functiontimeResponse

Compute time response of DiscreteStateSpace system

Information

Computes the time response of a system in discrete state space form:

     x(Ts*(k+1)) = A * x(Ts*k) + B * u(Ts*k)
     y(Ts*k)     = C * x(Ts*k) + D * u(Ts*k)
     x_continuous(Ts*k) = x(Ts*k) + B2 * u(Ts*k)

Note that the system input u must be sampled with the discrete system sample time Ts.

Type	Name	Default	Description
DiscreteStateSpace	sd		Linear system in discrete state space form
Real[:,size(sd.B, 2)]	u	ones(3, size(sd.B, 2))	System input (dimension: (input samples) x (number of inputs))
Real[size(sd.A, 1)]	x0	zeros(size(sd.A, 1))	Initial system state

Type	Name	Default	Description
Real[size(u, 1),size(sd.C, 1)]	y		System response (dimension: (input samples) x (number of outputs))
Real[size(u, 1),size(sd.A, 1)]	x_continuous		State trajectories (dimension: (input samples) x (number of states)