For the system in Part 1, consider the state variables v 1 (t) = y(t) v 2
Question:
For the system in Part 1, consider the state variables
v1(t) = y(t) v2(t)=ẏ(t) + y(t) − x(t)
(a) Obtain the matrix A2 and the vectors b2 and cT2 for the state and the output equations that realize the ordinary differential equation in Part 1.
(b) Draw a block diagram for the state variables and output realization.
(c) How do A2, b2, and cT2 obtained above compare with the ones in Part 1?
(d) In the block diagram in Part 1, change the summers into nodes, and the nodes into summers, invert the direction of all the arrows, and interchange x(t) and y(t), i.e., make the input and output of the previous diagram into the output and the input of the diagram in this part. This is the dual of the block diagram in Part 1. How does it compare to your block diagram obtained in item (b)? How do you explain the duality?
Step by Step Answer:
a Using the given state variables we have v 1 t yt v 2 t v 1 ...View the full answer
