State observer design

1. What is meant by state observer?
2. How do you create a state observer?
3. Which method can be used for designing state observer?
4. Is Kalman filter a state observer?

What is meant by state observer?

In control theory, a state observer or state estimator is a system that provides an estimate of the internal state of a given real system, from measurements of the input and output of the real system. It is typically computer-implemented, and provides the basis of many practical applications.

How do you create a state observer?

State Observer Design

˙ x = Ax + Bu, y = Cx + Du. We should note that we can modify the dynamics (eigenvalues) of the error system by proper selection of the gain L. If the system is observable, it is always possible to find an observer gain L to set the eigenvalues of the error dynamics at arbitrary values.

Which method can be used for designing state observer?

State Estimation Using an Observer

The idea is to design the observer in such a way that the state estimate ˆx is asymptotically accurate. ‖ˆx(t)−x(t)‖=√n∑i=1(ˆxi(t)−xi(t))2→0, as t→∞.

Is Kalman filter a state observer?

State observers combine information about a system's behavior and external measurements to estimate the true state of the system. A common observer used for linear systems is the Kalman Filter.