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| Content Provider | IEEE Xplore Digital Library |
|---|---|
| Author | Colombo, A. Del Vecchio, D. |
| Copyright Year | 1963 |
| Abstract | We consider a cooperative conflict resolution problem that finds application, for example, in vehicle intersection crossing. We seek to determine minimally restrictive supervisors, which allow agents to choose all possible control actions that keep the system safe, that is, conflict free. This is achieved by determining the maximal controlled invariant set, and then by determining control actions that keep the system state inside this set. By exploiting the natural monotonicity of the agents dynamics along their paths, we translate this problem into an equivalent scheduling problem. This allows us to leverage existing results in the scheduling literature to obtain both exact and approximate solutions. The approximate algorithms have polynomial complexity and can handle large problems with guaranteed approximation bounds. We illustrate the application of the proposed algorithms through simulations in which vehicles crossing an intersection are overridden by the supervisor only when necessary to maintain safety. |
| Sponsorship | IEEE Control Systems Society |
| Starting Page | 1515 |
| Ending Page | 1527 |
| Page Count | 13 |
| File Size | 845749 |
| File Format | |
| ISSN | 00189286 |
| Volume Number | 60 |
| Issue Number | 6 |
| Language | English |
| Publisher | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Publisher Date | 2015-01-01 |
| Publisher Place | U.S.A. |
| Access Restriction | One Nation One Subscription (ONOS) |
| Rights Holder | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Subject Keyword | Schedules Vehicles Approximation methods Approximation algorithms Vectors Complexity theory Safety intersection Maximal controlled invariant set multi-agent system safety verification scheduling supervisory control collision avoidance Collision avoidance maximal controlled invariant set |
| Content Type | Text |
| Resource Type | Article |
| Subject | Control and Systems Engineering Electrical and Electronic Engineering Computer Science Applications |
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