Funnel control for boundary control systems
| Autor: | Timo Reis, Felix L. Schwenninger, Marc Puche |
|---|---|
| Přispěvatelé: | Mathematical Systems Theory, Digital Society Institute |
| Rok vydání: | 2021 |
| Předmět: |
Control and Optimization
business.product_category Hyperbolic PDEs MathematicsofComputing_NUMERICALANALYSIS Boundary (topology) Dissipative operator 01 natural sciences Signal Mathematics - Analysis of PDEs Control theory FOS: Mathematics Uniqueness 0101 mathematics Mathematics - Optimization and Control Mathematics Dissipative operators Applied Mathematics 010102 general mathematics Boundary control systems Parabolic PDEs Parabolic partial differential equation Primary: 93C20 93C40 Secondary: 47H06 010101 applied mathematics Nonlinear feedback Nonlinear system Optimization and Control (math.OC) Funnel control Modeling and Simulation Control system Funnel business Analysis of PDEs (math.AP) |
| Zdroj: | Evolution equations and control theory, 10(3), 519-544. American Institute of Mathematical Sciences |
| ISSN: | 2163-2480 2163-2472 |
| Popis: | We study a nonlinear, non-autonomous feedback controller applied to boundary control systems. Our aim is to track a given reference signal with prescribed performance. Existence and uniqueness of solutions to the resulting closed-loop system is proved by using nonlinear operator theory. We apply our results to both hyperbolic and parabolic equations. Comment: 26 pages, thoroughly revised version. The system class has been generalized considerably. Added general example class of parabolic problems |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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