Algebraic State Estimation For Linear Time-Varying Systems

作者：Tian Y^*; Wang H P; Floquet T

来源：Control Engineering and Applied Informatics, 2015, 17(1): 52-60.

• Algebraic approach
• State estimation
• Linear time-varying systems

In this paper, we introduce a new algebraic state estimation approach for the linear time-varying (LTV) systems. This approach is based on the following mathematical tools: Leibniz formula, generalized integration by parts, operational calculus and distribution theory. Firstly, we estimate the successive time derivatives of the measured output. Then, a generalized expression of the state variables of the system as a function of the integrals of the output and the input is obtained. Comparisons with the Kalman-type observer and some simulation results are given to illustrate the performance of the proposed approach.

• 出版日期2015-3
• 单位南京大学; INRIA