Abstract
This paper first proposes a model of traffic signal control systems for avoiding traffic congestion in urban road networks. The model is controllable and observable, and therefore, modern control techniques such as LQ and H∞ control are applicable. In addition, disturbances and stochastic changes of traffic situations are taken into account in the model. As a result, the proposed model is described as a system with multiplicative noise which is a kind of stochastic system. Next, a state-feedback control method based on linear matrix inequalities is applied to this system, and is shown to be effective in a numerical example.