ITS Berkeley

This work describes a type of distributed feedback control algorithm that acts on a vertical queueing network where flow dynamics may greatly outpace the rate of feedback and actuation. The modeled network has a known, finite set of feasible actuations for the binary controllers located at each network node. It also has known expected demands, split ratios, and maximum service rates. Previous work proposed the application of a max pressure controller to maximize throughput on such a network without the need for centralized computation of a control policy. Here we extend the max pressure...

This paper presents a new approach which links the solution to the Burgers tracking problem to the concept of capture basin used in viability theory. This link enables the proof of the existence and uniqueness of the solution of the Burgers tracking problem. The Burgers tracking problem is linked to the Frankowska solutions of the Burgers equation. These results are easily extended to any first order hyperbolic partial differential equation (PDE) written in conservation law form, which is illustrated with the famous Lighthit-Whitham-Richards (LWR) PDE, known in highway traffic theory. The...

This paper presents a new approach which links the solution to a particular Hamilton-Jacobi partial differential equation to the solution of an optimal control problem provided by viability theory. It constructs the solution to this partial differential equation through its hypograph, which is defined as the capture basin of a target under an auxiliary dynamics that we define. The target itself represents the hypograph of a desired function. It is applied to concave Hamiltonian functions and has implications for the control of conservation laws with concave flux functions. It is a building...

A new Eulerian model of airspace is derived and applied to high altitude traffic for a full air traffic control center of the National Airspace System. The Eulerian model is reduced to a linear time invariant dynamical system, in which the state is a vector of aggregate aircraft counts. The model is validated against ASDI data and applied to the Oakland airspace. The problem of controlling sector aircraft count is posed as an integer program, in which the dynamical system appears in the constraints. To improve the computational time of calculating the solution, the integer program is...