numerical integration

Illustrate the use of the Modified Euler method by simulating two steps of the following equation... Please see attached.

controller form

Derive the controller form state space description for the following specific system, showing how state variables are allocated... Please see attached.

Tune PI parameters

Given are the facts that Gc and Gp(s) are in series and Gp(s) = (K * Km) / [s[(Ls+R)(Js+b) + K^2m)]] K=5; Km=0.5; L=0.001; R=1; J=0.003; b=0.1 Using the trail and error method, tune the PI parameters so they meet these requirements: Steady state error = 0, Settling time <= 0.5s, and Overshot <=20% Please give complete solutions.

Discrete Time Systems

Question 6: (a) Find the (zero order hold) z-domain transfer function of the system ... (b) Find the z-transform of the sequence ... (c) Hence, find the z-transform of samples of the output of the system in (a) when excited by zero order held signals ... Please see attachment for complete question. Thank you!

Bode Plot,Time responses, Z-transforms,Euler methods

These are Multiple choice questions. Please prove your solutions analytically. Do not use any software to solve these questions. 1. Identity the transfer function corresponding to the bode plot below... Please see attached.