- Consider a model of a simple two tank system given in the following figure: M 11 Figure 1: Two tank system with fi = " and f2 = kg Assuming that the flow rate, u(t) is input and flow S2(e) is output, where K, K, (valve charac- teristics) and A, and A, are constants: (a) Find the continuous-time state space representation of the system. Let x1 = h, 12 = hy. (Hint: fi = (hy - hz)K), (b) Find discrete state space model representation for the following parameters Ki = 2, K, = 2, Aj = 1, A, = 0.5, and sampling time At=0.2. (c) Find the overall transfer function by using 2-transform. (d) Find the zero-input state response zero input(na)