One more on Nyquist plots this time for a non-minimum-phase transfer-function with a pole at the origin.
Continue reading “Step-by-step Nyquist plot example. Part III”Discussion
Step-by-step Nyquist plot example. Part II
Second part of our posts on the Nyquist plot. This time with a non-minimum-phase transfer-function.
Continue reading “Step-by-step Nyquist plot example. Part II”Step-by-step Nyquist plot example. Part I
We went over how to sketch straight-line approximations in Bode plots in a series of posts. In this post we continue those examples by going from the Bode plot to a Nyquist plot.
Continue reading “Step-by-step Nyquist plot example. Part I”The “correct” phase of the frequency response
When plotting the phase of a model’s frequency response there will always be ambiguity on representing angles, after all angles are equivalent modulus $2 \pi$. However, when plotting the frequency response in a Bode plot, it is customary to unwrap the phase and display the plot as a curve whose image often spans more than $2 \pi$. In that sense, one should also care about any potential integer multiples of $2 \pi$ shifts of the curve. Yet, I have never seen a discussion on what the “correct” shift should be.
Continue reading “The “correct” phase of the frequency response”Step-by-step Bode plot example. Part IV
We continue our saga of hand sketches of the straight-line approximations for the magnitude and phase of Bode plot diagrams (Section 7.1). This time we consider a non-minimum phase system with a pole at the origin. See Part I, Part II and Part III, for simpler examples.
Continue reading “Step-by-step Bode plot example. Part IV”Step-by-step Bode plot example. Part III
We have gone step-by-step over how to sketch straight-line approximations for the magnitude and phase diagrams of the Bode plot for a simple rational transfer-function. This transfer-function had only left-hand side poles and zeros, that is it was minimum-phase (see Section 7.2). In this post we consider a non-minimum phase transfer-function with a right-hand side zero. See Section 7.1 for details on the approximations.
Continue reading “Step-by-step Bode plot example. Part III”Step-by-step Bode plot example. Part II
In a previous post we have gone step-by-step over how to sketch straight-line approximations for the magnitude diagram of the Bode plot for a simple rational transfer-function. In this post we cover the sketch of the phase diagram. See Section 7.1 for details on the approximations.
Continue reading “Step-by-step Bode plot example. Part II”Step-by-step Bode plot example. Part I
In this post we will go over the process of sketching the straight-line Bode plot approximations for a simple rational transfer-function in a step-by-step fashion. See Section 7.1 for details on the approximations. We will start with the magnitude plot and cover the phase plot in a future post.
Continue reading “Step-by-step Bode plot example. Part I”Aliasing and the brain
I am a long-time subscriber of Wired magazine, which I obviously think is a fine publication otherwise I would no longer be a subscriber, but every now and then there will be some “sciency” article that is misleading. The latest one is here.
Continue reading “Aliasing and the brain”Asymptotic tracking a constant reference without a pole at zero?
On a previous post we have discussed how by invoking stability one can solve problems without having to worry about particular inputs. The contrast between a solution that holds for a particular input versus a solution that holds for a class of inputs is highlighted in the present post by revisiting the problem of asymptotic tracking for a simple example.
Continue reading “Asymptotic tracking a constant reference without a pole at zero?”