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01.09.2018 | Ausgabe 5/2018

Automatic Control and Computer Sciences 5/2018

Interpolation Model Predictive Control of Nonlinear Systems Described by Quasi-LPV Model

Automatic Control and Computer Sciences > Ausgabe 5/2018
Meng Zhao, Canchen Jiang, Xiaoming Tang, Minghong She
Wichtige Hinweise
The article is published in the original.


This paper investigates the interpolation model predictive control (MPC) algorithm for nonlinear discrete-time systems, which can be represented by affine linear parameter varying (LPV) model. The general nonlinear model is transformed into the quasi-LPV model, then the equivalent polytopic LPV model and disturbed Linear time-invariant (LTI) model are obtained. Therefore, a finite-horizon interpolation MPC algorithm based ellipsoidal invariant set (EIS) is proposed. For comparison, the existing zero-horizon interpolation MPC algorithm, based on EIS, is also described to display the advantages of proposed algorithm. By virtue of the finite-horizon technique, the feasible region of proposed algorithm is much larger than zero-horizon interpolation MPC algorithm. An illustrative example is given to verify the effectiveness of proposed algorithms.

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