Abstract
The problem of estimating the domain of attraction of an equilibrium of a nonlinear dynamical system has been extensively studied for several decades (see, e.g,[16,17,25,32,40,50,55,58,75,81,84,104,105] and the references therein). In Section 4.2, we presented a simple method for determining the domain of attraction for a second order linear system under a saturated linear feedback. For general higher order systems, exact description of the domain of attraction seems impossible. Our objective in this chapter is to obtain an estimate of the domain of attraction, with the least conservatism, for general linear systems under saturated linear feedback. Our presentation draws on materials from our recent work [40]
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2001 Springer Science+Business Media New York
About this chapter
Cite this chapter
Hu, T., Lin, Z. (2001). Estimation of the Domain of Attraction under Saturated Linear Feedback. In: Control Systems with Actuator Saturation. Control Engineering. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-0205-9_7
Download citation
DOI: https://doi.org/10.1007/978-1-4612-0205-9_7
Publisher Name: Birkhäuser, Boston, MA
Print ISBN: 978-1-4612-6661-7
Online ISBN: 978-1-4612-0205-9
eBook Packages: Springer Book Archive