Abstract
This paper considers an optimal vibration control of flexible building structures with viscoelastic dampers precisely represented by fractional differential systems. The proposed control system design method consists of three parts. Firstly, it is solved that the optimal regulator problem for the linear dynamical system with fractional differential terms to model viscoelastic dampers. Secondly, an observer for the fractional differential systems is developed to estimate the state variables of this system. These methods have been developed by the authors. Lastly, gain-scheduling control system is developed by arranging the several optimal control solutions for various parameters of viscoelastic dampers, wchich highly depend on the temperature of an environment.
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