Robust control of a two-state Greitzer compressor model by state-feedback linearization

摘要

In this paper we introduce an anti surge controller for a close-coupled valve (CCV) in a compression system. The controller is based upon feedback linearization in combination with linear state feedback. The mentioned CCV modifies the characteristics of the compressor, allowing it to be stably operated beyond the original surge line. It is shown that the original model consisting of the compressor in combination with the CCV can be transformed into the Byrnes-Isidori-Normalform, a necessity in order to enable feedback linearization. Furthermore, robustness of the controller is illustrated by circle criterion analysis with a sector nonlinearity feedback. Simulation examples illustrate the theoretical robustness investigation also for the case when the control signal is bounded and noise is added to the state derivatives and to the output.