MAE 376 Find the Output Voltage v(t), using Simulink Modeling of Analysis of Dynamic Systems 1. EXI energy storage element-1 VR1 + VR2 | R if the current were to change, the inductor would use the magnetic field to buck or reduce the change in curre energy storage element -2 Textbook used: Modeling and Analysis of Dynamic Systems, Authors of the textbook: Dr. Ramin S. Esfandiari & Dr. Bei Lu + KHV Loop-1 L VR1 VL + V Va Loop-1 KHC Instructor: Saeid Janani node node-1 i,1 ic R2 R V 2. This circuit has two energy storage elements, L and C. This implies that two state variables are needed, and they are: x = 4 2 SV 2 SVE X = VC Where: KHV Loop-1 = di dt 1 R 1 . = VL X1 L L L 1 1 x2 == RC = = KHC node-1 dvc dt VR1 + V+ Vc V = 0 => i-iz-ic=0 3. The Output equation is: y=V =Vc = x2 4. Simulink block diagram: Step x' = Ax+Bu vo(t) y = Cx+Du State-Space 2.5 s Scope SS R R Voltage eqns. VR = = RiR di dt vc = - icdt of 16-4 Current eqns. iR = v dt ic = cc y=[01]+0 Time (s) 11