Boundary optimal (LQ) control of coupled hyperbolic PDEs and ODEs
This contribution addresses the development of a linear quadratic (LQ) regulator for a set of hyperbolic PDEs coupled with a set of ODEs through the boundary. The approach is based on an infinite-dimensional Hilbert state-space description of the system and the well-known operator Riccati equation (...
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| Veröffentlicht in: | Automatica (Oxford) 2013-02, Vol.49 (2), p.526-533 |
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| container_title | Automatica (Oxford) |
| container_volume | 49 |
| creator | Alizadeh Moghadam, Amir Aksikas, Ilyasse Dubljevic, Stevan Forbes, J. Fraser |
| description | This contribution addresses the development of a linear quadratic (LQ) regulator for a set of hyperbolic PDEs coupled with a set of ODEs through the boundary. The approach is based on an infinite-dimensional Hilbert state-space description of the system and the well-known operator Riccati equation (ORE). In order to solve the optimal control problem, the ORE is converted to a set of matrix Riccati equations. The feedback operator is found by solving the resulting matrix Riccati equations. The performance of the designed control policy is assessed by applying it to a system of interconnected continuous stirred tank reactor (CSTR) and a plug flow reactor (PFR) through a numerical simulation. |
| doi_str_mv | 10.1016/j.automatica.2012.11.016 |
| format | Article |
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| ispartof | Automatica (Oxford), 2013-02, Vol.49 (2), p.526-533 |
| issn | 0005-1098 1873-2836 |
| language | eng |
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| source | Elsevier ScienceDirect Journals Complete |
| subjects | Applied sciences Boundaries Boundary control system Chemical engineering Composite distributed and lumped parameter system (DPS–LPS) Computer science control theory systems Control system synthesis Control systems Control theory. Systems CSTR–PFR in series Exact sciences and technology Hyperbolic PDEs Infinite-dimensional system LQ control Metrology, automation Modelling and identification Operators Optimal control Partial differential equations Policies Reactors Riccati equation Tanks |
| title | Boundary optimal (LQ) control of coupled hyperbolic PDEs and ODEs |
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