Robust stability evaluation of sampled-data control systems with a sector nonlinearity in a gain-phase plane
✍ Scribed by Yoshifumi Okuyama; Fumiaki Takemori
- Publisher
- John Wiley and Sons
- Year
- 1999
- Tongue
- English
- Weight
- 179 KB
- Volume
- 9
- Category
- Article
- ISSN
- 1049-8923
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✦ Synopsis
This paper describes a graphical evaluation of the robust stability in a frequency domain based on the results from our previous paper in which the extension of Popov's criterion to discrete-time systems was expressed in an explicit form. The control system described herein is a sampled-data control system with one time-invariant nonlinear element (sector nonlinearity) in the forward path. For the purpose of application to a computer-aided control system design (CACSD), we will present an evaluation method of the robust stability in connection with the size of sector nonlinearity and the gain margin on a gain-phase diagram (i.e. a modified Nichols chart). We will show two results as numerical examples: one where Aizerman's conjecture was approved, and one where it was not.