MIMO Systems: Decentralized control

Advanced Modeling and Control

Multivariable process plants

Methods of controlling process plant

Decentralized Control vs. Centralized Control Systems

Issues in decentralized control system

Decentralized PID Control Design Methods

Decoupling controllers

Plantwide Control Hierarchy

Plantwide Control Design Flowchart

Plantwide Control Design Tasks

Operating Objectives

2x2 MIMO Process System

2x2 real process example – distillation column

Controller Pairings

Multi‐Loop Controllers (Decentralized Control)

Multi‐Loop Controllers – Distillation Column

Coupling Effect of Loop 2 on y1y_1y1​

Multi‐Loop Controllers – Distillation Column

Stead‐State Coupling – Relative Gain Array (RGA)

Relative Gain Array – Coupling Effect

RGA Calculation

Example of RGA calculation and pairings – 2x2 MIMO

Example of RGA calculation and pairing – 3x3 MIMO

RGA Analysis

Example of Impact of Different Dynamic Behaviors

Direct Pairing (Thin Line) and Reverse Pairing (Thick Line)

Dynamic RGA

Pairing Considerations

Sensitivity to Disturbances

Example ‐ Configuration Selection for a C3 Splitter

(L,V) Configuration Applied to the C3 Splitter

Reflux Ratio Applied to the Overhead of the C3 Splitter

Other Configurations

Configuration Selection of C3 splitter

Control Performance

Analysis of Configuration Selection Example

One‐Way Decoupler

Multi‐Loop (Decentralized) PID Controller Design

Detuning Method

Example 2x2 MIMO – Wood and Berry (WB) Column

Multi ‐loop PID Controllers for WB Column – Detuning Method

Detuning method example

Sequential Loop Closing

Multi‐loop PID Controllers for WB Column – Sequential Loop Closing Method

Sequential Loop Closing example

Sequential Loop Closing (SQL) example…

Independent Tuning Method

Multi ‐loop PID Controllers for WB Column – Independent Tuning Method

Independent Tuning Method example

Simultaneous Dimensionless Parameter (SDP) Tuning

SDP Tuning Example – WB Column

Decoupling Control: One‐Way Decoupling

Decoupler Design

Two‐Way Decoupling System

Examples of Decoupling Control

Simulation Example

Simulation Example

Simulation Example: 1‐way decoupler D12D_{12}D12​

Simulation Example: 1‐way decoupler D21D_{21}D21​

Simulation Example: 2‐way decoupling control (D12D_{12}D12​ and D21D_{21}D21​)

Summary

Advanced Modeling and Control

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MIMO Systems: Decentralized control Advanced Modeling and Control

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  • MIMO Systems: Decentralized control
  • Multivariable process plants
  • Methods of controlling process plant
  • Decentralized Control vs. Centralized Control Systems
  • Issues in decentralized control system
  • Decentralized PID Control Design Methods
  • Decoupling controllers
  • Plantwide Control Hierarchy
  • Plantwide Control Design Flowchart
  • Plantwide Control Design Tasks
  • Operating Objectives
  • 2x2 MIMO Process System
  • 2x2 real process example – distillation column
  • Controller Pairings
  • Multi‐Loop Controllers (Decentralized Control)
  • Multi‐Loop Controllers – Distillation Column
  • Coupling Effect of Loop 2 on y_1
  • Multi‐Loop Controllers – Distillation Column
  • Stead‐State Coupling – Relative Gain Array (RGA)
  • Relative Gain Array – Coupling Effect
  • RGA Calculation
  • Example of RGA calculation and pairings – 2x2 MIMO
  • Example of RGA calculation and pairing – 3x3 MIMO
  • RGA Analysis
  • Example of Impact of Different Dynamic Behaviors
  • Direct Pairing (Thin Line) and Reverse Pairing (Thick Line)
  • Dynamic RGA
  • Pairing Considerations
  • Sensitivity to Disturbances
  • Example ‐ Configuration Selection for a C3 Splitter
  • (L,V) Configuration Applied to the C3 Splitter
  • Reflux Ratio Applied to the Overhead of the C3 Splitter
  • Other Configurations
  • Configuration Selection of C3 splitter
  • Control Performance
  • Analysis of Configuration Selection Example
  • One‐Way Decoupler
  • Multi‐Loop (Decentralized) PID Controller Design
  • Detuning Method
  • Example 2x2 MIMO – Wood and Berry (WB) Column
  • Multi ‐loop PID Controllers for WB Column – Detuning Method
  • Detuning method example
  • Sequential Loop Closing
  • Multi‐loop PID Controllers for WB Column – Sequential Loop Closing Method
  • Sequential Loop Closing example
  • Sequential Loop Closing (SQL) example…
  • Independent Tuning Method
  • Multi ‐loop PID Controllers for WB Column – Independent Tuning Method
  • Independent Tuning Method example
  • Simultaneous Dimensionless Parameter (SDP) Tuning
  • SDP Tuning Example – WB Column
  • Decoupling Control: One‐Way Decoupling
  • Decoupler Design
  • Two‐Way Decoupling System
  • Examples of Decoupling Control
  • Simulation Example
  • Simulation Example
  • Simulation Example: 1‐way decoupler D_{12}
  • Simulation Example: 1‐way decoupler D_{21}
  • Simulation Example: 2‐way decoupling control (D_{12} and D_{21})
  • Summary
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