Control System Toolbox™ provides algorithms and apps for systematically analyzing, designing, and tuning linear control systems. You can specify your system as a transfer function, state-space, zero-pole-gain, or frequency-response model. Apps and functions, such as step response plot and Bode plot, let you analyze and visualize system behavior in the time and frequency domains.

CITED FROM Design and analyze control systems

https://www.mathworks.com/products/control.html

Dear Chapa Sirithunge

sampled-data systems are problematic when taken into simulation. I managed to develop a Simulink model by discrete blocks for a sampled-data (digital) control system associated to a missile, in my research:

https://ieeexplore.ieee.org/document/7500499

It was interesting that on my own computer, the result was totally correct and satisfactory, whereas, in some other computers, the exactly the same file of the Matlab Simulink digital control system was unstable through simulation. I guess, since such models rely on a digital time sampling, hence any diminutive instability of CPU digital clock, could lead to instability of simulation.

https://en.wikipedia.org/wiki/Nyquist_rate

Dear Chapa Sirithunge

MATLAB simulations are very helpful and important to understand the total system behaviour, ideally.

To have more accurate simulations and conformity, you need to add real life parameters to the mathematical models' coefficients and state-space models.

Regards.

Control System Toolbox™ provides algorithms and apps for systematically analyzing, designing, and tuning linear control systems. You can specify your system as a transfer function, state-space, zero-pole-gain, or frequency-response model. Apps and functions, such as step response plot and Bode plot, let you analyze and visualize system behavior in the time and frequency domains.

CITED FROM Design and analyze control systems

https://www.mathworks.com/products/control.html

Thank you very much for explaining. This includes what I wanted to know. That means simulation results alter and can be unsatisfactory depending on various parameters including computer hardware. I'll have a look at the articles. Thanks!