Existence and Design of Reduced-order Scalar Functional Observers

H. Trinh, J. Zhang, and S. Nahavandi (Australia)


Linear functional observers, state observers, estimation, stability,


In the existing literature, the existence conditions and design procedures for scalar functional observers are available for the cases where the observers’ order p is either p=1 or p=(v-1), where v is the observability index of the matrix pair (C,A). Therefore, if an observer with an order p=1 does not exist, the other option is to use a high-order observer with p=(v-1). This paper provides the existence conditions and a design procedure for scalar functional observers of order 0≤p≤2, and demonstrates the presented results with a numerical example.

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