Virtual Labs

Determine the Pulse Transfer Function and State Space Model of the DC Motor

Q1. What does the Pulse Transfer Function relate in discrete systems?

a: It relates the output to the input in the continuous-time domain. Explanation

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b: It relates the output to the input in the discrete-time domain. Explanation

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c: It defines the relationship between input and output in the frequency domain. Explanation

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d: It is only used in continuous systems. Explanation

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Q2. Which of the following is the primary purpose of the Pulse Transfer Function?

a: To describe the system behaviour in the time domain. Explanation

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b: To determine the system's stability in the continuous-time domain. Explanation

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c: To model the dynamics of a discrete-time system. Explanation

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d: To convert continuous systems to discrete systems. Explanation

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Q3. The region of convergence (ROC) of a discrete-time system’s Pulse Transfer Function determines:

a: The frequency response of the system. Explanation

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b: The input-output relationship of the system. Explanation

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c: The impulse response of the system. Explanation

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d: The stability of the system. Explanation

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Q4. What is the primary advantage of representing a discrete-time system in state-space form?

a: It is easier to compute the system’s transfer function. Explanation

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b: It allows for easy representation of multi-input, multi-output (MIMO) systems. Explanation

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c: It provides a frequency-domain representation. Explanation

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d: It is simpler than transfer function modelling. Explanation

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Q5. In the z-domain, the poles of the Pulse Transfer Function are important for:

a: Defining the system's stability and behaviour. Explanation

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b: Determining the system's time-domain response. Explanation

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c: Finding the system's frequency response. Explanation

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d: Designing the input signal for the system. Explanation

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