I am looking for a book or a paper which can help me find the relationship between these parameters.
There are many papers that address the relation between the sampling period and the deadline.
It has been shown that the hard deadline represents the maximum allowable control latency to guarantee stability and it is typically several times larger than the sampling period.
On the other hand, the shortest deadline, the better performance and robustness can be guaranteed.
- Anton Cervin. Analyzing effects of missed deadlines in control systems. In ARTES Graduate Student Conference, 2001.
- António P. Magalhães, Mário Z. Rela, and João G. Silva. Deadlines in real-time systems. Technical report, Universidade do Porto, Portugal, 1993.
- Kang Shin, C. Krishna, and Yann-Hang Lee. A unified method for evaluating real-time computer controllers and its application. IEEE Transactions on Automatic Control, 30(4):357–366, Apr 1985.
Zain Hammadeh, Thank you for your answer. Unfortunately this is not the relation i was looking for. When i said dead-time, I meant the initial delay of the system.
So to rephrase my question,
"How do i derive a relationship between the sampling time of the real-time system and the initial delay of system?"
Hi Ankur Mahendra Jain ,
May you please help me to understand what do you mean by "initial delay"? is it the jitter?
However, the following tutorial may help you:
Real-time Control Systems: A Tutorial https://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=1426785
Hello Zain Hammadeh ,
What i mean by initial delay is the time the system takes to show any response to the given input.
In the attached figure the term t_d refers to the dead-time or the initial delay of the system.
Oh, I see!
Using "real-time" in the question was misleading for me, sorry!
It is a control engineering, I cannot help.
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