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LvW said:Most important: Show the following three functions in one diagram: f(x), g(x) and h(x)=f(x)-g(x),
What is the proper way of doing it then? Isn't the difference f(x)-g(x) supposed to be delayed by 90 deg when it passes the loop?willem2 said:Starting with the calculation for h_{1} you actually apply a phase lag of 180 degrees. The period of the signal is π so h(x-π/2) will lag h(x) by half a period.
If you want that, you should use a delay of a quarter of the full period, so you must use h_{1}(x) = h(x-π/4). Your calculation of g(x) is still correct because sin (2x - π/2) = sin (2 (x-π/4)) so you have the correct delay there.paulmdrdo said:What is the proper way of doing it then? Isn't the difference f(x)-g(x) supposed to be delayed by 90 deg when it passes the loop?
One problem with Spice simulations is that the frequency response may look good, but the circuit will be unstable in the time domain. It is easy to get it wrong if it becomes non-linear.Tom.G said:This approach uses a circuit simulator such as the free LTSpice. The advantage of such a simulator is that it uses circuit components and automatically handles the appropriate equations based on the components used.
When the input signal is a unit phasor.Tom.G said:Increase the amplifier gain, G, to 1,000,000
paulmdrdo said:Summary:: Trying to make sense of the stability of a negative feedback
Negative feedback stability is a concept in control systems where the output of a system is used to adjust the input in order to maintain a desired level of performance. This feedback loop ensures that the system remains stable and does not deviate too far from the desired output.
Negative feedback stability works by continuously monitoring the output of a system and comparing it to a desired setpoint. If the output deviates from the setpoint, the feedback loop will adjust the input to bring the output back to the desired level. This process repeats continuously to maintain stability.
Negative feedback stability helps to improve the performance and accuracy of a system. It also helps to reduce the effects of disturbances or changes in the system, making it more robust and reliable. Additionally, negative feedback stability can help to prevent oscillations or instability in a system.
Negative feedback stability is commonly used in various control systems, such as thermostats for temperature control, cruise control in cars, and automatic voltage regulators in power systems. It is also used in biological systems, such as the regulation of body temperature and blood sugar levels.
To improve negative feedback stability, the feedback loop can be designed to have a faster response time, reduce the amount of noise or disturbances in the system, and adjust the gain or sensitivity of the feedback loop. Using more advanced control algorithms and sensors can also help to improve negative feedback stability.