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Multivariable Predictive Control

Applications in Industry

Sandip Kumar Lahiri















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To my parents, wife Jinia and two lovely children Suchetona and Srijon

Figure List

Figure 1.1Flow scheme of a simple distillation column using multivariable model predictive controller
Figure 1.2Hierarchy of plant‐wide control framework
Figure 1.3Expected cost vs. benefits for different levels of controls
Figure 1.4Typical benefit of MPC
Figure 1.5MPC stabilization effect can increase plant capacity closer to its maximum limit
Figure 1.6Reduced variability allows operation closer to constraints by shifting set point
Figure 1.7Operating zone limited by multiple constraints
Figure 1.8Opportunity loss due to operator action
Figure 1.9Advance control implementations by one of the major MPC vendors
Figure 1.10Spread of MPC application across the whole spectrum of chemical process industries
Figure 2.1Optimum operating point vs. operator comfort zone
Figure 2.2Different module of MPC
Figure 2.3A general MPC calculation
Figure 2.4Schematic of distillation column
Figure 2.5Model of distillation column
Figure 2.6CV prediction due to past MV change
Figure 2.7Model reconciliation and bias update
Figure 2.8Operating region of a distillation column with two manipulated variables and six controlled variables
Figure 2.9Revised CV trajectory and steady state error
Figure 2.10Develop a detail plan of MV movement to drive the steady state error to zero
Figure 2.11Controlled variables predictions with and without control moves
Figure 2.12Manipulated variables move plan for distillation column
Figure 3.1Brief history of development of MPC technology
Figure 4.1Different steps in MPC implementation project
Figure 4.2Schematics of steps involved in MPC project with vendor
Figure 5.1Benefit estimation procedure
Figure 5.2Stabilizing effect of MPC and moving of set point closer to limit
Figure 6.1Various probable reasons of failure of control loops
Figure 6.2Valve sizing problem detection by process gain
Figure 6.3Typical trends when valve stiction presents
Figure 6.4Typical trends of the process having hysteresis and backlash
Figure 7.1Different steps in functional design
Figure 8.1Expectation matrix (√ definite response expected, X no response expected, ? response is doubtful)
Figure 8.2Basic concept of step test
Figure 9.1Advantages and disadvantages of various model structures
Figure 9.2Flowchart of identification process
Figure 9.3System identification structure
Figure 10.1Types of soft sensors
Figure 10.2Steps involved in developing reliable soft sensors
Figure 10.3Artificial neural network architecture
Figure 10.4Schematic of SVR using an e‐insensitive loss function
Figure 11.1Different tuning parameters
Figure 11.2Hard and soft limits
Figure 12.1The schematic of interface of MPC controller and DCS
Figure 12.2Schematic of online commissioning of the controller
Figure 13.1Effect of move suppression (or MV weight) on CV and MV trajectory
Figure 13.2Effect of CV give up on CV trajectory and CV error
Figure 14.1Benefit loss over time
Figure 14.2Contributing failure factors of postimplementation of MPC applications
Figure 14.3Strategies for avoiding MPC failures
Figure 16.1Major linear MPC companies and their products
Figure 16.2Basic structure of MPC software
Figure 16.3Comparison of different MPC identification technology
Figure 16.4DMCplus product package
Figure 16.5MPC project outline: Conventional vs. adaptive approach
Figure 16.6Optimization in adaptive control mode
Figure 16.7RMPCT product package
Figure 16.8History of SMOC
Figure 16.9SMOC product package

Table List

Table 1.1Typical Payback Period of MPC
Table 1.2Typical Benefits of MPC Implementation in CPI
Table 1.3Typical Benefits of MPC implementation in Refinery
Table 2.1Description of CV, MV, and DV in a Simple Distillation Column Shown in Figure 2.4
Table 5.1Typical Value of Factor β
Table 5.2Average Value and Standard Deviation of Quality Parameters
Table 6.1Typical Performance of Control Loops in Industry
Table 6.2Ziegler‐Nichols Tuning Parameters
Table 6.3Recommended PID Tuning Parameters
Table 6.4IMC Tuning Parameters
Table 8.1Difference between Normal Step Testing and PRBS Testing
Table 11.1Simulation Initial Condition File for MVs
Table 11.2Simulation Initial Condition File for CVs
Table 11.3Controlled Variables with Their Limits for Simulation Studies
Table 11.4Controlled Variables with Their Limits for Simulation Studies
Table 14.1Retaining Initial MPC Benefits after 12 Months
Table 14.2Commercial MPC Monitoring Tools