Reference
M. Hajiahmadi, B. De Schutter, and H. Hellendoorn, "Robust H
∞
switching control techniques for switched nonlinear systems with application to
urban traffic control,"
International Journal of Robust and
Nonlinear Control, vol. 26, pp. 1286-1306, Apr. 2016.
Abstract
This paper presents robust switching control strategies for switched nonlinear
systems with constraints on the control inputs. A quantization technique is
used to relax the constraint on continuous control inputs and the
L
2-gain analysis and H
∞ control design problem for
switched nonlinear systems are presented. Next, as an alternative method, the
switched nonlinear system is approximated by a switched affine system that has
autonomous and controlled switching behavior. A robust switching control law is
proposed to stabilize the switched affine system. The design procedure involves
solving an optimization problem that is nonconvex in a single scalar variable
only. Furthermore, we provide the sufficient conditions under which the
proposed switching law is able to stabilize the original switched nonlinear
system. Finally, the proposed methods are utilized for control of urban traffic
networks modeled on a high level. The traffic control objective is translated
into a stability and disturbance attenuation problem for the urban network
represented by a switched nonlinear system. The switching control approaches
are able to reduce congestion in the network and to attenuate the effects of
uncertain trip demands. Since the design of the switching laws is performed
offline, real-time traffic control is possible with the proposed methods.
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BibTeX
@article{HajDeS:15-047,
author = {Hajiahmadi, Mohammad and De Schutter, Bart and Hellendoorn,
Hans},
title = {Robust ${H}_{\infty}$ Switching Control Techniques for Switched
Nonlinear Systems with Application to Urban Traffic Control},
journal = {International Journal of Robust and Nonlinear Control},
volume = {26},
pages = {1286--1306},
month = apr,
year = {2016}
}