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 L2-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.