Scilab-Branch-6.1-GIT
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See the recommended documentation of this function
ltitr
discrete time response (state space)
Syntax
[xf, X] = ltitr(A, B, U) [xf, X] = ltitr(A, B, U, x0)
Arguments
- A,B
real matrices of appropriate dimensions
- U,X
real matrices
- x0,xf
real vectors (default value=0 for
x0
))
Description
calculates the time response of the discrete time system
x[t+1] = Ax[t] + Bu[t].
The inputs ui
's are the columns of the U
matrix
U=[u0,u1,...,un];
x0
is the vector of initial state (default value : 0) ;
X
is the matrix of outputs (same number of columns as U
).
X=[x0,x1,x2,...,xn]
xf
is the vector of final state xf=X[n+1]
Examples
A=eye(2,2);B=[1;1]; x0=[-1;-2]; u=[1,2,3,4,5]; x=ltitr(A,B,u,x0) x1=A*x0+B*u(1) x2=A*x1+B*u(2) x3=A*x2+B*u(3) //....
See also
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