### Abstract

This paper poses and solves the problem of synthesis of controllers minimizing the worst case steady-state controlled error in the presence of time-varying unstructured uncertainty. The contributions are as follows: First, under the assumption that the plant is strictly proper, we present a new and simple expression for calculating the worst case steady-state error, which gives useful and interesting suggestions on the controller design. Therefore it is revealed that the synthesis problem can be reduced to a simple and tractable l_{1}-norm minimization problem. Secondly, using this reduction a simple design method is presented for obtaining deadbeat controllers with given settling steps to guarantee the robust stability and to minimize the worst case steady-state controlled error. The proposed controllers are obtained easily by solving a simple linear programming problem.

Original language | English |
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Pages (from-to) | 351-356 |

Number of pages | 6 |

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

Volume | 1 |

Publication status | Published - 1997 |

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### 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*,

*1*, 351-356.