Complete 5 pages APA formatted article: Frequency Domain Analysis of Control Systems and Time Domain Analysis.

Complete 5 pages APA formatted article: Frequency Domain Analysis of Control Systems and Time Domain Analysis. Control system refers to the use of algorithms and feedback in engineered systems. Control system includes such examples as feedback loops in setpoint controllers and even router protocols controlling traffic flow on the internet. Emerging applications in control systems include high-confidence software systems, as noted by (Achanta, Hemami, Estrada, & Susstrunk, 2009). Control is, therefore, an information science including the use of data in both analog and digital representations (Achanta et al., 2009). In these control systems, electric signals have both time and frequency domain representations. Frequency domain analysis is a cornerstone of signal and system analysis, and in most cases, it is analyzed using Fourier transforms. Frequency domain analysis is the most commonly applied in fields such as electrical engineering, science as well as several areas of mathematics (Takarada et al., 2010).

Both terms are associated with the study of signals and systems. The terms refer to an independent variable(x in the functional relationship and y=f(x)) used in the two-dimensional identification of the signal. Most of the industrial control systems are designed using frequency response methods. Frequency response refers to the steady-state response of the control system to a sinusoidal input. For a system with sinusoidal input r(t)=A sin wt. A steady-state output could be written as c(t)=B sin. Frequency response refers to the magnitude and the phase relationship occurring between the sinusoidal input and the steady-state output of a system (Takarada et al., 2010).

For example, a signal r(t)=3 sin 4t-2cos 5t is represented as a graph of values of r against time(t), the representation is in the time domain.

Correlation between the two systems is defined by bandwidth while overshoot correlates to peaking. It is worth noting that in real systems, the time domain is more difficult to interpret.