Robust Switching Control Systems with Input Delay
This paper uses the
concept of multiple models and the concept of switching controllers. The analog
part of the system is described by a finite set of continuous-time models with
input delays. The continuous-time models include unmodeled dynamics in the form
of affine matrix family. By using suitable transformation, the models with
input delay are converted into delay free models. Then, by using the LMI tool,
the class of robust LQ controllers with the prescribed degree of stability is
proposed and for every controller the upper bound for the performance index is
given. The switching logic is based on the selection of minimal upper bound
from the collection of upper bounds. Finally, it is shown by means of
performance dominant conditions, that the resulting closed-loop is stable.
Robust Switching Control Systems with Input Delay.
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Robust Switching Control Systems with Input Delay.
Autori:
Vojislav
Filipovic
[1]
[1]
University of Kragujevac
Rezumat
This paper uses the
concept of multiple models and the concept of switching controllers. The analog
part of the system is described by a finite set of continuous-time models with
input delays. The continuous-time models include unmodeled dynamics in the form
of affine matrix family. By using suitable transformation, the models with
input delay are converted into delay free models. Then, by using the LMI tool,
the class of robust LQ controllers with the prescribed degree of stability is
proposed and for every controller the upper bound for the performance index is
given. The switching logic is based on the selection of minimal upper bound
from the collection of upper bounds. Finally, it is shown by means of
performance dominant conditions, that the resulting closed-loop is stable.
Cuvinte cheie:
Multiple models, Input delay, LMI inequalities, Switching rule, Stability
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