Abstract:

A parameterized design problem of the finite time functional observers in the linear systems is investigated. The aim is to design the parameterized functional observers which can directly estimate the linear functions of the state of the linear systems within a predefined finite time. By using the parameterized solutions of a class of Sylvester matrix equations, the parameterized expressions of all the gain matrices in the finite time functional observer are presented. The free parameters of the proposed finite time functional observers can offer all the design degrees of freedom in control system design and can be selected to satisfy some system performance.Finally, a numerical example and its simulation results show the simplicity and effectiveness of the proposed parametric design method of the finite time functional observers in the linear systems.