Howtosignalprocessing
- How do you represent a state space?
- How do you convert TF to state space?
- What is ABCD in state space?
How do you represent a state space?
The state space representation is to represent a system in the form of x(k + 1) = f (x(k), u(k), k) and y(k) = g(x(k), u(k), k). If the system is linear, then four time varying matrices A(k), B(k), C(k) and D(k) exist, such that x(k + 1) = A(k)x(k) + B(k)u(k) and y(k) = C(k)x(k) + D(k)u(k).
How do you convert TF to state space?
Probably the most straightforward method for converting from the transfer function of a system to a state space model is to generate a model in "controllable canonical form." This term comes from Control Theory but its exact meaning is not important to us.
What is ABCD in state space?
A is the system matrix. B and C are the input and the output matrices. D is the feed-forward matrix.
