Urban roads populated with a host of heterogeneous traffic exhibit very complex driving behavior, and liberal lateral movements result in a haphazard non-lane-following scenario. Optimizing the green time and the cycle time of signalized intersections on such roads turns out to be a highly challenging task. In this paper, we present a novel graph-theoretic approach to optimize the delay at signalized intersections under connected vehicle environment. We first present a graph-theoretic approach to design an optimal phase plan for the intersection. Then, we propose signal control algorithms to optimize the green time and the cycle time of the signalized intersection. We implemented the proposed algorithms in MATLAB and conducted a detailed simulation study in theVISSIM traffic simulator to evaluate the effectiveness of the proposed algorithms.Wepresent the simulation results and the analysis to demonstrate that the proposed algorithms significantly reduce the delay and queue length compared with vehicle actuated control and queue-based proportional policy at the intersection.

The paper presents the design and development of a Linear Quadratic Gaussian (LQG) controller for a longitudinal dynamics of a high maneuvering missile. The Linear Quadratic Regulator (LQR) in association with Linear Quadratic Estimator (LQE) is realized through extensive numerical simulations to address theplant dynamics associated with measurement noise and inaccurate plant model. The LQR gives the minimum cost function to the proposed optimal solution for a missile control design application. The LQR and LQE design has been tested for its robustness subjecting it to parametric variation of disturbances and plant uncertainties. The study brings out the efficacy of the LQG controller over traditional methods in missile control system design.