Ono, Takahiko (Hiroshima City Univ.), Ishihara, Tadashi (Fukushima Univ.)

Simultaneous Observation of States and Unknown Inputs for Discrete-Time Linear Systems

Scheduled for presentation during the Regular Session "Linear system identification I" (MoP09), Monday, July 24, 2006, 16:10−16:35, Room J

17th International Symposium on Mathematical Theory of Networks and Systems, July 24-28, 2006, Kyoto, Japan

This information is tentative and subject to change. Compiled on April 24, 2024

Abstract

For a linear time-invariant system such that the observability index is two, this paper proposes a new method for designing a discrete-time state and input observer which estimates both states and unknown inputs simultaneously. A key technique is a linear ransformation. It is performed to obtain an output error equation which is decoupled from estimation errors of unknown state variables. The observer consists of two parts: a state estimation part and a disturbance estimation part. Each part is designed based on the output error equation. Particularly, the design problem of the state estimation part is handled like a state feedback regulation problem for linear time-invariant systems and any conventional state feedback control theory can be utilized in determining a design variable. The observer requires no knowledge of disturbances and its design procedure is quite simple. Deadbeat observers insensitive to any disturbance can also be designed in the same framework. In a numerical example, estimation performances of the new observer and the conventional observer are compared.