The stability of a motorcycle and rider is an important area for study because many motorcycle designs result in vehicles that are difficult to control [12, 13]. The handling characteristics of a motorcycle must include a model of the rider as well as one of the vehicle. The dynamics of one motorcycle and rider can be represented by a loop transfer function (Figure P6.4)

(a) As an approximation, calculate the acceptable range of K for a stable system when the numerator polynomial (zeros) and the denominator polynomial (s2 + 60s + 3400) are neglected.
(b) Calculate the actual range of acceptable K, account for all zeros and poles.
Figure P6.4
Non unity feedback system.

Transcribed Image Text:

K (s2 30s 1125) s(s 20) (s210s 125)(s 60s 3400) L(s)- Controller Process Y(s) Sensor H(s)