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Example 1 (Rocket): - PowerPoint PPT Presentation


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Example 1 (Rocket):. Newton’s Law:. Or. Dividing by m. (Rocket Position). Let. (Rocket Velocity). In matrix form:. Example 2 (Electric Circuit). Use: Inductor currents capacitor voltages as state variables. Summing current at node (1). (I). (II). KVL for the right most loop. (III).

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Presentation Transcript
slide1

Example 1 (Rocket):

Newton’s Law:

Or

slide2

Dividing by m

(Rocket Position)

Let

(Rocket Velocity)

slide4

Example 2 (Electric Circuit)

Use: Inductor currents capacitor voltages as state variables.

slide5

Summing current at node (1)

(I)

(II)

KVL for the right most loop

(III)

slide9

Example 5:

Find a state space representation for the system

or equivalently,

To get a state space representation, we solve the problem in two steps:

1. Letting

slide11

2.

or