Continuation Method for the Modified Ziegler−Nichols Tuning of Multiloop Control Systems

Jietae Lee, Thomas F. Edgar · Industrial & Engineering Chemistry Research · 2005

Multiloop control systems are often used for industrial multivariable processes because of their simplicity. To design multiloop control systems, single-input single-output (SISO) methods that guarantee specified closed-loop characteristics can be applied. Because the design equations are nonlinear due to loop interactions and may cause computational difficulties, a continuation method is proposed to obtain the solutions. By choosing the interaction level as a continuation parameter, we can design multiloop control systems without worrying about numerical difficulties such as divergence. To illustrate the approach, the modified Ziegler−Nichols method is applied to design multiloop control systems.

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