In matlab code#
In matlab series#

If the sampling time is specified, the time scale will be in seconds. If the sampling time is unspecified, the output time scale will be in samples. If the system under consideration is a discrete-time system, step will plot the output as piecewise constant. Response using plot(t,y) and the state response using plot(t,x). Otherwise, MATLAB will print out the entire output, state, and time vectors to the command window. You will usually want to put a semicolon after the step command when you invoke it with lefthand arguments When used with lefthand arguments, no plot is drawn when the step function is called. It has as many columns as states and as many rows as elements in the time vector, t. The x vector contains the state response. It has as many columns as outputs and as many rows as elements in the time vector, t. The y vector contains the output response. If the system is in state-space form, then the time histories of the internal states can also be returned. There are two ways to invoke the lefthandДЄrguments, depending on whether or not the time vector was supplied to the step command. The final note about the step command is that all of the above variations can be used with lefthand arguments. Running will generate the figure shown below.ДЄs you can see, the plot goes for 10 seconds. Adding the following commands to your m-file and Suppose that the first 10 seconds need to be displayed.ДЄ time vector can be created to compute the step response over this range. In the above two plots, only the first 6 seconds of the response are shown. Specifcally, a specified time vector can be supplied via the second input to the function as shown below. If the vector is spaced at small time intervals, the plot will look smoother. Over which the step response will be calculated. This vector will specify the time interval The step response for any LTI object can be plotted with a user-supplied time vector. The plot looks similar to the one above it except that it has been scaled vertically by a factor of 100. For the exampleДЄbove, this is achieved with the following code, which generates the plot shown below. The step command can accommodate this by multiplying the system by 100 (since we are only dealing with linear systems). Suppose the input to our system was not 1 Newton, but in fact 100 Newtons. So far, we have only dealt with unit step inputs. The system is underdamped and has overshoot.ДЇurther details regarding the use of the step command for more advanced situations are given below. You can see that in steady-state the mass has movedД .1 meters (the spring force balances the applied force). This figure shows the output response, which is the position of the mass. Running this script in the MATLAB command window will generate a plot like the one shown below.

In matlab code#

To model this, enter the following code into a new m-file. You wish to see what the system response to unit step input is (an appliedДЇorce of 1N). You can derive the transfer function shown below. However, the step command can also accept MIMO, Multiple-Input, Multiple-Output, systems.ДЇor example, suppose you want to model a mechanical system consisting of a mass, spring, and damper, with an applied force. In thisД¬ase, there will be only one plot generated. Most systems you will come across in the beginning will be SISO or Single-Input, Single-Output.

In matlab series#

This command will produce a series of step response plots, all on the same figure.