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Example 1 (Rocket):

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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Example 1 (Rocket):

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  1. Example 1 (Rocket): Newton’s Law: Or

  2. Dividing by m (Rocket Position) Let (Rocket Velocity)

  3. In matrix form:

  4. Example 2 (Electric Circuit) Use: Inductor currents capacitor voltages as state variables.

  5. Summing current at node (1) (I) (II) KVL for the right most loop (III)

  6. In matrix form:

  7. Example 4

  8. 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

  9. We obtain a state space description with as output: or

  10. 2. or

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