Note: The plots using Matlab should include all important aspects related to the analysis. Specifically, the plots should show: 1. The uncompensated system. 2. The response of the uncompensated system. 3. The compensated system. 4. The response of the compensated system. These elements ensure a comprehensive representation of both the systems and their behaviors before and after compensation. Figure 2 shows the simplified model of a system with a unity feedback open-loop transfer K function of G(s). s(s+5)(s+20) R(s) + G(s) C(s) Figure 2: The simplified model Use MATLAB sisotool to perform the following tasks by showing all related considerations and figures a) b) c) Plot the Bode plot if the system operates with K₁ = 10. Determine the gain margin (GM), phase margin (PM), gain cross over frequency (@gc.) and phase cross over frequency (p). Design a lead compensator to reduce the percent overshoot (%OS) to 10%, while keeping the same steady-state error.

Significance of transient behaviour in control systems. Could an example with  temperature control for a human occupied building be provided?

Derive the expression for Zin

Discuss the importance of power delivery and voltage regulation on a motherboard. How do voltage regulators and capacitors ensure stable power to components?