Performance bound of parallel cascade control system based on minimum variance and generalized minimum variance benchmarking

The procedure is reviewed based on minimum variance (MV) and Diophantine decomposition for the parallel cascade control system. A novel method is derived based on the previous methods in this paper. The optimal controllers can be obtained directly by using the decomposition technique of Diophantine equations other than the closed loop operating data. Besides, the theoretical performance bound can be computed simultaneously. The generalized minimum variance (GMV) benchmarking for parallel cascade control system is also put forward. The results of the proposed methods are demonstrated through a simulation example and compared with the previous results.