Effects of Sampling on Controlled Signals Using Matlab

Sampling is the process of converting continuous time signals into discrete numerical values, is fundamental in digital control systems. Accurate sampling is critical to ensure that the discrete signals used in digital controllers strictly represent the original continuous signals without distortion. This paper presents a comparative analysis of analog signals sampled at rates above and below the Nyquist rate, emphasizing the impact on signal integrity in both time and frequency domains. Using MATLAB simulations, the spectrum of sampled signals is examined to demonstrate how undersampling leads to aliasing, a phenomenon that introduces distortion and degrades control system performance and may lead to instability. The study highlights the importance of selecting appropriate sampling rates in digital control to avoid aliasing effects, ensuring an accurate signal representation for reliable control actions. Simulation results, including MATLAB-generated plots, illustrate the relationship between sampling rate, aliasing, and signal fidelity, providing valuable insights for practitioners designing digital control systems............. Keywords:............ Sampling, Digital Control, Aliasing, Nyquist Rate, Signal Spectrum, Fourier Transform, Discrete Signals.