Stabilization of an ODE-PDE cascaded system by boundary control
| Autor: | Xinglan Liu, Chengkang Xie, Yuan Lei |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
0209 industrial biotechnology
Computer Networks and Communications Computer science Applied Mathematics Computation 020208 electrical & electronic engineering MathematicsofComputing_NUMERICALANALYSIS Ode Boundary (topology) 02 engineering and technology Stability (probability) Set (abstract data type) 020901 industrial engineering & automation Control and Systems Engineering Control theory Backstepping ComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATION Signal Processing 0202 electrical engineering electronic engineering information engineering Heat equation Rate of heat flow |
| Zdroj: | Journal of the Franklin Institute. 357:9248-9267 |
| ISSN: | 0016-0032 |
| DOI: | 10.1016/j.jfranklin.2020.07.007 |
| Popis: | Stabilization of an ODE-PDE cascaded system is considered in this paper. The PDE subsystem consists of a system of heat equations, and a control input is set on a boundary. The ODE subsystem is a normal control system cascaded with the PDE subsystem at another boundary, in which its control input is the heat flow rate of the PDE subsystem at this boundary. A boundary control law is constructed by PDE backstepping procedure and lots of complicated mathematical computations. Experiential stability of the closed loop is achieved under this control law. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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