Saturated control of linear systems
type: Item
instance of: scholarly article
title: Saturated control of linear systems
zbMATH Open document ID: 1475.93003
DOI: 10.1007/978-3-319-65990-9
author: A. Benzaouia
author: F. Mesquine
author: M. Benhayoun
published in: Studies in Systems, Decision and Control
publication date: 2018-01-31T00:00:00Z
review text: As the title suggests the book is focused on the investigation of systems under the action of saturated feedback controls. The control constraints are ensured, for example, by the rescaling/truncation of the magnitudes obtained by an unconstrained feedback control (e.g., see Sections~1.2 and~1.7) Several works in the literature address the case where the control is given in the form of linear state feedback, that is, a linear function of the state. An example is the classical Riccati based feedback associated with classical linear quadratic optimal control problems, where the energy of the controlled system is minimized, and where the control inputs can take arbitrary large values (magnitudes). In real world applications, we cannot expect that such arbitrary magnitudes can be provided by the actuators. For example, the heat provided by a radiator and the acceleration provided by an engine are bounded. Having this in mind, in practice we cannot realize the control given by a linear state feedback if the state is large, but we can still realize the control obtained by rescaling or truncating such control so that the constraints on the bounds for the magnitudes are satisfied. This gives us an idea of saturated feedback controls. The book addresses both discrete-time and continuous-time finite-dimensional systems. The possible presence of uncertainties is a point we should take into account in applications. Indeed, a given system is a mathematical model for a real world process, giving us an approximation of the dynamics of such process. Thus, the difference from the model to the (not fully known) real process can be seen as a model uncertainty or disturbance. Such uncertainties/disturbances are also addressed in the book, for example, see Sections~2.2 and~3.3. In applications we may be not able to measure the entire state of the system. But we may be able to measure part (some components) of the state through suitable sensors. The output of the measurements obtained by…
reviewed by: Sérgio S. Rodrigues
Mathematics Subject Classification ID: 93-02
Mathematics Subject Classification ID: 93C05
Mathematics Subject Classification ID: 93D15
Mathematics Subject Classification ID: 93C15
Mathematics Subject Classification ID: 93C55
Mathematics Subject Classification ID: 93B53
zbMATH DE Number: 6833094
zbMATH Keywords: saturated control
zbMATH Keywords: linear systems
zbMATH Keywords: continuous- and discrete-time systems
zbMATH Keywords: stabilization
zbMATH Keywords: pole assignment
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1007/978-3-319-65990-9
OpenAlex ID: W2757714304
description: scientific article; zbMATH DE number 6833094