Constrained control and estimation of homogeneous reaction systems using extent-based Linear Parameter Varying models

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In this paper, a model predictive control (MPC) strategy for nonlinear homogeneous reaction systems is proposed. The nonlinear system is first transformed to a linear parameter varying (LPV) system by means of a linear transformation known as extents decomposition. The resulting LPV system is further converted to a linear time invariant (LTI) system by means of a parametric state feedback and feedforward control laws. The use of this description results in linear MPC with a quadratic performance index and nonlinear state parameter constraints. However, based on the polytopic nature of the parameter of the LPV systems, the constraints are transformed to a set of intersected polyhedrons. The final result is a linear MPC problem with linear constraints that can be easily converted and solved as a quadratic programming problem. Finally, the performance of the control strategy is illustrated in simulation and compared with a controller based on a constant-parameter LTI model.
Originele taal-2Engels
Pagina's (van-tot)2242-2251
Aantal pagina's10
TijdschriftIndustrial and Engineering Chemistry Research
Volume59
Nummer van het tijdschrift6
DOI's
StatusGepubliceerd - 12 feb 2020

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