Reference
S. Lin and B. De Schutter, "Controller design for stabilizing bilinear systems
with state-based switching,"
Nonlinear Analysis: Hybrid
Systems, vol. 41, p. 101009, Aug. 2021.
Abstract
Some nonlinear systems can be approximated by switching bilinear systems. In
this paper, we proposed a method to design state-based stabilizing controller
for switching bilinear systems. Based on the similarity between switching
bilinear systems and switching linear systems, corresponding switching linear
systems are obtained for switching bilinear systems by applying state-based
feedback control laws. Instead, we consider asymptotically stabilizing the
corresponding switching linear system through solving a number of relaxed LMI
conditions. Stabilizing controllers for switching bilinear systems can be
derived based on the results of the corresponding switching linear systems. The
stability of the controller is proved step by step through the decreasing of
the multiple Lyapunov functions along the state trajectory. The effectiveness
of the method is demonstrated by both a theoretical example and an example of
urban traffic network with traffic signals.
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BibTeX
@article{Lin:21-006,
author = {Lin, Shu and De Schutter, Bart},
title = {Controller Design for Stabilizing Bilinear Systems with
State-Based Switching},
journal = {Nonlinear Analysis: Hybrid Systems},
volume = {41},
pages = {101009},
month = aug,
year = {2021}
}