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A third order system is approximated to an equivalent second order system. The rise time of this approximated lower order system will be:(a) Same as the original system for any input(b) Smaller than the original system for any input(c) Larger than the original system for any input(d) Larger or smaller depending on the inputI had been asked this question during an online exam.The question is from Time Domain Analysis topic in portion Stability in Frequency Domain of Control Systems

Answer»

Right CHOICE is (B) SMALLER than the ORIGINAL system for any input

To explain: As order of the system increases the system approaches more towards the ideal characteristics and if the third order system is approximated to an equivalent second order system then the rise time of this will be smaller than the original system for any input.



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