Fal!2001 16.3121-8 Example: Just picked a random 3x3 system -0.7500-2.0000 2.0000-0.7500 0 0 0-00 4.0000 0 1.0000 1.99946.4512 0989 3.45003.3430 7836 4.07815.9542-8.0204 3.5595-6.01231.2865 05650.5287-2.17070.6145 1.41510.2193-0.05920.5077 -0.8051-0.9219-1.01061.6924 0.00440.00920.0041 0.0062 740.009 0.00790.00180.0092 The singular value plot for this state space system is shown below SV Plots Freq(rad/sec) Figure 1: SVD of a typical 3x3 TFMFall 2001 16.31 21—8 • Example: Just picked a random 3x3 system a = -0.7500 -2.0000 0 0 2.0000 -0.7500 0 0 0 0 -1.0000 -4.0000 0 0 4.0000 -1.0000 b = -1.9994 6.4512 -0.0989 3.4500 3.3430 -0.7836 4.0781 5.9542 -8.0204 3.5595 -6.0123 1.2865 c = -1.0565 0.5287 -2.1707 0.6145 1.4151 0.2193 -0.0592 0.5077 -0.8051 -0.9219 -1.0106 1.6924 d = 0.0044 0.0092 0.0041 0.0062 0.0074 0.0094 0.0079 0.0018 0.0092 • The singular value plot for this state space system is shown below: SV Plots 102 101 100 10−1 10−2 10−1 100 101 102 Freq (rad/sec) SV Figure 1: SVD of a typical 3x3 TFM