LQO. Consider the system described by (1). 1. Determine whether (A,C) is observable using the Matlab function obsv. 2. Design an LQO with V1=0.01I4 and V2=0.001. The LQO is x^=Ax^+Bu+F(yCx^) where F=(lqr(AT,CT,V1,V2))T. 3. Simulate the LQO in Simulink. Assume that x(0)=[1234]T and, for all t0,u(t)=1+sin(0.5t). Plot the system and the LQO states in the same figure. 4. Repeat Problem 4.3 with V2=1. How is the convergence of the LQO state to the system state affected by increasing V2