Form

Phase variable canonical form

Phase variable canonical form
  1. What is phase variable form?
  2. What is the canonical form of an equation?
  3. What is canonical form in control system?
  4. What is state variable form?

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.

What is the canonical form of an equation?

The canonical form specified by equation (2.2) is the simplest representation of linear dynamical systems. ¨y+(km−c24m2) y=1mexp (c2mt)f(t). This undamped form is sometimes referred to as the normal form of a single-degree-of-freedom system.

What is canonical form in control system?

Controllable canonical form is a minimal realization in which all model states are controllable. Like companion form and observable canonical form, it can be ill-conditioned for computation.

What is state variable form?

Intuitively, the state of a system describes enough about the system to determine its future behaviour in the absence of any external forces affecting the system. Models that consist of coupled first-order differential equations are said to be in state-variable form.

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