Types of System Based on Stability

There are 3 types of system based on stability:

  • Completely stable system
  • Marginally stable system
  • Conditionally stable system
  • Unstable System

Completely Stable System

As the name suggests, a completely stable system provides a stable output for all ranges of values. One way to identify a completely stable system is to check the poles of the transfer function. If the poles of the open and closed loop system lie in the left half of the s-plane, then the system is completely stable.

The graph given below shows the completely stable system.

Completely Stable System

Marginally Stable System

A marginally stable system is a system that is stable for the current or present value. Any disturbance in the input can make the output of the system unstable. The marginally stable system can be identified when the poles of the open loop and closed loop system lie on the imaginary axis of the s-plane. The graph given below is the example of marginally stable system.


Marginally Stable System

Conditionally Stable System

When a system is stable for certain values, then it is known as a conditionally stable system. The system can become unstable during the transient response. In simple terms, a conditionally stable system is stable only when the loop gain of a system is in a particular range. The image given below shows a conditionally stable system.

Conditionally Stable System

Unstable System

A system is said to be unstable when it produces uncontrolled output. The unstable system can be identified when the open and closed loop poles are on the right half of the s-plane. The given graph shows the unstable system.

Unstable System


Control Systems – Stability

Control systems are used to control the behavior of any dynamic system. It provides accurate information about the dynamic system so that it can work well. One of the important aspects of the control system is STABILITY. The stability of the system is important in order to get the desired output from the system. In this article, we will deal with how control system analysis helps in providing stability to the system. We will also study types of stability, applications, and many more.

Table of Content

  • What is Stability?
  • Types of Stability
  • Types of System Based on Stability
  • Methods to Analyze the Stability
  • Applications
  • Advantages and Disadvantages

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What is Stability?

The stability of the system means when a controlled input is provided to any dynamic system, it must result in providing the controlled output. In other words, the system must be BIBO stable i.e., bounded input bounded output system. If the system is not in our control i.e., uncontrolled output is obtained on providing the bounded input then the system is said to be unstable....

Types of Stability

There are 3 types of stability which are as follows:...

Types of System Based on Stability

There are 3 types of system based on stability:...

Methods to Analyze the Stability

The stability analysis in the control system is done using various methods. Some of the important methods are listed below:...

Applications of Control Systems – Stability

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Advantages and Disadvantages of Control Systems – Stability

The advantages and disadvantages of the stability are given below :...

Conclusion

In this article, we have studied stability in the control system. Stability is crucial for any dynamic system for proper functioning. There are various techniques from which we can determine the stability of the system which is discussed in the article. We have also studied its applications, advantages, and disadvantages for a better understanding of the concept. This sows that if the output is controlled then we can say that the system is stable or if in open loop transfer function, any two poles are present on the imaginary axis – then the system is said to be stable....

FAQs on Control Systems – Stability

When the feedback is applied to the system, how does it provide stability?...

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