## Abstract

A guaranteed state estimator produces a set of possible states based on output measurements and models of exogenous signals. In this paper, we consider the guaranteed state estimation problem for linear time-varying systems with a priori magnitude bounds on exogenous signals. We provide a recursive algorithm to propagate the set of possible states based on output measurements. We show that the centers of these sets provide optimal estimates in an l^{∞}-induced norm sense. We then consider the utility of guaranteed state estimators for disturbance rejection with output feedback. In particular, we derive a separation structure for disturbance rejection in the special case of output feedback will full control.

Original language | English (US) |
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Pages (from-to) | 2081-2086 |

Number of pages | 6 |

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

Volume | 2 |

State | Published - Dec 1 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 |

## ASJC Scopus subject areas

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