Abstract
For n-by-n multivariable processes, multiloop controllers have n degrees of freedom and hence the n diagonal elements of closed-loop transfer functions can be designed to have desired closed-loop responses. Multiloop controllers having desired closed-loop responses can be considered as an extension of the single-input single-output internal model control and they can be used as reference controllers. However, computations of such multiloop controllers have not been well developed. The Newton-Raphson method and the iterative sequential loop closing method can be used, but they can suffer from a divergence problem for some processes. Here, the continuation method is applied to obtain multiloop control systems with desired closed-loop responses for a robust computation. The multiloop controllers with desired closed-loop responses can be used to obtain dynamic interaction measures and design multiloop PID controllers.
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Ji, B.C., Lee, E.M., Han, Y.A. et al. Computation of multiloop controllers having desired closed-loop responses. Korean J. Chem. Eng. 24, 562–566 (2007). https://doi.org/10.1007/s11814-007-0003-0
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DOI: https://doi.org/10.1007/s11814-007-0003-0