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Control with Matlab

Effect of Zeros on System Response

The zeros zj of G(s) do not affect the system stability. However, they do affect the amplitudes of the mode functions in the system response and can block the transmission of certain input signals. In general, to assess the Impact of the zeros on the amplitude of the mode functions, …

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Zero State Response using Matlab

Response to a General Input In addition to computing and plotting the impulse and step responses of a system, MATLAB can be used to find and display the response to general functions of time. This is done with the lsim command, which can be used in a variety of ways. …

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Impulse Response using Matlab Transfer Function

How to Obtain an Impulse Response Once a transform (or transfer function) G(s) has been defined in MATLAB, operations can be performed to compute and display the corresponding time function g(t), known as the inverse Laplace transform. If the poles are known, G(s) can be written as a partial-fraction expansion …

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Transfer Function Calculation Matlab with Example

Transfer Functions Representation Consider a fixed single-input/single-output linear system with input u(t) and output y(t) given by the differential equation $\begin{matrix}   \overset{..}{\mathop{y}}\,+6\overset{.}{\mathop{y}}\,+5y=4\overset{.}{\mathop{u}}\,+3u & \cdots  & (1)  \\\end{matrix}$ Applying the Laplace transform to both sides of (1) with zero initial conditions, we obtain the transfer function of the system from the …

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