✦ LIBER ✦
On the existence of constant-ratio trajectories in nominally time- optimal control systems subject to parameter variation
✍ Scribed by A.T. Fuller; A.S.I. Zinober
- Publisher
- Elsevier Science
- Year
- 1977
- Tongue
- English
- Weight
- 690 KB
- Volume
- 303
- Category
- Article
- ISSN
- 0016-0032
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✦ Synopsis
In a previous paper it was found that certain control systems with nominally time-optimal feedback controllers are highly sensitive to changes of plant parameter. When the plant consists of several pure integrators, changes of plant parameter can cause what are termed constant-ratio trajectories. Such trajectories yield slow settling, or even instability. The previous paper used, in part, computational methods to show the existence of constant-ratio trajectories. In the present paper some simple conditions are shown to be sufficient for existence of the constant-ratio trajectories.