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In terms of relative normalized gain array (RNGA) criterion, this paper presents an interaction analysis and loop pairing method for multi-input-multi-output (MIMO) processes described by Type-2 Takagi-Sugeno (T-S) fuzzy models. Type-2 fuzzy system offers a significant improvement on traditional (Type-1) fuzzy systems to handle the uncertainties. For each individual loop in the MIMO process, the steady-state...
In this paper, a direct synthesis approach is proposed to design ETF based multivariable decoupling controllers. This new scheme is different from two existing ETF based decoupling schemes which involves the following steps: (1) by uniquely determine the ETFs for every transfer function element, the inverse matrix of transfer function matrix is approximated; (2) selecting the desired closed-loop system...
Limitations are revealed for the existing methods to derive relative gain array (RGA) for a MIMO process containing integrators and/or differentiators. This paper proposes a new method to overcome these limitations. The method can handle processes described by either transfer functions or state-space models. The effectiveness and simplicity of the proposed method are illustrated with examples where...
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