Classical Feedback Control with Nonlinear Multi-Loop Systems by Lurie Boris J.; Enright Paul;

Author:Lurie, Boris J.; Enright, Paul;
Language: eng
Format: epub
Publisher: Taylor & Francis Group

FIGURE 7.42

Examples of dynamic systems.

FIGURE 7.43

Examples of feedback amplifiers.

FIGURE 7.44

Examples of mechanical feedback systems.

Answers to Selected Problems

1. Since power losses in good motors are small, we can directly relate mechanical variables at one port to electrical variables at the opposite port, and the two-port output impedance is nearly proportional to the output impedance of the preceding link, and its input impedance is nearly proportional to the input impedance of the following link.

2a. Three angles (three degrees of freedom) and three torques.

7. The diagram is shown in Figure 7.45. The collector temperature must be below a certain specified temperature. When one is calculating the average collector temperature, thermal capacitances of the case and heat sink can be neglected, but they need to be taken into account when calculating the collector temperature during power bursts. The nonlinear resistance of radiation and convection cooling of the heat sink is depicted by a nonlinear power source that can be specified in SPICE by the required mathematical expression.

14a. The input impedance is Z o = R 2, T(0) = 0, T(∞) = 10,000, Z ≈ R 2/10,000.

27a. The zeros and poles alternate; therefore, this function can be a driving point impedance.

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