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1976•Transactions of the Society of Instrument and Control EngineersOpen access

State Observers for Bilinear Systems

Shinji Hara, Katsuhisa Furuta

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Abstract

This paper considers a state observer for a bilinear system. The estimation error of the observer given by this paper is independent of the input, so it can be designed independently of the input.A standard form of a bilinear system having a state observer is given and the necessary and sufficient condition for the existence of a state observer is obtained. Also a standard form of a state observer is given and the design procedure of this observer is presented. The observer of a DC-motor is designed as an example.

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This paper considers a state observer for a bilinear system. The estimation error of the observer given by this paper is independent of the input, so it can be designed independently of the input.A standard form of a bilinear system having a state observer is given and the necessary and sufficient condition for the existence of a state observer is obtained. Also a standard form of a state observer is given and the design procedure of this observer is presented. The observer of a DC-motor is designed as an example.

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Available abstract

This paper considers a state observer for a bilinear system. The estimation error of the observer given by this paper is independent of the input, so it can be designed independently of the input.A standard form of a bilinear system having a state observer is given and the necessary and sufficient condition for the existence of a state observer is obtained. Also a standard form of a state observer is given and the design procedure of this observer is presented. The observer of a DC-motor is designed as an example.

Key concepts: Observer (physics), State observer, Control theory (sociology), Alpha beta filter, Bilinear interpolation, State (computer science), Mathematics, Separation principle

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