Abstract
In order to study the stability of longitudinal following control system of vehicle in automated highway system, the following errors of vehicles were analyzed, a mathematic model of infinite-dimensional nonlinear interconnected large-scale system with delays was constructed, and the stability of the system was studied by applying vector Liapunov function. Under the assumption that the system satisfied holistic Lipschitz condition, the stability conditions of isolated subsystems decomposed from the large-scale system were regarded as base, and a sufficient condition of exponential stability on the large-scale system was obtained. Since the criterion is explicit and independent of the delays, it is easy to be applied in the design of longitudinal vehicle following controllers. 13 refs.
| Original language | English |
|---|---|
| Pages (from-to) | 89-92 |
| Number of pages | 4 |
| Journal | Jiaotong Yunshu Gongcheng Xuebao/Journal of Traffic and Transportation Engineering |
| Volume | 7 |
| Issue number | 4 |
| State | Published - Aug 2007 |
| Externally published | Yes |
Keywords
- Automated vehicle following system
- Exponential stability
- Time delays
- Traffic control
- Vector Liapunov function
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