### Abstract

An interpretation of the entropy, defined for discrete-time time-varying systems, is presented. The interpretation shows why minimum entropy controllers have an advantage over other H_{∞} controllers, in the sense that the difference in norms of the input and output signals are relatively high for signals not equal to the worst-case one. Moreover, it is shown that minimizing the entropy results in relatively low quadratic cost, which indicates why minimum entropy controller are good mixed H_{2}/H_{∞} controllers.

Original language | English (US) |
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Title of host publication | Proceedings of the IEEE Conference on Decision and Control |

Publisher | IEEE |

Pages | 1917-1918 |

Number of pages | 2 |

Volume | 2 |

State | Published - 1995 |

Event | Proceedings of the 1995 34th IEEE Conference on Decision and Control. Part 1 (of 4) - New Orleans, LA, USA Duration: Dec 13 1995 → Dec 15 1995 |

### Other

Other | Proceedings of the 1995 34th IEEE Conference on Decision and Control. Part 1 (of 4) |
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City | New Orleans, LA, USA |

Period | 12/13/95 → 12/15/95 |

### Fingerprint

### ASJC Scopus subject areas

- Chemical Health and Safety
- Control and Systems Engineering
- Safety, Risk, Reliability and Quality

### Cite this

*Proceedings of the IEEE Conference on Decision and Control*(Vol. 2, pp. 1917-1918). IEEE.

**Minimum entropy controller as a mixed H2/H∞ controller : the time-varying case.** / Peters, Marc A.; Iglesias, Pablo A.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

*Proceedings of the IEEE Conference on Decision and Control.*vol. 2, IEEE, pp. 1917-1918, Proceedings of the 1995 34th IEEE Conference on Decision and Control. Part 1 (of 4), New Orleans, LA, USA, 12/13/95.

}

TY - GEN

T1 - Minimum entropy controller as a mixed H2/H∞ controller

T2 - the time-varying case

AU - Peters, Marc A.

AU - Iglesias, Pablo A

PY - 1995

Y1 - 1995

N2 - An interpretation of the entropy, defined for discrete-time time-varying systems, is presented. The interpretation shows why minimum entropy controllers have an advantage over other H∞ controllers, in the sense that the difference in norms of the input and output signals are relatively high for signals not equal to the worst-case one. Moreover, it is shown that minimizing the entropy results in relatively low quadratic cost, which indicates why minimum entropy controller are good mixed H2/H∞ controllers.

AB - An interpretation of the entropy, defined for discrete-time time-varying systems, is presented. The interpretation shows why minimum entropy controllers have an advantage over other H∞ controllers, in the sense that the difference in norms of the input and output signals are relatively high for signals not equal to the worst-case one. Moreover, it is shown that minimizing the entropy results in relatively low quadratic cost, which indicates why minimum entropy controller are good mixed H2/H∞ controllers.

UR - http://www.scopus.com/inward/record.url?scp=0029533174&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0029533174&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:0029533174

VL - 2

SP - 1917

EP - 1918

BT - Proceedings of the IEEE Conference on Decision and Control

PB - IEEE

ER -