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# Lecture 9 Me 176 Reduction Of Multiple Sub

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• 1. ME 176 Control Systems Engineering Reduction of Multiple Subsystems Department of Mechanical Engineering
• 2. Block Diagrams: Elements: Department of Mechanical Engineering
• 3. Block Diagrams: Topologies Cascade Form: Department of Mechanical Engineering
• 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. Block Diagrams: Topologies Parallel Form: Department of Mechanical Engineering
• 6. Block Diagrams: Topologies Feedback Form: Department of Mechanical Engineering
• 7. Block Diagrams: Moving Blocks Algebra for Summing Junctions: Department of Mechanical Engineering
• 8. Block Diagrams: Moving Blocks Algebra for Pickoff Points: Department of Mechanical Engineering
• 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. 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. Block Diagrams: Example Reduce parallel pair of 1/G2(s) and unity. Push G1(s) past right summing junction. Department of Mechanical Engineering
• 12. Block Diagrams: Example Collapse summing junction and two feedback elements. Combine last two cascade blocks. Department of Mechanical Engineering
• 13. Block Diagrams: Example Reduce the remaining feedback system. Combine last two cascade blocks. Department of Mechanical Engineering
• 14. Analysis and Design of Feedback Systems: Department of Mechanical Engineering
• 15. Analysis and Design of Feedback Systems: Department of Mechanical Engineering