Gain-switching Observer against Sensor Signal Loss with Regional Pole Placement

Abstract

This paper studies control systems whose output signal suffers from signal loss due to communication/sensing failure. Part of the authors previously proposed a gain-switching state observer to address such signal loss, with focus on stability during the signal loss. In practice, however, it is natural to expect that such signal loss occurs less often than when the signal arrives successfully. In this sense, we need to design a control system giving a good performance if the signal arrives, while maintaining stability if it does not arrive. This paper proposes to guarantee stability during signal loss and achieve regional pole placement during signal reception, by solving a set of linear matrix inequalities (LMIs) simultaneously. The effectiveness of the proposed method is illustrated by numerical simulation of platooning.