On the smoothing of traffic flows using ON-OFF control

This extended abstract reports our on-going work on how to control and ensure smoothness of traffic flows using the sliding mode control theory. The preliminary results suggest that our approach is highly promising, and more results are expected in the near future. † 1 General Increase-Decrease Flow Control Model A key issue in control of packet flows is the increasedecrease (I-D) control system model, A network system can be described by , (1)  u t x g t x f x ) , ( ) , ( + = where t is the time variable, f and g is a smooth function. x stands for the state variable of the network dynamics, and u the control input. Eq. (1) defines a very general case. y is a function of x, , R , R ∈ ∈ u x n ) , ( t x h y = . (2)  The I-D controllers have three states, increase, decrease and maintaining. shows the general I-D control system model. The overall I-D control rule is defined by: Figure 1 Figure 1: Network system with a general I-D controller. , (3) 