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03 Estimation of System Order

03 Estimation of System Order - 1.4 ESTIMATION OF SYSTEM...

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1.4 ESTIMATION OF SYSTEM ORDER Qn: n = ??? and m = ??? Ans 1 : If you can model the plant in detail (starting with components, etc), then you know the order of the plant from its physical or dynamical property. Ans 2: If you have no clue on the system dynamics, then you may have to conduct experiments to observe & record the behavioral response of the system and carry out estimation of system parameters to look for a set of pole-zero combination that best fit the response. In many cases, you can only measure or record the inputs & outputs (u(k) and y(k)) of the systems. From these, you may evaluate the “fitness” by “trial and success” method shown below. Start with 1-pole model G10(z) { (2) (1) 1 (2) (3) (2) (2) 1 (3) () ( 1 ) ( 1 )1 yy u a u b yN uN N η −∆   =+  −− θ YM η MM M 14243 1444424444 31 42 43 [ ] 1 10 ˆ '' ˆ ˆ ˆˆ [] ' J = = = θ MM MY θ Y-Y 1-pole 1-zero model G11(z) { (2) (2) 1 (2) (3) (2) (3) (2) 1 (3) 1 ) () ( 1 u u a u u

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03 Estimation of System Order - 1.4 ESTIMATION OF SYSTEM...

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