In state space analysis we are concerned with three types of variables that are involved in the modeling of dynamic systems: input variables, output variables, and state variables. Consider the state space representation as x = Ax + Bu y = Cx + Du where x is the state vector, u is the input, y is the output, A, B, C, and D are vectors and matrices. Let us write the closed-loop transfer function as Y(s)/U(s) = numerator polynomial in s/denominator polynomial in s = num/den Once we have this transfer function expression, the MATLAB command [A, B, C, D] = tf2ss(num, den) will give a state space representation. It is important to note that the state space representation for any system is not unique. There are many (infinitely many) state space representations for the same system. The MATLAB commands gives one possible such state-space representation. Obtain the state space of the following transfer functions a. G(s) = s/s^3 + 14s^2 + 56 s + 160 b. G(s) = 10s + 4/s^2 + 4s + 4 Obtain the transfer function and the space state of the following electrical circuit for L = 1 mH, C = 1.0 mu F, and R = 3.9 K ohm