ME365chap6_sysid

ME365chap6_sysid - KARTIK B. ARIYUR PURDUE UNIVERSITY...

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Unformatted text preview: KARTIK B. ARIYUR PURDUE UNIVERSITY System Identification Black Box Identification Input/Output Characteristics Time (Step) Response Method First Order System Second Order System Frequency Response Method First Order System Second Order System 1 System Identification KARTIK B. ARIYUR PURDUE UNIVERSITY Black Box Identification You were given a device to use in a temperature measurement task without any documentation and detailed information other than that it is a device for measuring temperature. How would you proceed? What is your next step? What information is essential in the successful operation of the measurement device? What are the experiments that will facilitate the gathering of the essential information? How do we derive the essential information from experimental data? Linear System Input Output x(t) y(t) Thermal Couple, Strain Gauge, Other Instrument Components,... 2 System Identification KARTIK B. ARIYUR PURDUE UNIVERSITY System Identification Using Input/Output data to obtain information about the dynamic characteristics of a device or a system of devices. System identification involves selecting an appropriate governing diff. eq. and finding corresponding coefficients. When the form of system model is known, system identification is analogous to dynamic calibration performed to obtain dynamic characteristics of a measurement device or a system of devices. Dynamic Characteristics: 1st Order Systems -- 2nd Order Systems -- Linear System Input Output x(t) y(t) 3 System Identification KARTIK B. ARIYUR PURDUE UNIVERSITY Time (Step) Response (1st Order System) 1st Order System (e.g. thermocouple) where t is the time constant and K is the static sensitivity . Step Response- The output of the system due to a step change in input. t dy dt y K x Given y ( t ) = y o at t = 0, Let x ( t ) = C for t 0 and x ( t ) = C o for t < 0 , then y t y y y e y y y e f o f t o f o t...
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ME365chap6_sysid - KARTIK B. ARIYUR PURDUE UNIVERSITY...

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