Authors:
Jean Thomas
;
Didier Dumur
;
Jean Buisson
and
Herve Guéguen
Affiliation:
Supélec, France
Keyword(s):
Hybrid dynamical systems, Mixed Logical Dynamical systems (MLD), Piecewise Affine systems (PWA), Model Predictive Control (MPC)
Related
Ontology
Subjects/Areas/Topics:
Hybrid Dynamical Systems
;
Informatics in Control, Automation and Robotics
;
Signal Processing, Sensors, Systems Modeling and Control
Abstract:
This paper presents the State Partition based Mixed Logical Dynamical (SPMLD) formalism as a new
modeling technique for a class of discrete-time hybrid systems, where the system is defined by different
modes with continuous and logical control inputs and state variables, each model subject to linear
constraints. The reformulation of the predictive strategy for hybrid systems under the SPMLD approach is
then developed. This technique enables to considerably reduce the computation time (with respect to the classical MPC approaches for PWA and MLD models), as a positive feature for real time implementation. This strategy is applied in simulation to the control of a three tanks benchmark.