Formalism (music)

Algorithm

Control (management)

Linear system

Statistics

Applied mathematics

Computer science

Mathematical optimization

Visual arts

Bounded function

Musical

Mathematics

Discrete time and continuous time

Mathematical analysis

Artificial intelligence

Interval (graph theory)

Combinatorics

Control theory (sociology)

International Journal of Control

The main goal of this paper is to present a methodology to design interval observers for discrete-time linear switched systems affected by bounded, but unknown disturbances. Two design techniques are presented. The first one requires that the observation error dynamics are nonnegative while the second one relaxes this restrictive requirement by a change of coordinates. Furthermore, ideas of using H∞ formalism to compute optimal gains are proposed. Finally, illustrative examples highlight the performance of our methodology.

Optimal interval observers for discrete-time linear switched systems