Category:Frequently Asked Questions

• Introduction FAQ
• System Modeling FAQ
• Examples FAQ
• Dynamic Behavior FAQ

  cont.

• Linear Systems FAQ
• State Feedback FAQ
• Output Feedback FAQ
• Transfer Functions FAQ

  cont.

• Frequency Domain Analysis FAQ
• PID Control FAQ
• Frequency Domain Design FAQ
• Robust Performance FAQ

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• FAQ: Are the percentages in the definition of rise time, overshoot measured from the final value, or the size of the input change?
• FAQ: Are there rigorous ways of determining if it's impossible to meet certain/multiple performance specifications?
• FAQ: Can a control system include a human operator as a component?
• FAQ: Can we get more information about state space formulation?
• FAQ: How can we tell from the phase plots if the system is oscillating?
• FAQ: How do you show that exp(T S inv(T)) = T exp(S) inv(T)?
• FAQ: How does a pole at high frequency prevent PID amplification of high frequency noise?
• FAQ: How does moving a pole at zero to a small value prevent integrator windup?
• FAQ: How is 'open loop' a feedback mechanism?
• FAQ: If I am controlling a second order delay-less plant, it will never give sustained oscillations with P control. Then how do I find the ultimate gain using the Ziegler Nichols method?

F cont.

• FAQ: In equation (6.23), shouldn't the B matrix have omega 0^2?
• FAQ: In Example 5.3, why is the A matrix in the given form?
• FAQ: In Exercise 2.10, what do the variables phi represent?
• FAQ: In Section 6.4 (integral action), doesn't the value of z e depend on K?
• FAQ: In the congestion control model, what does it mean to evaluate r i at time t - tau i?
• FAQ: In the displayed equation after equation (8.3), how can you set x(0), a constant, to a function of s?
• FAQ: In the two compartment model, what does q0 represent?
• FAQ: Is the log in Bode integral formula log 10 or log e ?
• FAQ: Isn't the sensitivity function the same as the function used for steady state error? How are they related?
• FAQ: Should the sum in Bode's integral formula be over the real part of the unstable poles?
• FAQ: Under what conditions is the Bode plot misleading versus the Nyquist plot for stability?
• FAQ: What are the conditions for stability or instability based on the number of zeroes in the RHP?
• FAQ: What are the parameters for the Whipple bicycle model?

F cont.

• FAQ: What do the double vertical bars mean at the end of Section 4.1?
• FAQ: What does it mean for a non-square matrix to be full rank?
• FAQ: What happens if a or L are negative in Zeigler-Nichols PID tuning?
• FAQ: What happens when the Nyquist plot goes exactly through -1?
• FAQ: What is an example of a system with Re(λ)=0 that is not stable? What if Im(λ) is not zero?
• FAQ: What is steady state error?
• FAQ: What is the definition of a system?
• FAQ: Why do the two terms for the rate of change of the congestion control window size in equation (3.16) have different units?
• FAQ: Why does the effective service rate f(x) go to zero when x = 0 in Example 2.10 on queuing systems?
• FAQ: Why is it better to use a lead controller than a PD controller?
• FAQ: Why is the exponential response complex valued? Shouldn't the inputs and outputs of a linear system always be real-valued?

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