Calculating 2nd Order System Parameters in MATLAB

In summary, a 2nd order system in Matlab is a dynamic system that can be represented by a second order differential equation. To solve it, you can use the "ode45" function or the "dsolve" function. The inputs are initial conditions, system parameters, and external input, while the outputs are the time response of the state variables. To plot the step response, you can use the "step" or "lsim" function, and for systems with complex poles, you can use the "impulse" function.
  • #1
lukus09
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What are the commands to i find the peak time, seetling time, rise time and maximum overshoot of a second order system in matlab?
 
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  • #2
lukus09 said:
What are the commands to i find the peak time, seetling time, rise time and maximum overshoot of a second order system in matlab?

Please take a read through this document, and the one I mentioned previously at Wikibooks:
http://www.me.cmu.edu/ctms/modeling/tutorial/transferfunction/mainframes.htm
 
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  • #3


I would like to first commend the use of MATLAB for calculating second order system parameters. This software is widely used and trusted in the scientific community for its accuracy and efficiency.

To find the peak time, settling time, rise time, and maximum overshoot of a second order system in MATLAB, the following commands can be used:

1. To find the peak time, the "peak2peak" command can be used. This command calculates the difference between the maximum and minimum values of a signal, which in this case, would be the peak time.

2. To find the settling time, the "stepinfo" command can be used. This command calculates various system parameters, including the settling time, based on a step response plot of the system.

3. To find the rise time, the "stepinfo" command can also be used. The rise time is the time taken by the system to reach a specified percentage of its final value, usually 90%. This information is also provided by the "stepinfo" command.

4. To find the maximum overshoot, the "stepinfo" command can be used again. The maximum overshoot is the maximum percentage by which the system exceeds its steady-state value. This is also provided by the "stepinfo" command.

In addition to these commands, there are also various functions and tools in MATLAB that can be used to analyze and plot the response of a second order system, such as the "step" and "impulse" functions, and the "bode" and "nyquist" plots.

Overall, with the use of these commands and tools, MATLAB makes it easy and efficient to calculate and analyze second order system parameters, providing valuable insights for scientific research and engineering applications.
 

1. What is a 2nd order system in Matlab?

A 2nd order system in Matlab refers to a dynamic system that can be represented by a second order differential equation. It consists of two state variables and is commonly used to model physical systems such as mechanical, electrical, or thermal systems.

2. How do you solve a 2nd order system in Matlab?

To solve a 2nd order system in Matlab, you can use the built-in function "ode45" which uses a Runge-Kutta method to numerically solve the differential equation. Alternatively, you can also use the "dsolve" function to obtain an analytical solution.

3. What are the inputs and outputs of a 2nd order system in Matlab?

The inputs of a 2nd order system in Matlab are the initial conditions, the system parameters, and the external input (if any). The outputs are the time response of the state variables, which can be plotted using the "plot" function.

4. How do you plot the step response of a 2nd order system in Matlab?

To plot the step response of a 2nd order system in Matlab, you can use the "step" function, which takes the system transfer function as input and generates a plot of the response. Alternatively, you can also use the "lsim" function to simulate the step response of a system with a specific input signal.

5. Can a 2nd order system in Matlab have complex poles?

Yes, a 2nd order system in Matlab can have complex poles. These complex poles represent oscillatory behavior in the system response. In order to plot the response of a system with complex poles, you can use the "impulse" function, which takes the system transfer function and initial conditions as inputs.

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