Towards a complete design of linear functional observers

This paper provides a procedure for the design of a reduced order observer of a state linear functional for a linear lime-invariant system. The case, defined in[1], where the observer order p is given by the number m of single independent linear functionals to be observed, is called in this paper the minimum case where p = m. The minimum case is revisited and numerically simplified. The aim of this paper is lo extend the minimum case to the case where m < p < n-l, named minimal case. A constructive procedure is given to design the linear functional observer