Pole placement controller design

1. What is pole placement design in control system?
2. What is the advantage of designing controller using pole placement method?
3. How do you choose poles in pole placement?
4. What is pole placement problem?

What is pole placement design in control system?

Description. Pole placement is a method of calculating the optimum gain matrix used to assign closed-loop poles to specified locations, thereby ensuring system stability. Closed-loop pole locations have a direct impact on time response characteristics such as rise time, settling time, and transient oscillations.

What is the advantage of designing controller using pole placement method?

Placing poles is desirable because the location of the poles corresponds directly to the eigenvalues of the system, which control the characteristics of the response of the system. The system must be considered controllable in order to implement this method.

How do you choose poles in pole placement?

Using the place function, you can compute a gain matrix K that assigns these poles to any desired locations in the complex plane (provided that (A,B) is controllable). For example, for state matrices A and B , and vector p that contains the desired locations of the closed loop poles, K = place(A,B,p);

What is pole placement problem?

Given a plant G(s), which may include the plant P(s) and feedback sensor F(s), can we find a controller C(s) that can place the roots of the characteris- tic polynomial is proscribed locations. This is known as the pole-placement problem.