What is the difference between method and function in Scala?

What's the difference between state space method and transfer function method ?

• This is to analyze the dynamics of system

• Answer:

  The difference is in the way the system is modeled. State space method generates a matrix from the system differential equations by making each order of the derivatives into a variable. IOW, you have a matrix of first order derivatives, e.g., x1' = x2, x2' = x3, and so on. Once you have the matrix you can identify it by using an RMS algorithm, and optimize it by applying the Integral of the Square Error (ISE) method. The transfer function method applies a Laplace transformation to the differential equations, which allows handling them as a single algebraic equation. The state space method works better with complex time domain responses, while the transfer function method is a frequency domain model. But, the true problem remains always the same, i.e., coming up with a good, real-world, set of differential equations. Anything above third or fourth order eqns. is messy and prone to instability. Hints: Concentrate on the large time constants only. An inherently stable system will have its large time constants BEFORE the controller. The lowest control effort will result when all time constants are equal. .