Abstract

This chapter discusses linear functional observers with the main objective to accommodate some additional constraints and complexities that are imposed upon by practical systems. Section 8.2 will revisit the design of linear functional observers for time-delay systems and discuss a possible approach to relax their existence conditions through the introduction of a slightly more complex structured observer which includes some extra delay terms. Section 8.3 will discuss the design of state and linear functional observers where the usual assumption about the availability of the instantaneous information of the output (and possibly input) is no longer hold. This situation arises in practical systems where the measured data has to be transmitted through a communication channel with a limited bandwidth, and therefore is only available for estimation after a certain delay in time. In such case, the designer has no other choice but to use the available information of the delayed output to reconstruct the state vector or a linear function of the state vector. This section will also present some possible problems for further research. Section 8.4 will discuss the design of linear functional observers for interconnected systems where the flow of decentralized information is imposed upon the structures of the observers. This section will also present some possible problems for further research.

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