GMRES: a generalized minimal residual algorithm for solving nonsymmetric linear systems
SIAM Journal on Scientific and Statistical Computing
Numerical continuation methods: an introduction
Numerical continuation methods: an introduction
Real-time optimization algorithm for nonlinear receding-horizon control
Automatica (Journal of IFAC)
Journal of Robotic Systems
Robotic Formation Control using Variable Structure Systems Approach
DIS '06 Proceedings of the IEEE Workshop on Distributed Intelligent Systems: Collective Intelligence and Its Applications
Journal of Intelligent and Robotic Systems
Unmanned helicopter flight controller design by use of model predictive control
WSEAS TRANSACTIONS on SYSTEMS
Flight control of helicopter groups using nonlinear model predictive control
CA '07 Proceedings of the Ninth IASTED International Conference on Control and Applications
Chain based path formation in swarms of robots
ANTS'06 Proceedings of the 5th international conference on Ant Colony Optimization and Swarm Intelligence
A continuation/GMRES method for fast computation of nonlinear receding horizon control
Automatica (Journal of IFAC)
Piecewise constant model predictive control for autonomous helicopters
Robotics and Autonomous Systems
Waypoint tracking of unmanned aerial vehicles using robust H2 / H? controller
International Journal of Systems, Control and Communications
Fault-Tolerant Formation Driving Mechanism Designed for Heterogeneous MAVs-UGVs Groups
Journal of Intelligent and Robotic Systems
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Two geometrical formation schemes that allow the definition of any desired three-dimensional formation mesh for a group of helicopters are presented. Each formation scheme, which defines the leader-follower geometry of the formation mesh, has four parameters. These formation parameters are directly used as the output of decentralized controllers that independently control each helicopter in the group. The decentralized controllers are designed using a non-iterative Nonlinear Model Predictive Control (NMPC) method. The Continuation method is used for solving, in real-time, for future control actions that minimize a NMPC cost function. It is shown by analyzing the number of floating point operations per calculation cycle that the calculation load of the NMPC method for this application is quite manageable for today's industrial embedded computers. Simulations show that the formation schemes along with the NMPC controller can initialize and keep the formation of a group of helicopters even in the presence of bounded parameter uncertainty and environmental disturbance.