Dynamic matrix control of multivariable system with multiple deadtimes
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"The Dynamic Matrix Control (DMC) algorithm is a control technique 1973. As that has been used by Shell Oil Company since its name may imply, DMC algorithm is the technique of representing process dynamics with a set of numerical coefficients arranged in matrices. The numerical approach makes it possible to solve complex control problems using digital computer control which can not solved with traditional PID control concepts. By incorporation of both feedforward and feedback designs, the DMC algorithm can deal successfully with unusual dynamic behaviors and constrainted problems. An introduction of DMC with a simple example is given in this paper. Further, the capability of DMC is demonstrated in the control of a multivariable multidelay system. Systems are difficult to control when dead times exist especially with long dead time. Many chemical engineering processes exhibit apparent dead time and can be adequately represented by multivariable transfer functions with dead times. For multivariable system having only one time delay, useful feedback control designs are available. But when multiple dead times exist in multivariable system the alternates of control algorithm are limited. For example, the optimal feedback control and inverse Nyquist technique have been shown to work well but need rather extensive computation efforts in the presence of dead times. For simpler designed control, a multidelay compensator was developed by Ogunnaike and Ray (1979). The compensator had been shown to work well. The performance of DMC in the control of multivariable multidelay system are compared with the results of the deadtimes compensator for the same system reported by Ogunnaike and Ray (1979). The computer simulations show that the DMC controller works very well. Even for the system with mutiple deadtimes, DMC can work as well or better than the deadtimes compensator."--Introduction.
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