Abstract
Relative normalized gain array (RNGA) loop pairing criterion for complex multivariable systems subject to a class of reference inputs is investigated. The existing RNGA technique is suitable for ideal process model with step reference input, this paper extends it to complex multivariable models under step, ramp and other general types of set-point changes. The unified framework for loop pairing technique is presented, and the average residence time is systematically calculated in terms of practical complexity process model, such as processes containing integrators or differentiators, unstable processes, non-square processes, and so on. The analysis results show RNGA based control-loop configuration is independent of input signals, and available to complex multivariable systems for various reference inputs. Several examples are employed to demonstrate the effectiveness and universality of the pairing approach of this paper.
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