Numerical implementation of a Functional Observability algorithm: A Singular Value Decomposition Approach

The paper outlines a numerical algorithm to implement the concept of Functional Observability introduced in [6] based on a Singular Value Decomposition approach. The key feature of this algorithm is in outputting a minimum number of additional linear functions of the state vector when the system is Functional Observable, these additional functions are required to design the smallest possible order functional observer as stated in [6].

[1]  D. Luenberger Observers for multivariable systems , 1966 .

[2]  Mohamed Darouach Existence and design of functional observers for linear systems , 2000, IEEE Trans. Autom. Control..

[3]  Tyrone Fernando,et al.  Disturbance Decoupled Observers for Systems With Unknown Inputs , 2008, IEEE Transactions on Automatic Control.

[4]  John O'Reilly,et al.  Observers for Linear Systems , 1983 .

[5]  Tyrone Fernando,et al.  Functional Observability and the Design of Minimum Order Linear Functional Observers , 2010, IEEE Transactions on Automatic Control.

[6]  Tyrone Fernando,et al.  Partial-State Observers for Nonlinear Systems , 2006, IEEE Transactions on Automatic Control.