EE 5307- Program Assignment 2 Instructions 1) Simulate in MATLAB 2) Credit for innovation and originality of code and solution 3) No collusion allowed. No credit if violation found 4) Submit MATLAB file compatible with MATLAB R2014b with documentation. 5) Submit a report briefly explaining your code and approach to the solution. State all assumptions and display outputs clearly (marking labels, legends, no snapshots). Report must include code as well. Credit for clarity ofreport and quality of output. Problem Statement Consider the following non-linear systems x1 x, 1. f(x,u) Lxt (Assume m (in Kg), L (in metre) Given g 9.8m/sec) 2 1 2 u (x2) a) For 3 different and unique combination of initial values and input u plot the phase plane plot (x1vs x2) and output plots of the non-linear system using MATLAB. (Hint: use ode23) b) For same 3 combination of initial values and input u used in (a) plot the phase plane plot (x1vs x2) and output plots of the linearized system using MATLAB. (Hint: Find linearized system using taylor series analytically) c) For the 3 combination of initial values and input u used in (a) and (b) compare the outputs by plotting them on the same plot. Comment whether linear model is a good representation of non-linear model in each case. (Hint: Use different color to distinguish between the plots resulting from non- linear model and linear model) (Credit for considering unique initial values and innovative inputs)