An Approach for Fractional Commensurate Order Youla Parametrization Using q-weighted Operator

The Youla-Kucera parametrization is a strategy widely used for robust control design and system identification of integer systems, but with the increasing interest in fractional order controllers, a new window for research and development is widely open. In this work this parametrization is extended to fractional commensurate order systems using the q-weighted operator; originally developed for the field of theoretical physics, is pro posed as a tool for developing robust fractional order controllers, the proposal is evaluated in two simulated processes and implemented in the TCLAB process.