Abstract
This work proposes for the first time a model reference adaptive asymptotic tracking method for a class of uncertain switched linear systems with nonnegative orthant state constraints and dwell time switching. In contrast with the state-of-the-art switched adaptive methods, the main characteristic of this method consists in guaranteeing that the systems states remain in the nonnegative orthant of the state space. To achieve asymptotic tracking, an interpolated Lyapunov function is adopted. To ensure the positivity of the system states, a parameter projection law is needed, because some knowledge of the bounds of the parameter estimates is required to guarantee that the closed-loop system is a switched positive system. A benchmark traffic flow example (a switched positive linear system commonly used in literature) is adopted to verify the effectiveness of the proposed approach.
Original language | English |
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Title of host publication | Proceedings of the 38th Chinese Control Conference (CCC 2019) |
Editors | Minyue Fu, Jian Sun |
Place of Publication | Piscataway, NJ, USA |
Publisher | IEEE |
Pages | 633-638 |
ISBN (Electronic) | 9789881563972 |
DOIs | |
Publication status | Published - 2019 |
Event | 38th Chinese Control Conference, CCC 2019 - Guangzhou, China Duration: 27 Jul 2019 → 30 Jul 2019 |
Conference
Conference | 38th Chinese Control Conference, CCC 2019 |
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Country/Territory | China |
City | Guangzhou |
Period | 27/07/19 → 30/07/19 |
Keywords
- Dwell-time
- Model reference adaptive control
- Nonnegative orthant state constraints
- Switched positive linear systems