The system function of a causal system is given below. H(s) = =11 a) (2) Sketch...

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The system function of a causal system is given below. H(s) = П=11 a) (2) Sketch the pole-zero plot. Show important values. b) (2) Specify the ROC. Briefly explain your answer. c) (1) What is the type of this filer (lowpass, highpass or bandpass)? d) (1) Specify the cutoff frequency/frequencies in rad/s. 1 H(s) = + S j50 e¹ For simple inverted pendulum, the system function relating the output incline angle 0 as response to horizontal disturbance force fis P(s) = 1/ML. Note that the gravitational constant g is 9.8 m/sec/sec. s². e) (2) Is the system causal and stable ? Briefly Explain your answer. We have shown that the system function for an inverted pendulum with proportional and derivative feedback (PD feedback) is K₂ ML (2k-1)π 10 1/ML K₁ 1 s + (M/L - 2) Assume that for a particular system, K₁ and K₂ have been set such that the system is critically damped. Now, the length of the pendulum L is doubled, and the constant K₁ remains unchanged. f) (2) How should we change K₂ so that the system would remain critically damped? Briefly explained your answer. The system function of a causal system is given below. H(s) = П=11 a) (2) Sketch the pole-zero plot. Show important values. b) (2) Specify the ROC. Briefly explain your answer. c) (1) What is the type of this filer (lowpass, highpass or bandpass)? d) (1) Specify the cutoff frequency/frequencies in rad/s. 1 H(s) = + S j50 e¹ For simple inverted pendulum, the system function relating the output incline angle 0 as response to horizontal disturbance force fis P(s) = 1/ML. Note that the gravitational constant g is 9.8 m/sec/sec. s². e) (2) Is the system causal and stable ? Briefly Explain your answer. We have shown that the system function for an inverted pendulum with proportional and derivative feedback (PD feedback) is K₂ ML (2k-1)π 10 1/ML K₁ 1 s + (M/L - 2) Assume that for a particular system, K₁ and K₂ have been set such that the system is critically damped. Now, the length of the pendulum L is doubled, and the constant K₁ remains unchanged. f) (2) How should we change K₂ so that the system would remain critically damped? Briefly explained your answer.

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a The polezero plot for the given system function is as follows There is a pole at s 0 Th... View the full answer