Consider the control system as shown in Figure 1. Assume K>0. R(s) K (s + 1)(s...

 

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Consider the control system as shown in Figure 1. Assume K>0. R(s) K (s + 1)²(s + 3) Figure 1 Control system for Question 1 1.2 Given the system 2.1.1 Determine the range of K to make the system stable based on Routh's stability criterion. 2.1.2 Determine the value of K that makes the system oscillate. x = [²2₂²¹7] x + [¹] u y = [1 0]X Determine the stability of this system. C(s) (12) Page 2 of 4 Consider the control system as shown in Figure 1. Assume K>0. R(s) K (s + 1)²(s + 3) Figure 1 Control system for Question 1 1.2 Given the system 2.1.1 Determine the range of K to make the system stable based on Routh's stability criterion. 2.1.2 Determine the value of K that makes the system oscillate. x = [²2₂²¹7] x + [¹] u y = [1 0]X Determine the stability of this system. C(s) (12) Page 2 of 4