By Andrew P. Featherstone BS, MS, PhD, Jeremy G. VanAntwerp BS, MS, PhD, Richard D. Braatz BS, MS, PhD (auth.)
Sheet and picture techniques contain coating, papermaking, steel rolling, and polymer movie extrusion. items produced via those approaches contain paper, bumper stickers, plastic luggage, windshield protection glass, and sheet steel. the complete capitalization of industries that depend on those procedures is definitely over $ 500 billion around the globe. those procedures are infamous for being tough to control.
The objective of this ebook is to give the theoretical historical past and functional recommendations for the identity and keep watch over of sheet and movie techniques. it truly is defined why many current commercial keep an eye on platforms practice poorly for sheet and picture procedures. identity and keep an eye on algorithms are defined and illustrated which offer constant and trustworthy product caliber. those algorithms contain an experimental layout strategy that guarantees that informative information are accrued in the course of input-output experimentation, version identity options that produce a approach version and an estimate of its accuracy, and keep watch over thoughts that consider actuator constraints in addition to robustness to version uncertainties.
The algorithms coated during this booklet are really the cutting-edge. diversifications on a number of the algorithms were carried out on commercial sheet and picture approaches. different algorithms are in a variety of phases of implementation. the entire algorithms were utilized to lifelike simulation versions constituted of business plant facts; a lot of those reports are integrated during this book.
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Extra info for Identification and Control of Sheet and Film Processes
Sample text
The disadvantage of using simplified model structures is that they may not accurately describe the profile responses for all the actuators across the machine. u poorly conditioned process y Fig. 7. 8). As mentioned above, the interactions matrices for sheet and film processes are usually poorly conditioned, that is, the condition number of the interactions matrix is large. The poorly conditioned character of sheet and film processes limits the ability to identify highly accurate models, which limits the achievable closed-loop performance.
The pseudo-SVD model structure simplifies when the interactions matrix is symmetric (PeD = P8D)' The symmetric model structure allows downstream responses to actuator moves to be different near the edges, and hence is more general than the Toeplitz symmetric model structure. 13) where the A( s) can be considered as a generalization of the eigenvalue matrix, just as E(s) is a generalization of a singular value matrix. The pseudo-SVD model structure simplifies further when the transfer function matrix is circulant symmetric, in which case it can be diagonalized by the real Fourier matrix R (see [133] for details): P(s) = p(s)p~,m = p(s)RART = RA(s)R-l.
When the output of the linear controller cannot satisfy the constraints on the actuator movements, the directionality compensator scales back the linear control output while keeping the same direction until the control action becomes feasible. For some industrial-scale adhesive coaters at the Avery-Dennison Company, directionality compensation performed nearly as well as model predictive control [46]. However, this is not expected to hold for general sheet and film processes. 2 Observer-based Compensation Observer-based antiwindup compensation is described in some detail in a popular controls textbook [11].