Multiloop PI/PID controller design based on Gershgorin bands

D. Chen; D.E. Seborg

Multiloop PI/PID controller design based on Gershgorin bands

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Multiloop PI/PID controller design based on Gershgorin bands

Author(s): D. Chen and D.E. Seborg
DOI: 10.1049/ip-cta:20020092

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Author(s): D. Chen ¹ and D.E. Seborg ¹
- Affiliations: 1: Department of Chemical Engineering, University of California, Santa Barbara, USA
Source: Volume 149, Issue 1, January 2002, p. 68 – 73
DOI: 10.1049/ip-cta:20020092 , Print ISSN 1350-2379, Online ISSN 1359-7035

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A new definition of the ultimate point is proposed for diagonally dominant, MIMO systems. Analytical formulas are developed for the new ultimate gains and ultimate frequencies based on the system frequency response and Gershgorin bands. Decentralised PI and PID controllers with set-point weighting factors can be tuned by using a modified version of the Ziegler–Nichols (ZN) relations. The proposed design method is simple and easy to implement. Three simulation examples compare the performance of the proposed multiloop design method with alternative techniques.

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Multiloop PI/PID controller design based on Gershgorin bands

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