Boundary linear-quadratic control for a system of coupled parabolic-hyperbolic PDEs and ODE
| Autor: | Robert E. Hayes, Ilyasse Aksikas, Fraser Forbes, Ahmed Aksikas |
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| Rok vydání: | 2017 |
| Předmět: |
0209 industrial biotechnology
parabolic PDEs State-space representation Semigroup 010102 general mathematics MathematicsofComputing_NUMERICALANALYSIS Ode Boundary (topology) 02 engineering and technology 01 natural sciences Exponential function Riccati equation symbols.namesake 020901 industrial engineering & automation Linear quadratic control Control theory ComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATION symbols eigenvalues problem Applied mathematics Lyapunov equation hyperbolic PDEs 0101 mathematics Mathematics |
| Zdroj: | ASCC |
| DOI: | 10.1109/ascc.2017.8287162 |
| Popis: | The paper deals with the design of a boundary optimal controller for a general model of parabolic-hyperbolic PDEs coupled with an ODE. The augmented infinite-dimensional state space representation has been used in order to solve the control problem. It has been shown that the system generates a C0-semigroup by using the perturbation theorem and then the dynamical properties of the system have been studied. Lyapunov equation has been used to show the exponential stabilizability and detectability of the system. The linear-quadratic control problem has been solved and an algorithm has been developed to solve the corresponding operator Riccati equation. Monolithic catalyst reactor model has been used to test the performances of the developed controller through numerical simulations. 2017 IEEE. Scopus |
| Databáze: | OpenAIRE |
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