item (a) shows four equations, but i don't know how to apply them to get an unknown number. Tell me how.

P +29 Wn -0.26h - 0.11kp tooln=25 wnpt wo? - p wn = 0.11 kp - tr 222 T-O (22.2 TT - Cost (5) 22.2 - Whilga Wd 0.0.0.0 I wonder the answer to this question and how to solve the four equations (0,0,0,0). 4.9 Problem 4.8 (PID controller) Problem 4.37 in the Textbook. Consider the process control system with the plant transfer function 10 G(s) (8s + 1)(7s + 1) ps (a) Design a PI controller such that the rise time is less than 2.2 sec. (b) Design a PID controller so that the system ahs no overshoot and the settling time is 5 sec. (c) Design a controller such that the peak time is less than 4.5 sec. 5(85 2 P +29 Wn -0.26h - 0.11kp tooln=25 wnpt wo? - p wn = 0.11 kp - tr 222 T-O (22.2 TT - Cost (5) 22.2 - Whilga Wd 0.0.0.0 I wonder the answer to this question and how to solve the four equations (0,0,0,0). 4.9 Problem 4.8 (PID controller) Problem 4.37 in the Textbook. Consider the process control system with the plant transfer function 10 G(s) (8s + 1)(7s + 1) ps (a) Design a PI controller such that the rise time is less than 2.2 sec. (b) Design a PID controller so that the system ahs no overshoot and the settling time is 5 sec. (c) Design a controller such that the peak time is less than 4.5 sec. 5(85 2