Portfolio of work Part 1 ENEL809 2021 Due on Friday of week 5: Friday 16th April 2021 at 9AM (morning!) Submit online. All documents must be in ONE FILE. Document submitted on Teams and in Microsoft Word format only – PDF not allowed here. You must download MATLAB including control systems toolbox and signal processing toolbox. Download from https://au.mathworks.com/downloads/web_downloads/select_release Login with AUT login Make sure you select the Signal Processing Toolbox and the Control Systems Toolbox. Also Simulink would be handy but not needed here. Note: if you later require a toolbox that you forgot to add then get it from here https://www.mathworks.com/downloads/ activation key: 10684-24903-08488-17151-26430 A circuit is shown below (a) Find the state-variable representation for the circuit if the states are defined as two currents and one voltage: (note in algebraic form). Show ALL working. 1 2 c i X i v Take y(t) to be the voltage across R2 as the system output and u(t) the input. A state variable description is of the form X AX Bu, y Cx . (15 marks) (b) Draw the signal flow graph from input to output. (algebraic in terms of component values) (5 marks) (c) If 1 2 1R 100 R 10 L 0 1H L2 C 100 F, , . , , use MATLAB to find and plot where necessary (i) the transfer-function of the system y/u , (ii) the poles and zeros, (iii) the step-response of the states (use lsim() in MATLAB) for a voltage u t 10 over a runtime of 0.1 seconds, (use a sampling frequency of 20 kHz), (iv) the Bode-plot of the system,(v) the capacitor current. Show MATLAB code. (10 marks) Total 30 marks
欢迎咨询51作业君