# Category: control systems by norman s nise #### 4. Simplify the following block diagram:

... #### 2. For the system shown below write the different equation of the system. Assume that the system is initially at equilibrium (you can ignore the effects of gravity).

... #### For a negative unity feedback control system with G(s)=20(s+3)(s+4)/s(s^2+2s+15) what type of the system is G(s) find kp,ka,KY find steady state error to a ramp input r(t) = 4tu(t)

... #### Given the plant Gp(s) =25/s+32 use root locus requirements to design the PI controller G(s)= k(s+u)/s so that the closed loop system has a pole at p= -32+-j25 be sure to find the gain k and zero location.

... #### Given the open loop transfer function, Determine all possible values for gain k that guarantee both a stable closed loop system steady state error<0.05 for a unit ramp inputtu(t)

... #### 0 pts) For the negative unity feedback system where A compensation network is to be added requirements: +40 +9 added to the system to meet the following closed-loop the T, S 1 second (hint T,- a. Based on the requirements, where should the dominant poles be located on the s- located at-am ± plane? (hint: for a second order system the dominant poles are Jod) b. The closed-loop poles of the system are located at-1.25 ± J2.86 at a gain of K 102.47 to meet the = needed: lead, lag or lead-lag? Why? 0.4 requirement. What type of compensator is . c. Th e compensator designer has decided to place the zero of the compensator at e 4.5. What is the required angle of the compensator pole, Pe Where should the pole be located on the real axis? What is the transfer function of the compensator? d. e.

0 pts) For the negative unity feedback system where A compensation network is to be added requirements: +40 +9 added ... #### A motor has transfer function H(s) = 3/s(s+3) show that the open loop step response blows up show that a Pd feedback control G(s) =Kp+KDs can be used to place both closed loop poles at -30 compute Kp and KD

A motor has transfer function H(s) = 3/s(s+3) show that the open loop step response blows up show that a ... #### Find the ramp response for a system whose transfer function is G(s)= s/(s+4)(s+8)

Find the ramp response for a system whose transfer function is G(s)= s/(s+4)(s+8) ... 