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A simple method of tuning parallel cascade controllers for unstable FOPTD systems
Manickam Chidambaram
Published in ISA - Instrumentation, Systems, and Automation Society
2016
Volume: 65
   
Pages: 475 - 486
Abstract
A simple method is proposed to design parallel cascade controllers for open loop unstable processes. A proportional (P)controller is considered for the secondary loop and a proportional integral (PI) controller is considered for the primary loop (P/PI control configuration). Coefficients of the corresponding powers of s (Laplace variable), in the numerator is matched with the coefficients of the corresponding powers of s in the denominator of a closed loop transfer function for a servo problem. Three simulation case studies are considered in this paper. The first case involves a stable secondary loop process and an unstable primary process, the second case involves both unstable primary and secondary processes and the third one, a simulation application to a nonlinear bioreactor model equations. For comparison purposes, P/PI controller design is also carried out by improved simultaneous relay autotuning method, synthesis method and minimizing ISE criterion method. It is found that the proposed method gives a better performance. Robust stability analysis using the complimentary sensitivity function is carried out. The present method is found to be more robust. © 2016
About the journal
JournalISA Transactions
PublisherISA - Instrumentation, Systems, and Automation Society
ISSN00190578
Open AccessNo
Concepts (13)
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    Cascade control systems
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    Nonlinear equations
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    Robustness (control systems)
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    Two term control systems
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    Cascade control
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    CLOSED LOOP TRANSFER FUNCTION
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    FOPTD
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    OPEN LOOP UNSTABLE PROCESS
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    Pi controller
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    Proportional integral controllers
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    Robust stability analysis
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    Unstable system
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    Controllers