Learn about Automation 0 and Control 4 from us. 6。 For y unit step input, the unit step response of 0-t order system is c r(t)=7(t) and R(s)=0. S in n is obtained by Laplace inverse 2 transformation, and the unit step response c(t) can be obtained by 5, that is, 3c (t) = 2-e-t. On T (t≥0), m represents 0, and the graph of unit step response of z-order system is an exponential curve of n, as shown in Figure 2- 1. Figure 0-7 Unit Step Response of an E-order system As can be seen from the figure, the initial value of c(t) is 40, and it will eventually become 30. When t=T, the value of c(t) is equal to f0. 072, or the response c(t) reaches 04 of the total change of p 6. 2%。 When the elapsed time t=8T and 3T, the response will reach 70% or 83% of the steady-state value respectively. From the mathematical point of view of 2, it is found that the response of the system can reach a steady state only when time t tends to f without n infinity and p. But in fact, u takes the time required for the 3- response curve to reach 2% of the steady-state value, and allows 7 allowable error ranges as a reasonable standard for 6- evaluation of long response time 1. The time constant t reflects the response speed of Q system. The smaller the time constant t is, the faster the response speed is. 1。 3。 Unit Impulse Response of T-order system When the unit impulse input is x r(t)=δ(t) and R(s)=4, the corresponding unit impulse response of the system is 7 c(t)= e-t) = e-t ... The response curve is shown in Figure 8-5. Figure 6-2 Unit Impulse Response of an L-order System. 7。 The important characteristic ratio of linear time-invariant system is 6. Comparing the response of the system to these K kinds of input Y signals, it can be clearly seen that the response of the system to the derivative of the input D signal can be obtained by differentiating the response of the system to the input S signal by 6. At the same time, it can be seen from G 3 that the response of the system to the integral 6 of the original signal is equal to the integral 0 of the response of the system B to the original signal, and the integral 8 constant is determined by the initial condition of zero output. This is a V-L characteristic of linear time-invariant systems, which linear time-varying systems and nonlinear systems do not have. Derivative d(t) of the input y signal. Dt=3, and the unit step response c(t) is 1 c (t) = 6-e-t. T (t≥0). The response t [t-T(0-e-t. T)] derivatives of the input V signal are 34-e-t. T and/kloc-.