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E
Exercise: Exploring the dynamics of a rolling mill
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Introduction
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Q
Question: Can a control system include a human operator as a component?
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Introduction
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F
Figure 5.3: Phase portraits
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Dynamic Behavior
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Figure 5.4: Equilibrium points for an inverted pendulum
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Dynamic Behavior
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Figure 5.5: Phase portrait and time domain simulation for a system with a limit cycle
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Dynamic Behavior
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Figure 5.6: Illustration of Lyapunov’s concept of a stable solution
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Dynamic Behavior
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Figure 5.7: Phase portrait and time domain simulation for a system with a single stable equilibrium point
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Dynamic Behavior
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L
Lecture: Introduction to Feedback and Control (Caltech, Spring 2024)
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Introduction
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F
Figure 5.8: Phase portrait and time domain simulation for a system with a single asymptotically stable equilibrium point
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Dynamic Behavior
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Figure 5.9: Phase portrait and time domain simulation for a system with a single unstable equilibrium point
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Dynamic Behavior
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Figure 5.10: Phase portraits for a congestion control protocol running with N = 60 identical source computers
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Dynamic Behavior
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Figure 5.11: Comparison between phase portraits for a nonlinear system and its linearization
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Dynamic Behavior
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Figure 6.1: Superposition of homogeneous and particular solutions
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Linear Systems
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Figure 6.5: Modes for a second-order system with real eigenvalues
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Linear Systems
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Figure 6.14: Linear versus nonlinear response for a vehicle with PI cruise control
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Linear Systems
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E
Errata: C matrix in Example 8.7 (vectored thrust aircraft) is incorrect
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Output Feedback
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Errata: feedforward term in control law for Example 7.5 is missing Le term
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State Feedback
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F
Figure 5.12: Stability analysis for a tanker
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Dynamic Behavior
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Figure 5.13: Solution curves for a stable limit cycle
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Dynamic Behavior
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Figure 5.15: Stability of a genetic switch
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Dynamic Behavior
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