Das, Aveek K.
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Publication Ad Hoc Networks for Localization and Control(2002-12-10) Das, Aveek K.; Kumar, R. Vijay; Taylor, Camillo J; Spletzer, John RWe consider a team of mobile robots equipped with sensors and wireless network cards and the task of navigating to a desired location in a formation. We develop a set of algorithms for (a) discovery; (b) cooperative localization; and (c) cooperative control. Discovery involves the use of sensory information to organize the robots into a mobile network allowing each robot to establish its neighbors and, when necessary, one or more leaders. Cooperative control is the task of achieving a desired goal position and orientation and desired formation shape and maintaining it. Cooperative localization allows each robot to estimate its relative position and orientation with respect to its neighbors and hence the formation shape. We show numerical results and simulations for a team of nonholonomic, wheeled robots with omnidirectional cameras sharing a wireless communication network.Publication Hybrid Control of Formations of Robots(2001-05-21) Das, Aveek K.; Kumar, R. Vijay; Fierro, Rafael; Ostrowski, James P.We describe a framework for controlling a group of nonholonomic mobile robots equipped with range sensors. The vehicles are required to follow a prescribed trajectory while maintaining a desired formation. By using the leader-following approach, we formulate the formation control problem as a hybrid (mode switching) control system. We then develop a decision module that allows the robots to automatically switch between continuous-state control laws to achieve a desired formation shape. The stability properties of the closed-loop hybrid system are studied using Lyapunov theory. We do not use explicit communication between robots; instead we integrate optimal estimation techniques with nonlinear controllers. Simulation and experimental results verify the validity of our approach.