Plot Nyquist Didactic

版本 2.2.0 (58.6 KB) 作者: fhz
A very simple function to understand Cauchy's argument principle and Nyquist Stability Criterion with 4 preprogrammed contours.
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338.0 次下载
更新 2023/4/1

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A didactic plot to understand and to present the Cauchy's argument principle (complex Mapping Theorem) and the Nyquist Stability Criterion.
The are four preprogrammed contours given by the variable "op".
'ret'; pts = [x0,y0, x1,y1]; % The vertices of a rectangle
'circle'; pts = [R, xc,yc]; % The radius and center of a circle
'ny_base'; pts = [R, xc,yc]; % The radius of a right semicircle and its center
'ny_desv'; pts = [R, xc,yc, epsilon]; % 'nybase' with a semicircle detour of radius epsilon.
'ny_desv_neg'; pts = [R, xc,yc, epsilon]; % 'ny_desv' through the left half complex plane.
Each preprogrammed contour is presented in four different colors and linestyles, enabling a fast understanding of the direction of the contour and the relationship between the contour in the s-plane and transformed one in the F(s)-plane.
Two possible animations:
1 - Both paths are drawn at the same time.
2 - After plotting the contour and the transformed contour, it is possible to run an animation of a point moving around both paths.
Update 2.0.0
Minor erros on axis during animations corrected.
Change from a step-size-based path construction to a number-of-elements based construction.
Update 2.1.0
Animated comparison of Nyquist, Bode and Nichols plots.
fc_lib_animate_pt_xy_without_sobrepo_sub_BodeNyqNich
fc_lib_animate_pt_xy_without_sobrepo_sub_BodeNyquist
A future release might contain an interative interface with those plots.
Update 2.2.0
Add 'ny_desv_neg', which does the nyquist contour with a detour on the left half of the complex plane.

引用格式

fhz (2026). Plot Nyquist Didactic (https://ww2.mathworks.cn/matlabcentral/fileexchange/73829-plot-nyquist-didactic), MATLAB Central File Exchange. 检索时间: .

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2.2.0

Add 'ny_desv_neg', which does the Nyquist contour with a detour on the left half of the complex plane.

2.1.0

Added animations with Bode and Nichols plots.
2.0.0

Minor erros on axis during animations corrected.
Change from a step-size-based path construction to a number-of-elements based construction.
1.1.0

- Created a new function with an animation and also another kind of animation showing a marker moving around both paths.
- Updated outputs of the function.
- Changed standard of figure usage.
1.0.0