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International Journal of Scientific and Engineering Research
ISSN Online 2229-5518
ISSN Print: 2229-5518 3    
Website: http://www.ijser.org
scirp IJSER >> Volume 3,Issue 3,March 2012
Determination of Control Pairing for Higher Order Multivariable Systems by the use of Multi-Ratios
Full Text(PDF, )  PP.269-273  
.Decentralized control, Multivariable .Ssystems, Niederlinski Index Relative Gain Array;; Zeta ratio
The relative gain array (RGA) and the Niederlinski index (NI) are normally used in tandem to determine the control configuration for multivariable systems. For two-input, two-output systems, the RGA and the NI can be characterized by a single ratio, zeta (?) which is the ratio of the product of the off- diagonal terms to that of the diagonal terms of the steady state gain matrix. This paper extends the concept of the zeta ratio, developed for 2x2 systems to higher order systems, and subsequently uses it in place of the RGA to determine suitable control configurations for higher order multivariable systems. Several examples used to demonstrate the effectiveness of the proposed method for higher order systems show that it is computationally simpler and easier to understand and apply by control practitioners. 
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