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A continuous analysis of multi-input, multi-output predictive control.

G C Kember1, T K Kang, S E Mansour

  • 1Department of Engineering Mathematics, Dalhousie University, PO Box 1000, Halifax, NS, Canada B3J 2X4. kembermusic@eastlink.ca

ISA Transactions
|May 23, 2007
PubMed
Summary
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Simplified Predictive Control (SPC) matches Dynamic Matrix Control (DMC) performance in multi-input, multi-output systems. SPC offers better conditioning, making it ideal for remote applications with variable timing.

Area of Science:

  • Chemical Engineering
  • Control Systems Engineering

Background:

  • Predictive control strategies are crucial for optimizing complex industrial processes.
  • Multi-input, multi-output (MIMO) systems present unique challenges in control design and analysis.

Purpose of the Study:

  • To develop a continuous formulation and analysis method for MIMO predictive control.
  • To compare the performance and characteristics of Dynamic Matrix Control (DMC) and Simplified Predictive Control (SPC).

Main Methods:

  • Derivation of approximate characteristic equations for DMC and SPC.
  • Analysis of closed-loop control behavior for long time horizons relative to sampling time.
  • Application to a two-coupled-zone first-order linear process and a binary distillation column.

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Main Results:

  • Analytical comparison of DMC and SPC reveals comparable performance for a wide range of processes.
  • Simplified Predictive Control (SPC) demonstrates superior conditioning across its parameter range compared to DMC.
  • SPC's well-conditioned behavior is advantageous for remote applications with uncertain future move timing.

Conclusions:

  • Simplified Predictive Control (SPC) provides a robust and effective alternative to Dynamic Matrix Control (DMC) for MIMO applications.
  • The study offers an analytical basis for understanding SPC's practical effectiveness.
  • SPC's inherent stability and robustness make it suitable for challenging control scenarios.