Avtomat. i Telemekh., 2019, Issue 5, Pages 66–85
Estimation of the attraction domain for an affine system with constrained vector control closed by the linearizing feedback
A. V. Pesterev
Institute of Control Sciences, Russian Academy of Sciences, Moscow, Russia
Nonlinear affine systems with constrained vector control that are represented in a canonical (normal) form and are closed by feedbacks linearizing the system in a neighborhood of the origin, are considered. For the nonlinear closed-loop system, the problem is set to construct an estimate of the attraction domain of an equilibrium position. A method for constructing an estimate of the attraction domain, which is based on results of absolute stability theory, is suggested. The estimate is sought as a Cartesian product of positive invariant sets of the subsystems composing the system. In the case of ellipsoidal invariant sets, construction of the estimate reduces to solving a system of linear matrix inequalities. The discussion is illustrated by numerical examples.
nonlinear affine systems with constrained control, attraction domain, absolute stability theory, linear matrix inequalities (LMIs).
PDF file (1043 kB)
First page: PDF file
Automation and Remote Control, 2019, 80:5, 840–855
Presented by the member of Editorial Board: A. P. Krishchenko
A. V. Pesterev, “Estimation of the attraction domain for an affine system with constrained vector control closed by the linearizing feedback”, Avtomat. i Telemekh., 2019, no. 5, 66–85; Autom. Remote Control, 80:5 (2019), 840–855
Citation in format AMSBIB
\paper Estimation of the attraction domain for an affine system with constrained vector control closed by the linearizing feedback
\jour Avtomat. i Telemekh.
\jour Autom. Remote Control
Citing articles on Google Scholar:
Related articles on Google Scholar:
|Number of views:|