Description Usage Arguments Details Value See Also Examples

`lsim`

Computes the time response of a Linear system described by:

*x = Ax + Bu*

* y = Cx + Du*

to the input time history `u`

.

1 |

`sys` |
An LTI system of |

`u` |
A row vector for single input systems. The input |

`t` |
time vector which must be regularly spaced. e.g. |

`x0` |
a vector of initial conditions with as many rows as the rows of |

`lsim(sys, u, t)`

provides the time history of the linear system with zero-initial conditions.

`lsim(sys, u, t, x0)`

provides the time history of the linear system with initial conditions.
If the linear system is represented as a model of `tf`

or `zpk`

it is first converted to state-space before linear simulation is performed. This function depends on `c2d`

and `ltitr`

Returns a list of two matrices, `x`

and `y`

. The `x`

values are returned from `ltitr`

call.

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 | ```
signal <- gensig('square',4,10,0.1)
H <- tf(c(2, 5, 1),c(1, 2, 3))
response <- lsim(H, signal$u, signal$t)
plot(signal$t, response$y, type = "l", main = "Linear Simulation Response", col = "blue")
lines(signal$t, signal$u, type = "l", col = "grey")
grid(5,5, col = "lightgray")
## Not run: based on example at: https://www.mathworks.com/help/ident/ref/lsim.html
## Not run: MIMO system response
A <- rbind(c(0,1), c(-25,-4)); B <- rbind(c(1,1), c(0,1))
C <- rbind(c(1,0), c(0,1)); D <- rbind(c(0,0), c(0,0))
response <- lsim(ss(A,B,C,D), cbind(signal$u, signal$u), signal$t)
plot(signal$t, response$y[1,], type = "l",
main = "Linear Simulation Response", col = "blue"); grid(7,7)
plot(signal$t, response$y[2,], type = "l",
main = "Linear Simulation Response", col = "blue"); grid(7,7)
``` |

Embedding an R snippet on your website

Add the following code to your website.

For more information on customizing the embed code, read Embedding Snippets.