Abstract
In this paper, a method to design a finite time setting adaptive obsever for multi-input multi-output linear systems is discussed. The scheme proposed is based on a canonical state-space representation for multivariable systems, which is obtained from a matrix difference operator representation of linear time-invariant systems. The algorithm for parameters and states estimation is derived from a sequential algorithm to obtain the minimum-norm least square solution of linear algebraic equation: AX=Y, with pseudoinverse. A simple example is given to show the effectiveness of the algorithm presented.