ltitr - discrete time response (state space)

Calling Sequence

[X]=ltitr(A,B,U,[x0])

[xf,X]=ltitr(A,B,U,[x0])

Parameters

• 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

rtitr  flts