Optimal digital control of a laboratory-scale paper machine headbox

Brief Review and Mathematical Modelling of Air Cushioned Pressurized Paper Machine Headbox

“…A multivariable predictive control method has been designed and applied on simulated headbox in [29]. MIMO digital-linear-quadratic-regulator in [30], The fragility issues related to the controllers and the aspect of robustness that has been neglected in analytical treatments of control system design of paper machine headbox is discussed in [31], Shape optimization and optimal control techniques were developed for numerical control of paper machine headbox flows in [32]. A decoupling application has been proposed in [34] and a nonlinear geometric control has been implemented on headbox.…”

“…Based on the literature review discussed in section 3, the identified control techniques for paper machine headbox are listed below: a) Adaptive Control [2], [41], [59] b) Predictive Control [36], [47], [62], [78] c) Robust Control [14], [19], [21], [27], [69], [70], [71], [74] d) Optimal Control [28], [30], [33], [40], [44] e) Multivariable Non-linear Control [15], [35], [72], [77] f) Bilinear Control [11], [68] g) Intelligent Control [49], [58], [75], [76] h) Decoupling Control [12], [52], [54], [56], [63], [67] i) Digital Control [2], [4], [30] j) Internal Model Control [20], [24], [79] As listed above, there have been many control strategies developed for different types of paper machine headbox. However, the efficient control can be ensured only by perfect modeling of a dynamical system.…”

“…Many control methodologies have been developed for headbox control in past few decades. The major parameters required to be controlled in headbox are: Total pressure head, Stock level, Consistency, Jet velocity, and rush/drag [3], [10], [11], [15], [16], [19], [20], [27], [28], [30], [31], [52], [56], [61], [63], [64], [68], [69], [71], [74].…”

Stability analysis of paper machine headbox using a new PI(D) tuning technique

“…al. presented adaptive control methodology for paper machine in [2], while a computer-based design of controller and indeterministic state variable model have been proposed in [3] [5], bilinear control strategy in [6] and systematic decoupling control in [7], Nonlinear predictive control in [8], An Internal model control with reference model was proposed in [12], Robust control through loop-shaping design in [10], An object oriented control using modeling language OMOLA in [11], MIMO digital-linear-quadratic-regulator in [12], The fragility issues related to the controllers and the aspect of robustness that has been neglected in analytical treatments of control system design of paper machine headbox is discussed in [13], Shape optimization and optimal control techniques were developed for numerical control of paper machine headbox flows in [14], Design of CD control of paper machine through multivariable problem, Optimal minimum control effort for a Fourdrinier machine headbox in [16], Spatiallydistributed feedback control technique for CD control of paper machines in [17], A non-smooth bi-objective optimization technique for the design of the shape of a slice channel [18], Interactive multiobjective optimization method NIMBUS [19], Advanced control methods and decoupling algorithms [21], A neural network (NN) based decoupling control technique has been developed in [22], Artificial neural network (ANN) based retention control [23], Adaptive fuzzy controller [24], Various controllers and tuning methods have been. studied on paper machine headbox in [25].…”