Appendix 8

Let *x*(*t*) be a real-valued signal derived from the behavior of a system in time. For a vehicle–driver system, *x*(*t*) could be the steering angle or the vertical position of the vehicle body. The energy, related to *x*(*t*), is proportional to *x*(*t*)^{2}. For the vehicle body, the square of the vertical position is proportional to the energy stored in the suspension, due to road disturbances. For a driver, the square of the steering angle corresponds to the energy that is being delivered by the driver to steer the vehicle. The corresponding average power *P*(*x*;*T*) over a time interval with length *T* can be expressed as the summation of the supplied energy per unit of time:

$P(x;T)=\frac{1}{T}{\int}_{0}^{T}x{(t)}^{2}\cdot \mathrm{d}t$ (A8.1)

(A8.1)

For the example ...

Start Free Trial

No credit card required