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integralx2
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I have a 2nd order system response on a graph. How would I go about this to develop the equation that models this system in s- domain when its graphed in time domain like I have ?
integralx2 said:I have a 2nd order system response on a graph. How would I go about this to develop the equation that models this system in s- domain when its graphed in time domain like I have ?
The order of a system response refers to the highest power of the differential equation that describes the response. To determine the order, count the number of energy-storing elements (such as capacitors and inductors) in the system.
A 2nd order system response is a response that can be described by a second-order differential equation. This means that the response depends on two energy-storing elements in the system.
The steps to obtain the equation for a 2nd order system response are as follows: 1) Determine the order of the system response, 2) Write the general form of a second-order differential equation, 3) Substitute the values of the system parameters into the equation, 4) Solve for the response variable (usually denoted as y or x).
Yes, the equation for a 2nd order system response can be obtained using experimental data. This can be done by collecting data on the input and output of the system, and then using mathematical techniques (such as curve fitting) to determine the parameters of the differential equation that best fit the data.
Yes, there are some common assumptions made when obtaining the equation for a 2nd order system response. These include assuming linearity of the system, time-invariance, and constant parameters. However, these assumptions may vary depending on the specific system being studied and the accuracy needed for the response equation.