44 lines
1.1 KiB
Markdown
Executable File
44 lines
1.1 KiB
Markdown
Executable File
---
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author: Akbar Rahman
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date: \today
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title: MMME2046 // Stability
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tags: []
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uuid: 2b0062f7-cc8a-4e52-8e12-1eb731e056af
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lecture_slides: ./lecture_slides/Control 2 2022.pdf
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---
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# Introduction to Transient and Steady-State Responses
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![](./images/vimscrot-2023-02-06T17:03:18,594676084+00:00.png)
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A stable system settles.
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An unstable system has increasing amplitude in its fluctuations.
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The steady-state error is how accurate a system will be once settled.
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If we subject control systems to standard input we can compare and tune their performance.
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Consider three inputs:
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i. step input
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ii. ramp input (linear change with time)
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iii. harmonic input (considered in vibration)
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These inputs are useful because they
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- are easily to apply in practice
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- approximate to operating conditions in control systems
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![](./images/vimscrot-2023-02-06T17:10:11,891784480+00:00.png)
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# Practical Measurement of Transient Response
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![](./images/vimscrot-2023-02-06T17:10:48,755879402+00:00.png)
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a. maximum overshoot
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b. number of oscillations
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c. rise time
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d. settling time
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e. steady state error
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