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Proposing Institution

Lehrstuhl für Numerische Mathematik / Steuerungstheorie , TUM
Project Manager

Dr. Nikolai Botkin
Boltzmannstr. 3
85748 Garching
The objective of this project is the development of robust optimal control techniques and numerical methods for aircraft control in the presence of windshear. These optimal controls are obtained from solving high dimensional Hamilton-Jacobi-Equations arising from conflict control problems by means of stable grid methods. The implementation of our project will essentially extend the set of tools for the design of control procedures in aircraft control engineering because our methods are directly applicable to nonlinear aircraft models, whereas conventional control design methods are mainly based on the construction of transfer functions for linearized approximations.Using the full power of the Super-MUC system and sparse representations of grid functions, we expect to treat realistic aircraft models involving more than six state variables. This allows us to solve actual engineering problems related to flight operating safety.These optimal and quasi-optimal aircraft control laws guaranteeing successful withstanding of complicated flight situations are intended to be designed and incorporated in an existing flight simulator. It is expected to obtain better treatment of complex flight situations by taking into account the influence of severe disturbances for the construction of feedback control laws. Especially for landing and take-off procedures the robustification of the flight control laws are expected to result in a significant improvement regarding the stability and safety of the aircraft operation.Moreover, such solutions allow us to design extreme wind disturbances that can be used in flight simulators for testing autopilots and training pilots in extreme situations.It should be stressed that the result obtained during implementation of the project can also be used in other engineering applications such as the development of acoustic-based biosensors, cryopreservation of living tissues, models of cerebral blood circulation and cerebral autoregulation and other areas.

Impressum, Conny Wendler