Could someone help me with ** PART III ONLY **
I'm not sure how to derive the state space representation for the
difference equation from part 2. I'm going to
include my part of my result from
part 2. If anyone can assist with Part 3 and
explain how you solved it, it would be a big
help! PLEASE DO NOT COPY AND PASTE AN ANSWER FROM
SOMEONE WHO ASKED A SIMILAR PROBLEM, this is my
second time asking the same
question and I don't want a
result copied from another
question ( I could search for it on
my own if that was the case and not waste a
question )
- Could Someone Help Me With Part Iii Only I M Not Sure How To Derive The State Space Representation For The Differe 1 (179.69 KiB) Viewed 52 times
Problem #3 Part I (a) Find the transfer function description associated with the following difference equation. This difference equation could be associated with the dynamics of a servomotor that has been sampled to produce a discrete-time difference equation. y[n] – 1.905y[n – 1] +0.9048y[n – 2] = 0.04837u[n – 1] +0.04679u[n – 2] (b) Find the poles and zeroes of the transfer function found in part (a) and comment on the stability of this open-loop system. Part II Suppose constant output feedback is applied to the system in Part I. That is let U(z) = R(2) - Y(2), where R(z) is a reference input that will be applied to the closed-loop system. (a) Find the transfer function between the reference input, R(2), and the output signal, Y(2). (b) Find the poles and zeroes of this closed-loop transfer function and comment on the stability of the closed-loop system. Part III Derive a state space representation for the difference equation in Part II. Notice that this difference equation also contains delays in the input terms. Even with the delays in the input terms, the state space representation is still only second order. Thus, if one draws a block diagram representation with the smallest number of delay blocks, then the block diagram will only contain two delay blocks.