Resilient control of uncertain dynamical systems.
type: Item
instance of: scholarly article
title: Resilient control of uncertain dynamical systems.
zbMATH Open document ID: 1103.93003
author: Magdi S. Mahmoud
published in: Lecture Notes in Control and Information Sciences
publication date: 2004-11-25T00:00:00Z
review text: The monograph consisting of seven chapters, appendix, references, and index deals with the design of non-fragile control and filtering for uncertain delayed dynamic systems. The fragility problem means that a robust controller can be very sensitive to even small changes in the controller coefficients. Chapter 1 introduces the fragility problem. Chapter 2 presents the state-space design of resilient dynamic output controllers for continuous-time (abbr. CT) uncertain state-delayed systems including guaranteed cost control and \(H_{\infty}\) approaches. Both norm-bounded and convex polytopic system uncertainties are included. Additive and multiplicative gain uncertainties are considered. Necessary and sufficient conditions for the robust quadratic stability of closed-loop CT systems are given. Chapter 3 is focused on the resilient controllers with both types of gain variations for discrete-time (abbr. DT) systems with norm-bounded uncertainties. Necessary and sufficient conditions for the robust quadratic stability of closed-loop DT systems are given. The stabilization schemes are based on guaranteed cost control and \(H_{\infty}\) approaches. Chapter 4 addresses the problem of resilient adaptive control for uncertain CT and DT state-delayed systems. Adaptive control schemes include both known and unknown gain perturbation bounds. Chapter 5 deals with robust non-fragile filtering for uncertain CT systems with norm-bounded uncertainties for both types of filter gain perturbations. A resilient \(\mathbf{L}_2-\mathbf{L}_{\infty}\) filter for uncertain state-delayed with polytopic uncertainties is presented. Resilient filter synthesis is developed for both delay-independent and delay-dependent cases. Chapter 6 is focused on delay-dependent methodologies for CT and DT systems. A descriptor approach to simultaneous \(H_2/H_{\infty}\) controller design is developed for CT systems with polytopic uncertainties and both types of gain perturbations. Feedback stabilization is pres…
Mathematics Subject Classification ID: 93-02
Mathematics Subject Classification ID: 93B35
Mathematics Subject Classification ID: 93B36
Mathematics Subject Classification ID: 93B40
Mathematics Subject Classification ID: 93B50
Mathematics Subject Classification ID: 93C05
Mathematics Subject Classification ID: 93C10
Mathematics Subject Classification ID: 93C40
Mathematics Subject Classification ID: 93C73
Mathematics Subject Classification ID: 93D21
zbMATH DE Number: 2118883
zbMATH Keywords: resilient control
zbMATH Keywords: fragility
zbMATH Keywords: uncertain dynamic systems
zbMATH Keywords: time-delayed systems
zbMATH Keywords: continuous-time systems
zbMATH Keywords: discrete-time systems
zbMATH Keywords: linear matrix inequalities
zbMATH Keywords: filtering
zbMATH Keywords: adaptive control
zbMATH Keywords: robust control
reviewed by: Lubomír Bakule
MaRDI profile type: Publication
full work available at URL: b95075
OpenAlex ID: W608577434
DOI: 10.1007/B95075
description: scientific article; zbMATH DE number 2118883