Optimal interval observers for discrete-time linear switched systems

ABSTRACT

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 $H_{\mathrm{\infty }}$ formalism to compute optimal gains are proposed. Finally, illustrative examples highlight the performance of our methodology.

KEYWORDS:

• Interval observer
• discrete time
• linear switched systems
• LMI
• $H_{\mathrm{\infty }}$ design

Disclosure statement

No potential conflict of interest was reported by the authors.