Page 467 - Design and Operation of Heat Exchangers and their Networks
P. 467

450   Design and operation of heat exchangers and their networks


               responses corresponding to different input disturbances can be given at
               the same time, while the traditional open-loop control can only com-
               pute the corrective action to one input variable. Therefore, this accu-
               rate model predictive feedforward control system can be used for
               multistream heat exchanger control, where the traditional open-loop
               control is difficult to be implemented.
          (2) As previously mentioned, the accurate model predictive control
               can choose the optimal control scheme from many choices under dif-
               ferent constraints, which is impossible by the traditional open-loop
               control.
             The implementation of distributed parameter model predictive feedfor-
          ward control is a reverse question of dynamic solution obtained. The con-
          troller should give the corrective instruction based on the response solution
          upon the changes of objective input parameters to adjust the inputs of assis-
          tant fluid, namely, the changes of inputs should be given based on the
          response solution, but the solution obtaining calculation is to find the output
          response based on the information of input changes; the former is much dif-
          ficult to be carried out. Thus, two steps are needed in the control execution:
          firstly, the solution obtaining calculation is implemented according to the
          change of objective input parameter, and then, the adjustment of auxiliary
          input is obtained by iterative calculations.
             The model predictive feedforward control is a big improvement to tra-
          ditional feedback control, but it still needs improvement. Because of the
          accuracy of the model adopted and the inertia of the system, it may not give
          the complete compensation when disturbances happened, and for no signal
          of output is feedback to the controller, the possible error cannot be adjusted.
          If the output error is feedback and the controller will act based on the inte-
          grated response, the system is a “true” model predictive control according to
          the control theory. The model predictive control system can be schemati-
          cally shown in Fig. 9.7, where the feedback is included, but it is different
          from traditional feedback and feedforward system in that it is not the output,
          but the error of output compensation is feedback. Since Richalet et al.
          (1978), the predictive control method was developed by many researches
          (Clarke et al., 1987a,b; Soeterboek, 1990; Richalet, 1993). Some applica-
          tions of model predictive control had been given for heat exchanger control
          (Hecker et al., 1997). Several books and thousands of papers about the model
          predictive control have been published. Intensive reviews of the develop-
          ments in model predictive control and their applications were given by
          Garriga and Soroush (2010), Tran et al. (2014), Vazquez et al. (2014),
   462   463   464   465   466   467   468   469   470   471   472