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Verwertbare Ergebnisse
The, purpose of this project is to open up a new area in linear-quadratic optimization theory by combining ideas and methods that have been developed over the years in the cooperating research groups. Some of the pioneering work in this area has been developed by members of the research consortium, insuring feasibility of the project.
In the research of linear discrete-time control system affected by an additive sinusoidal disturbance, we have shown that the natural solution from the point of optimal control is neither robust with respect to errors in the frequencies, and thus not optimal ill practice, nor independent of the unknown amplitudes and phases.
We have presented a complete characterization of all regulators which (i) stabilize a linear system with additive harmonic disturbances with known frequencies but unknown amplitudes and phases, (ii) minimize all infinite-horizon quadratic cost function and (iii)are universal in the sense that the regulators do not depend on the unknown amplitudes and phases and are optimal for all choices of these. These optimal universal regulators are linear but we show that, they are optimal in a wide class of nonlinear regulators. Finally, we show that these regulators are also optimal universal regulators ( in a natural sense) for a corresponding stochastic problem.
Our research of active control systems has led to the so called Individual Blade Control(IBC) method . In an IBC framework the control input is the pitch angle of each blade or the main rotor, while one typically consider as output the acceleration measurements taken at various locations on each blade, or the measurements of the vibratory loads each blade transmits to the rotor hub.
In our research of the behavioral approach, particular problems that were treated were:
The development of the theory of quadratic differential forms, H&inf; problems and The theory of dissipative systems and various properties of the storage function in this framework
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