### Abstract

The problem of optimal rejection of bounded persistent disturbances is solved in the case of linear discrete-time period systems. The solution consists of solving an equivalent time-invariant standard l^{1} optimization problem subject to an additional constraint. This constraint ensures the causality of the resulting periodic controller. By the duality theory, the problem is shown to be equivalent to a linear programming problem, which is no harder than the standard l^{1} problem.

Original language | English (US) |
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Pages (from-to) | 2300-2305 |

Number of pages | 6 |

Journal | Proceedings of the IEEE Conference on Decision and Control |

Volume | 4 |

State | Published - Dec 1 1990 |

Externally published | Yes |

Event | Proceedings of the 29th IEEE Conference on Decision and Control Part 6 (of 6) - Honolulu, HI, USA Duration: Dec 5 1990 → Dec 7 1990 |

### ASJC Scopus subject areas

- Control and Systems Engineering
- Modeling and Simulation
- Control and Optimization

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## Cite this

Dahleh, M. A., Voulgaris, P. G., & Valavani, L. S. (1990). Optimal rejection of bounded persistent disturbances in periodic systems.

*Proceedings of the IEEE Conference on Decision and Control*,*4*, 2300-2305.