A parametric design method of finite time state observers in linear time-invariant systems

Abstract

A parametric design problem of the finite time state observers for the linear time-invariant systems is investigated. The design aim of the finite time state observers in linear time-invariant systems is to present the parametric form of the state observers which can estimate the system state in a predefined finite time and the estimation stays bounded during the convergence time interval. Based on the parametric solutions for a class of Sylvester matrix equations, the parametric expressions of all the gain matrices for the finite time state observers in linear systems are proposed. Finally, a numerical example and its simulation results show that the proposed parametric design method of the finite time state observers in the linear time-invariant systems is effective and simple.