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Lecture 9 Me 176 Reduction Of Multiple Sub

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Lecture 9 Me 176 Reduction Of Multiple Sub

1. 1. ME 176 Control Systems Engineering Reduction of Multiple Subsystems Department of Mechanical Engineering
2. 2. Block Diagrams: Elements: Department of Mechanical Engineering
3. 3. Block Diagrams: Topologies Cascade Form: Department of Mechanical Engineering
4. 4. Block Diagrams: Topologies Cascade Form: Exception: Assumption that the interconnected subsystems do not load adjacent subsystems. Use K (amplifier), it has high-impedance input so it does not load previus network. And has low impedance output so it looks like a pure voltage source to subsequent networks Department of Mechanical Engineering
5. 5. Block Diagrams: Topologies Parallel Form: Department of Mechanical Engineering
6. 6. Block Diagrams: Topologies Feedback Form: Department of Mechanical Engineering
7. 7. Block Diagrams: Moving Blocks Algebra for Summing Junctions: Department of Mechanical Engineering
8. 8. Block Diagrams: Moving Blocks Algebra for Pickoff Points: Department of Mechanical Engineering
9. 9. Block Diagrams: Example Steps: a) Collapse suming junction. b) Form equivalent cascade system in the forward and feedback paths. c) Form equivalent feedback system and multiply by cascaded G1(s). Department of Mechanical Engineering
10. 10. Block Diagrams: Example Move G2(s) to the left past pickoff point to create parallel subsystems. Reduce feedback system consisting of G3(s) and H3(s). Department of Mechanical Engineering
11. 11. Block Diagrams: Example Reduce parallel pair of 1/G2(s) and unity. Push G1(s) past right summing junction. Department of Mechanical Engineering
12. 12. Block Diagrams: Example Collapse summing junction and two feedback elements. Combine last two cascade blocks. Department of Mechanical Engineering
13. 13. Block Diagrams: Example Reduce the remaining feedback system. Combine last two cascade blocks. Department of Mechanical Engineering
14. 14. Analysis and Design of Feedback Systems: Department of Mechanical Engineering
15. 15. Analysis and Design of Feedback Systems: Department of Mechanical Engineering