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Modeling #4 - The Cab Control Problem

Dive into the Cab Control Problem with a focus on algorithms, difference equations, and simulation techniques to ensure stability. This comprehensive guide covers various modeling aspects and delves into tasks that involve positioning, velocity, and acceleration notation for effective control. Explore a detailed block diagram illustrating the overall approach to managing the dynamics of multiple cabs in motion.

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Modeling #4 - The Cab Control Problem

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  1. Modeling #4 - The Cab Control Problem 1. Begin with the end in mind • Algorithms • Difference Equations • Simulation • Stability

  2. Modeling - The Cab Control Problem 2. Task #1 (part 1)

  3. Modeling - The Cab Control Problem

  4. Modeling - The Cab Control Problem

  5. Modeling - The Cab Control Problem

  6. Modeling - The Cab Control Problem 3. Task #1 (part 2)

  7. Modeling - The Cab Control Problem 4. Task #1 (part 3)

  8. Modeling - The Cab Control Problem 5. Task #2 (part 1) We need a notation to accomodate the position, velocity, and acceleration of the two cars in this model. Let’s use the following: Cab A (leading cab) Cab B (following cab) yn - position vn - velocity an - acceleration xn - position un - velocity an - acceleration

  9. Modeling - The Cab Control Problem A block diagram of the overall approach might look like: Cab Following Algorithm position of cab A position of cab B position difference between cabs velocity of cab A velocity of cab B velocity difference between cabs acceleration of cab B

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