Design of general structured observers for linear systems with unknown inputs
โ Scribed by Shao-Kung Chang; Wen-Tong You; Pau-Lo Hsu
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 889 KB
- Volume
- 334
- Category
- Article
- ISSN
- 0016-0032
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โฆ Synopsis
Using the framework of the general structured (GS) observer, we present a straightforward procedurefor designing an unknown input observer (UIO) jor a linear O'stem subject to unknown inputs or uncertain disturbances. The set of all GS observers insensitive to unknown inputs is derived in this paper. Moreover, an extension of the UIO, called the extended UIO, is' developed to estimate both the system state and the unknown input simultaneously. We show the existence conditions of a stable UIO are the same as those of a stable left inverse system. In addition, wellconditioned designs for both the state and unknown input estimations are also explored. Conditions of transmission zeros reveal that to achieve a stable UIO, the uncertain system should be minimumphase. To overcome this restriction, we adopt a two-delay output stabilized method to design the stabilized UIO without implementing extra sensors. Experimental results Jor a DC servo motor system demonstrate the applicability of the proposed methodologies.
๐ SIMILAR VOLUMES
The theory of observers for linear, time-invariant systems is generalized to systems where some of the inputs are unmeasurable and statistically unknown. Criteria for the existance of such observers are developed and an example is presented.
## a b s t r a c t This paper deals with the observability of the discrete mode, the internal state and the input of switching structured linear systems with unknown input. The proposed method, based on a graphtheoretic approach, assumes only the knowledge of the system's structure. We express, in