Quantitative synthesis for a 3×3 distillation column toachieve performance robustness

摘要

In this paper, quantitative synthesis of a multivariabletwo-matrix-degree-of-freedom feedback system for a 3×3distillation column with sidestreams example having significant plantparameter uncertainty, is performed. The synthesis procedure is that ofmulti-input multi-output (MIMO) quantitative feedback theory (QFT). Fromthe given MIMO problem, equivalent single-loop problems are derivedwhose solution guarantees the solution of the original problem. Usingthe basic single-input single-output (SISO) QFT procedure, thesingle-loop problems are then solved to satisfy the frequency domainspecifications on the tracking and disturbance-rejection properties. Thedesign is verified in both frequency and time domains for 81 plantspicked randomly from the set of uncertain plants. The results show thatthe performance specifications are successfully achieved for the rangeof parameter uncertainty considered