New robust stable MPC using linear matrix inequalities



Título del documento: New robust stable MPC using linear matrix inequalities
Revista: Brazilian journal of chemical engineering
Base de datos: PERIÓDICA
Número de sistema: 000308737
ISSN: 0104-6632
Autores: 1
Instituciones: 1Universidade de Sao Paulo, Departamento de Engenharia Quimica, Sao Paulo. Brasil
Año:
Periodo: Mar
Volumen: 17
Número: 1
Paginación: 51-69
País: Brasil
Idioma: Inglés
Tipo de documento: Artículo
Enfoque: Experimental, aplicado
Resumen en inglés This paper addresses the stability of Model Predictive Control (MPC) with output feedback. The proposed controller uses a new state-space formulation of the system, and the control problem is presented as an LMI optimization problem. The stability condition for the closed loop is included as a Lyapunov inequality. The resulting optimization problem becomes nonlinear with the inclusion of the stabilizing condition. A suboptimal solution is developed and the problem reduces to a pair of coupled LMI problems. An iterative solution that converges to a stable output feedback gain is proposed. A polytopic set of process models can be considered. A simulation example is included in the paper and shows that the proposed strategy eliminates the usual practice of enforcing robustness by detuning the MP controller
Disciplinas: Química
Palabras clave: Ingeniería química,
Modelo de control predictivo,
Retroalimentación de salida,
Estabilidad robusta
Keyword: Chemistry,
Chemical engineering,
Model predictive control,
Output feedback,
Robust stability
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