State space technique

State space modeling is a technique that describes a given system using a system of linear differential equations. These equations are easily manipulated using matrix operations and may be used to relate the internal, or state variables to the system input and output.

1. What is state space with example?
2. What is meant by state space?
3. Why is state space analysis used?
4. What is the advantage of using state space method?

What is state space with example?

State Space: State Space is known as the set of all possible and known states of a system. In state-space, each unique point represents a state of the system. For example, Take a pendulum moving in to and fro motion. The state of such an idealized pendulum is represented by its angle and its angular velocity.

What is meant by state space?

A state space is the set of all possible configurations of a system. It is a useful abstraction for reasoning about the behavior of a given system and is widely used in the fields of artificial intelligence and game theory.

Why is state space analysis used?

State space analysis is an excellent method for the design and analysis of control systems. The conventional and old method for the design and analysis of control systems is the transfer function method. The transfer function method for design and analysis had many drawbacks.

What is the advantage of using state space method?

The major benefit of state space control over transfer function methods is its applicability to a wide range of systems: linear and non-linear; time-varying and time-invariant; single-input, single-output (SISO) and multiple-input, multiple-output (MIMO).