# Switched Polytopic Controller Applied on a Positive Reconfigurable Power Electronic Converter

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## Abstract

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## 1. Introduction

- Internet of things (IoT): An RPEC focused on low cost and low size power supply was reported on [41].

## 2. Modeling

#### 2.1. Mode I (Buck)

#### 2.2. Mode II (Boost)

#### 2.3. Mode III (Buck)

#### 2.4. Mode IV (Buck)

#### 2.5. Mode V (Cascade Buck)

## 3. Controller Design

#### 3.1. Controller Design for the Mode I (Buck)

**Proposition**

**1.**

#### 3.2. Controller Design for the Mode II (Boost)

#### 3.3. Controller Design for the Mode III (Buck)

#### 3.4. Controller Design for the Mode IV (Buck)

#### 3.5. Controller Design for the Mode V (Cascade Buck)

#### 3.6. Global Stability

## 4. Simulations

## 5. Experimental Behavior

## 6. Conclusions

## Author Contributions

## Conflicts of Interest

## Abbreviations

CLF | Common Lyapunov function |

DC | Direct Current |

HPS | High-pressure sodium |

IoT | Internet of things |

LED | Light Emitting Diode |

LPV | Linear Parameter Variant |

PEC | Power electronic converters |

PSS | Polytopic Switched System |

RE | Renewable energy |

RLC | Resistance-Inductor-Capacitor |

RPEC | Reconfigurable power electronic converters |

SLPV | Switched linear parameter varying |

SPC | Switched polytopic controller |

TE | Transport electrification |

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**Figure 16.**Main power supply and electronic load in Mode II with $3\phantom{\rule{3.33333pt}{0ex}}\Omega $ load.

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**MDPI and ACS Style**

Rodríguez-Licea, M.-A.; Perez-Pinal, F.-J.; Barranco-Gutiérrez, A.-I.; Nuñez-Perez, J.-C.
Switched Polytopic Controller Applied on a Positive Reconfigurable Power Electronic Converter. *Energies* **2018**, *11*, 116.
https://doi.org/10.3390/en11010116

**AMA Style**

Rodríguez-Licea M-A, Perez-Pinal F-J, Barranco-Gutiérrez A-I, Nuñez-Perez J-C.
Switched Polytopic Controller Applied on a Positive Reconfigurable Power Electronic Converter. *Energies*. 2018; 11(1):116.
https://doi.org/10.3390/en11010116

**Chicago/Turabian Style**

Rodríguez-Licea, Martín-A., Francisco-J. Perez-Pinal, Alejandro-I. Barranco-Gutiérrez, and Jose-C. Nuñez-Perez.
2018. "Switched Polytopic Controller Applied on a Positive Reconfigurable Power Electronic Converter" *Energies* 11, no. 1: 116.
https://doi.org/10.3390/en11010116