### Abstract

This paper considers the minimization of the l^{∞}-induced norm of the closed loop in linear multirate systems when full state information is available for feedback. A state-space approach is taken and concepts of viability theory and controlled invariance are utilized. The essential idea is to construct a set such that the state may be confined to that set and that such a confinement guarantees that the output satisfies the desired output norm conditions. Once such a set is computed, it is shown that a memoryless nonlinear controller results, which achieves near-optimal performance. The construction involves the solution of several finite linear programs and generalizes to the multirate case earlier work on linear time-invariant (LTI) systems.

Original language | English (US) |
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Pages (from-to) | 3433-3437 |

Number of pages | 5 |

Journal | Proceedings of the American Control Conference |

Volume | 5 |

State | Published - Jan 1 1997 |

Event | Proceedings of the 1997 American Control Conference. Part 3 (of 6) - Albuquerque, NM, USA Duration: Jun 4 1997 → Jun 6 1997 |

### ASJC Scopus subject areas

- Electrical and Electronic Engineering

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## Cite this

^{1}-optimal control for multirate systems under full state feedback.

*Proceedings of the American Control Conference*,

*5*, 3433-3437.