By Enso Ikonen
Complex technique identity & regulate КНИГИ ;НАУКА и УЧЕБА Автор: Kaddour NajimНазвание: complicated procedure id & ControlИздательство: CRC PressГод: 2001Страниц: 632Формат: PDFISBN-10: 082470648XЯзык: АнглийскийРазмер: 11.64 MBPresents the latest recommendations in complex strategy modeling, identity, prediction, and parameter estimation for the implementation and research of commercial platforms. obtain replicate zero 1 2 three four five
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Additional info for Advanced Process Identification & Control
Anamountof tracer is fed into the process as quickly as possible (impulse input). The output is then measured and interpreted as the process impulse response. For linear systems, the residence time is directly calculated from the impulse response or from the parameters of their transfer function . A linear system can be defined by its continuous-time impulse response g(t). 5) ~’~0 where y(t) and u(t) represent respectively the output and the input. The residence time  is given by: Tr¢ s ~=0 (36) f g(t)dt In continuous flow system, the residence time can be interpreted as the expected time it takes for a molecule to pass trough the flow system.
Whichis singular for all s E ~. 50) The determinant of A1 is equal to 1. Thus, the determinant provides no information on the closeness of singularity of a matrix. Recall that the determinant of a matrix is equal to the product of its eigenvalues. Wemight therefore think that the eigenvalues contain moreinformation. The eigenvalues of the matrix A1 are both equal to 1, and thus the eigenvalues give no additional information. The singular values (the positive square roots of the eigenvalues of the matrix ATA)of a matrix represent a good quantitative measureof the near singularity of a matrix.
Example 9 (02 dynamics) From an FBC plant ~ (see Appendix B), ][Nm fuel feed Qc [~] and flue gas oxygencontent CFt~--’~ 1 were measuredwith a sampling interval of 4 seconds. 2. 59) The data (dots) and a simulation with the estimated model (solid lines) illustrated in Fig. 2. 4 Properties Nex~we will be concerned with the properties of the least squares estimator 0. Owingto the fact that the measurementsare disturbed, the vector parameter estimation ~ is random. An estimator is said to be unbiased if the mathematical expectation of the parameter estimation is equal to the true parameters O.