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Additional info for Control Engineering Solutions: A Practical Approach
10 V, 6 = 0... 10 V, c = 0... 10V,d=0or-a The system operates in real time and repetition mode. The variables of interest are represented by the X-Y recorder and the oscilloscope, respectively. Time scaling by a factor of 1000 permits a 'permanent' representation by oscilloscope in the repetition mode. 5 Suggested experiments and problems The experiments include: — — — — — connecting the transfer elements according to the desired block diagram; measuring transient functions of controlled variables and manipulating variables in different control structures; investigation of the influence of system parameters on transient and stability behaviour; tuning controller parameters; discussion of the results.
The first conclusion that may be drawn is the rather iterative character of the estimation process. ) beforehand, which must be tested and adjusted. A high degree of precision in modelling the process can be reached at the cost of increased model complexity. Thus, a tradeoff must be established based on the final aim of the identified model. ), the model structure and even the estimating algorithm employed must be adapted on-line. Therefore, a supervisory 20 Control engineering solutions: a practical approach level is often required for the correct functioning of the overall system (this is especially required when using estimators in a framework of adaptive control).
The controller need not be known. Within direct process identification, two main alternatives can also be considered if the process input and output are measured for identification: (1) no external disturbance is applied; (2) an external disturbance (measurable or not) is applied. In the first case a set of identifiability conditions must be met to ensure convergence. For the second, if the additional external disturbance added to the process input is sufficiently exciting and uncorrelated with the process noise e, Process model identification 19 only the orders of the process must be known, and no additional identifiability conditions are required.