Mathematical Journal
publication date: 2021-09-27T00:00:00Z
review text: In this paper, authors study a stability criterion and an optimization method for stabilization of the delay systems. Then they describe a design procedure for a state observer and finally they derive a separation property for the observer-based controller of the delay systems. Using a separation property one can design the state feedback gain K by Algorithm 2 and the observer gain L by Algorithm 3 independently of one another. So this is an extension of the separation property for linear systems. This paper is the extension of the work done in the article [\textit{U. A. Bakshi} and \textit{M. V. Bakshi}, ``Modern control theory'', Tech. Pubs. Pune, Pune, India (2008)]. In my opinion, the authors should have highlighted the linear infinite delay system too. A number of practical systems are followed by an infinite delay. Also, what are the consequences if we consider the same theory for nonlinear delay systems? These questions are equally important for further study.
Mathematics Subject Classification ID: 34K35
Mathematics Subject Classification ID: 34K06
Mathematics Subject Classification ID: 93C10
Mathematics Subject Classification ID: 93C43
Mathematics Subject Classification ID: 93B53
Mathematics Subject Classification ID: 34K20
zbMATH DE Number: 7401172
zbMATH Keywords: linear delay systems
zbMATH Keywords: stabilization
zbMATH Keywords: observer-based controller
zbMATH Keywords: separation property
reviewed by: Dimplekumar N. Chalishajar
MaRDI profile type: Publication
cites work: A Theory of Volatility Spreads
cites work: Introduction to functional differential equations
cites work: Systems with Delays
cites work: Q4229393
cites work: Stability, Control, and Computation for Time-Delay Systems
cites work: A numerical method to minimize resource consumption by linear systems with constant delay
cites work: Stabilization of linear autonomous systems of differential equations with distributed delay
cites work: Introduction to time-delay systems. Analysis and control
cites work: Strong stabilization of neutral functional differential equations
cites work: Stabilization of neutral functional differential equations
cites work: The linear-quadratic optimal control approach to feedback control design for systems with delay
cites work: On exponential stability of solutions to one class of systems of differential equations of neutral type
cites work: Delay-dependent stability of Runge-Kutta methods for linear neutral systems with multiple delays
cites work: Stability analysis and observer design for neutral delay systems
cites work: Synthesis of observers for asymptotically observable time delay systems
cites work: Finite observer design for linear systems of neutral type
cites work: Finite spectrum assignment and observer for multivariable systems with commensurate delays
cites work: Nonlinear Programming
cites work: Nonlinear systems.
full work available at URL: s0037446621040182
OpenAlex ID: W3197335902
description: scientific article; zbMATH DE number 7401172