Abstract
In this paper, a variable speed limit controller is proposed to ensure integral input-to-state stability of the traffic state by using saturated feedback. The ordinary differential equations model of traffic flow is used with a two-phase fundamental diagram to design the controller. A common Lyapunov function is found for both phases which ensures the integral input-to-state stability of the closed-loop system. Proposed controller is tested with numerical examples to show the robustness properties particularly bounded energy frequently bounded state and bounded energy weakly converging state which are the characterizations of the integral input-to-state stability.
Original language | English |
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Pages (from-to) | 31-36 |
Number of pages | 6 |
Journal | IFAC-PapersOnLine |
Volume | 54 |
Issue number | 2 |
DOIs | |
Publication status | Published - 2021 |
Event | 16th IFAC Symposium on Control in Transportation Systems CTS 2021 - Lille, France Duration: 8 Jun 2021 → 10 Jun 2021 |
Bibliographical note
Publisher Copyright:© 2021 The Authors.
Keywords
- integral input-to-state stability
- intelligent transportation systems
- switched systems
- variable speed limit