AE 383 System Dynamics HW#3 Due: Dec. 27, 2005 1. Using Routh’s stability test, examine the stability of the systems whose characteristic equations are given below. a. 7654322.345.67111812.3sssssss+++++++b. 5432122032164200400ssssss++++++c. 876543234821351941456ssssssss++++++++2. Following feedback control system is given. Using Routh’s stability test, find the range of values on K for the system to be stable. 3. Approximately plot the unit step response of the following system whose characteristic equation roots are at: 18j− ±. 4. The following 2ndorder system is given: 2100( )20100G sssζ=++. Using Simulink obtain the response of this system to step input for various values of the damping ratio, (0.1,0.3,0.7,1.,1.5)ζ=. Comment on your results. (Hint:
This is the end of the preview.
access the rest of the document.