Nonlinear Bilateral Full-State Feedback Trajectory Tracking for a Class of Viscous Hamilton-Jacobi PDEs
| العنوان: | Nonlinear Bilateral Full-State Feedback Trajectory Tracking for a Class of Viscous Hamilton-Jacobi PDEs |
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| المؤلفون: | Nikolaos Bekiaris-Liberis, Rafael Vazquez |
| المصدر: | CDC 2018 IEEE Conference on Decision and Control (CDC) |
| بيانات النشر: | IEEE, 2018. |
| سنة النشر: | 2018 |
| مصطلحات موضوعية: | Distributed parameter system, 0209 industrial biotechnology, Computer science, Tracking, 010102 general mathematics, Feed forward, Boundary (topology), 02 engineering and technology, 01 natural sciences, Hamilton–Jacobi equation, Nonlinear system, Viscosity, 020901 industrial engineering & automation, Transformation (function), Backstepping, Control theory, Full state feedback, Trajectory, Feedback linearization, 0101 mathematics |
| الوصف: | Nikolaos Bekiaris-Liberis was supported by the funding from the European Commission’s Horizon 2020 research and innovation programme under the Marie Sklodowska-Curie grant agreement No. 747898, project PADECOT. Rafael Vazquez acknowledges financial support of the Spanish Ministerio de Economia y Competitividad under grant MTM2015-65608-P. Summarization: We tackle the boundary control problem for a class of viscous Hamilton-Jacobi PDEs, considering bilateral actuation, i.e., at the two boundaries of a 1-D spatial domain. First, we solve the nonlinear trajectory generation problem for this type of PDEs, providing the necessary feedforward actions at both boundaries. Second, in order to guarantee trajectory tracking with an arbitrary decay rate, we construct nonlinear, full-state feedback laws employed at the two boundary ends. All of our designs are explicit since they are constructed interlacing a feedback linearizing transformation (which we introduce) with backstepping. Due to the fact that the linearizing transformation is locally invertible, only regional stability results are established, which are, nevertheless, accompanied with region of attraction estimates. Our stability proofs are based on the utilization of the linearizing transformation together with the employment of backstepping transformations, suitably formulated to handle the case of bilateral actuation. We illustrate the developed methodologies via application to traffic flow control and we present consistent simulation results. Presented on |
| وصف الملف: | application/pdf |
| ردمك: | 978-1-5386-1395-5 |
| DOI: | 10.1109/cdc.2018.8619363 |
| URL الوصول: | https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9109c6424e2c3ee18f1c4caa8b5de218 https://doi.org/10.1109/cdc.2018.8619363 |
| Rights: | OPEN |
| رقم الانضمام: | edsair.doi.dedup.....9109c6424e2c3ee18f1c4caa8b5de218 |
| قاعدة البيانات: | OpenAIRE |
| ردمك: | 9781538613955 |
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| DOI: | 10.1109/cdc.2018.8619363 |