Abstract
The stability of multivariable linear time invariant control systems designed using sequential MIMO quantitative feedback theory (QFT) is examined. The class of systems considered have structured plant transfer function matrices (TFM) that are square and invertible and controllers TFM that are diagonal. By formulating the sequential design in both the direct plant domain and inverse plant domain a common set of design equations are developed. Necessary and sufficient conditions for robust closed-loop internal stability are derived that demonstrate the closed-loop system is stable if the final loop is stable. The results unify the sequential design approaches for stability and the design equations improve the transparency of sequential MIMO QFT.
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