### Abstract

This paper proposes a new <formula><tex>$H_2$</tex></formula> output feedback control with finite multiple measurement information for discrete-time systems with disturbances. This control is called an <formula><tex>$H_2$</tex></formula> finite multiple measurement output feedback control (H2FMMOFC). The new control ascertains the <formula><tex>$H_2$</tex></formula> performance for disturbances and the equivalence to the <formula><tex>$H_2$</tex></formula> state feedback control without disturbances on a finite measurement horizon. The boundedness and exponential stability of the proposed H2FMMOFC are also investigated. The gain matrices of the H2FMMOFC are obtained by solving a convex problem utilizing the linear matrix inequality tool. Via a numerical example, the H2FMMOFC is shown to ensure the <formula><tex>$H_2$</tex></formula> performance as well as the excellent robustness property against unexpected temporary model uncertainty although the uncertainty is not considered in its design.

Original language | English |
---|---|

Journal | IEEE Transactions on Automatic Control |

DOIs | |

Publication status | Accepted/In press - 2017 Nov 1 |

### Keywords

- finite measurement
- H2 output-feedback control
- model uncertainty
- robustness

### ASJC Scopus subject areas

- Control and Systems Engineering
- Computer Science Applications
- Electrical and Electronic Engineering