## Abstract

For linear systems with integer inputs, the model predictive control problem with output reference tracking is formulated as an integer least-squares (ILS) problem. The ILS problem is solved using a modified sphere decoding algorithm, which is a particular branch-and-bound method. To reduce the computational complexity of the sphere decoder, a reduction algorithm is added as a preprocessing stage to reshape the search space in which the integer solution lies. The computational complexity of the proposed algorithm is modest, enabling its implementation in a real-time system even when considering long prediction horizons. A variable-speed drive system with a three-level voltage source inverter serves as an illustrative example to demonstrate the effectiveness of the proposed algorithm.

Original language | English |
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Pages (from-to) | 1463-1471 |

Number of pages | 9 |

Journal | IEEE Transactions on Control Systems Technology |

Volume | 24 |

Issue number | 4 |

DOIs | |

Publication status | Published - Jul 2016 |

Externally published | Yes |

Publication type | A1 Journal article-refereed |

## Keywords

- Drive systems
- integer least-squares (ILS) problem
- integer programming
- Lenstra-Lenstra-Lovàsz (LLL) lattice basis reduction
- model predictive control (MPC)
- power electronics
- sphere decoding

## ASJC Scopus subject areas

- Control and Systems Engineering
- Electrical and Electronic Engineering