Reference
M. Hajiahmadi, B. De Schutter, and H. Hellendoorn, "Robust H
∞
control of a class of switched nonlinear systems with application to
macroscopic urban traffic control,"
Proceedings of the 53rd
IEEE Conference on Decision and Control, Los Angeles, California, pp.
1727-1732, Dec. 2014.
Abstract
This paper presents stability analysis and robust H
∞ control
for nonlinear switched systems bounded in sectors with arbitrary boundaries. By
proposing new and more general multiple Lyapunov functions that incorporate
nonlinearities in the system, we formulate the stability conditions under
arbitrary switching in the form of linear matrix inequalities. Moreover, an
optimization problem subject to bilinear matrix inequalities is established in
order to determine the minimum L
2-gain along with the optimal
matrices for the Lyapunov functions and for the robust state feedback gains.
Finally, the optimization problem is recast as a bi-level convex optimization
problem using loop transformation and other linear matrix inequalities
techniques. Furthermore, in order to illustrate the performance of the proposed
switching control scheme, results for control of an urban network partitioned
into sub-regions and modeled using a high-level hybrid model are presented.
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BibTeX
@inproceedings{HajDeS:14-023,
author = {Hajiahmadi, Mohammad and De Schutter, Bart and Hellendoorn,
Hans},
title = {Robust ${H}_{\infty}$ Control of a Class of Switched Nonlinear
Systems with Application to Macroscopic Urban Traffic Control},
booktitle = {Proceedings of the 53rd IEEE Conference on Decision and
Control},
address = {Los Angeles, California},
pages = {1727--1732},
month = dec,
year = {2014}
}