Question

An autonomous robot to pick carrot capable of following planting rows has an orientation system with transfer function thetatheta=53.176(4.62 31.281 53.176) make a sketch of theta() in response to theta()=3(). also indicate the Tp,T ,T, %

Answer 1

The question relates to the step response of the transfer function of a robot's orientation system. Without specific parameters or function forms, an exact sketch cannot be provided, but typical second-order system response characteristics such as peak time (Tp), settling time (Ts), and percent overshoot (%OS) can be discussed.

Step-by-step explanation:

The student is asking about the response of an autonomous robot's orientation system to a step input. The transfer function is given as θ(s) = 53.176 / (4.62s^2 + 31.281s + 53.176). When the input to this system is a step function multiplied by three, we expect the step response of the orientation system to scale accordingly. However, without additional information, such as the form of the step function or specific parameters for the time response such as peak time (Tp), settling time (Ts), or percent overshoot (%OS), it's not possible to provide an exact sketch. Typically, the response of such a system can be characterized by an initial rise, a peak, followed by oscillations or a smooth approach to a final value, depending on system damping. Common characteristics for the response of a second-order system include peak time (Tp), which is the time taken to reach the first peak, settling time (Ts), which is the time taken for the response to settle within a certain percentage of the final value, and percent overshoot (%OS), which measures how much the highest peak is over the final steady-state value.