What is Controllability?
The system is controllable when the desired output is obtained by applying the specific controlled input. It is the ability to control the state of the system. The controllability of the system can be checked using the Kalman Test.
Control System
The given below is the condition for the controllability:
Q0 = [B AB A2B ….. An-1B]
If the determinant of Q0 is not equal to 0 then the system is controllable.
[Tex]|Q_{0}| \neq 0 [/Tex] —- (system is controllable)
|Q0| = 0 —– (system is un-controllable)
Controllability and Observability in Control System
The control system is the system that directs the input to another system and regulates its output. It helps in determining the system’s behavior. The controllability and observability help in designing the control system more effectively. Controllability is the ability to control the state of the system by applying specific input whereas observability is the ability to measure or observe the system’s state. In this article, we will study controllability and observability in detail.
Table of Content
- What is Controllability?
- What is Observability?
- Kalman’s Test for Controllability and Observability
- Condition of Controllability and Observability in S-Plane
- Advantages and Disadvantages of Controllability and Observability
- Applications of Controllability and Observability
Contact Us