Question

Problem 2 (30 points): A system has the following differential equations $\ddot{y} + 3\dot{y} + \dot{y} + 8y = u_1 + 2u_2 + 3u_3$ 1. Draw a state diagram (indicate initial conditions in the diagram). 2. Derive the state space model with the three inputs $u_1, u_2 \text{and } u_3$, and the output y.

          Problem 2 (30 points): A system has the following differential equations
$\ddot{y} + 3\dot{y} + \dot{y} + 8y = u_1 + 2u_2 + 3u_3$
1. Draw a state diagram (indicate initial conditions in the diagram).
2. Derive the state space model with the three inputs $u_1, u_2 \text{and } u_3$, and the output y.

Problem 2 (30 points): A system has the following differential equations
ÿ + 3ẏ + ẏ + 8y = u1 + 2u2 + 3u3
1. Draw a state diagram (indicate initial conditions in the diagram).
2. Derive the state space model with the three inputs u1, u2 and u3, and the output y.

Added by Michael J.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Adi S

Step 1

Draw a state diagram: To draw a state diagram, we need to define the state variables. In this case, let's define the state variables as x1 = y, x2 = y'. The state diagram will have two state variables x1 and x2. The input u will directly affect the state Show more…

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Problem 2 (30 points): A system has the following differential equations y'' + 3y' + y + 8y = u + 2u' + 3u'' 1. Draw a state diagram (indicate initial conditions in the diagram). 2. Derive the state space model with the three inputs u, u', and u'' and the output y.