Reference
M. Hajiahmadi, B. De Schutter, and H. Hellendoorn, "Design of stabilizing
switching laws for mixed switched affine systems,"
IEEE
Transactions on Automatic Control, vol. 61, no. 6, pp. 1676-1681, June
2016.
Abstract
This paper presents stability analysis and stabilization for a general class of
switched systems characterized by nonlinear functions. The proposed approach is
composed of approximating the switched nonlinear system with a switched affine
system that has a mixture of controlled and autonomous switching behavior.
Utilizing a joint polyhedral partitioning approach, a stabilizing switching law
based on quadratic Lyapunov functions and with considering the autonomous
switching between polyhedral regions is proposed. To ensure the decrease of the
overall Lyapunov function, two approaches are proposed, 1) guarantee continuity
of the Lyapunov function over boundaries of polyhedral regions, 2) relax the
continuity requirement by using additional matrix inequalities. The second
approach is less conservative but with more variables and matrix inequalities
than in the first method. With fixing one scalar variable, the stabilization
conditions will have the form of linear matrix inequalities (LMIs). Further,
the sufficient conditions for stabilizing the original switched nonlinear
system using the proposed switching schemes are presented. Finally, through two
examples, the performance of the proposed stabilization methods is
demonstrated.
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BibTeX
@article{HajDeS:15-010,
author = {Hajiahmadi, Mohammad and De Schutter, Bart and Hellendoorn,
Hans},
title = {Design of Stabilizing Switching Laws for Mixed Switched Affine
Systems},
journal = {IEEE Transactions on Automatic Control},
volume = {61},
number = {6},
pages = {1676--1681},
month = jun,
year = {2016}
}