Modern Control Systems EKT 308

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Modern Control Systems EKT 308 Tutorial 4 Modern Control Systems EKT 308

Question 1 The engine, body and tires of a racing vehicle affect the acceleration and speed attainable. The speed control of the car is represented by the model shown in figure 1. Calculate the steady-state error of the car to a step command in speed. Calculate overshoot of the speed to a step command. Figure 1: Racing car speed control

Question 2 A unity negative feedback control system has the loop transfer function , Determine the percentage overshoot and settling time (2% settling criterion) due to a unit step input. For what range of K is the settling time less than 0.5 second?

Question 3 Figure 2: RLC circuit