Howtosignalprocessing
- What is phase variable form?
- How do you represent a state space?
- What are the state space representation forms and explain them?
- What are state space variables?
What is phase variable form?
Phase variables: The phase variables are defined as those particular state variables which are obtained from one of the system variables & its (n-1) derivatives. Often the variables used is the system output & the remaining state variables are then derivatives of the output.
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).
What are the state space representation forms and explain them?
The "state space" is the Euclidean space in which the variables on the axes are the state variables. The state of the system can be represented as a state vector within that space. To abstract from the number of inputs, outputs and states, these variables are expressed as vectors.
What are state space variables?
State-space models are models that use state variables to describe a system by a set of first-order differential or difference equations, rather than by one or more nth-order differential or difference equations.
