May 26, 2019   9:13 a.m. Dušan
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Algebraic Methods in Nonlinear Control systems and their Application to Autorotation Problem.

Supervisor: prof. Ing. Mikuláš Huba, PhD.

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Project description:The aim of the project is research in nonlinear control systems by means of algebraic methods and their application to control problems, mainly to the autorotation problem. The main goal is to construct appropriate algebraic setting, which would enable to generalize the concept of transfer functions, known from linear systems, also to nonlinear. The scope of our interest are both continuous and discrete-time nonlinear systems. From that point of view skew polynomials, which we think of as linear differential or difference operators over the vector fields of one-froms, play a key role. Quotients of such polynomials should represent a formalism we are interested in. Obtained theoretical results will be applied to chosen nonlinear control problems, mainly to the autorotation problem. Autorotation is an abnormal operating mode of a helicopter, when the engine and the rotor are disconnected (for instance, when the engine fails or is deliberately disengaged). The rotor is then allowed to spin independently. It is interesting that a helicopter, in such a critical mode, is still able to land safely and gently. This is possible due to the aerodynamic force of the air through which a helicopter is descending. This remains the rotor spinning.
Kind of project:APVV ()
Department:Institute of Robotics and Cybernetics (FEEIT)
Project identification:LPP-0127-06
Project status:Successfully completed
Project start date :01. 11. 2006
Project close date:30. 11. 2009
Number of workers in the project:1
Number of official workers in the project:0