State and unknown input estimations for discrete-time Lipschitz nonlinear systems
GUO Sheng-hui
ZHU Fang-lai
ZHU Shu-xian
Abstract：The discrete-time Lipschitz nonlinear systems that subjected to unknown inputs and measurement noises,state,unknown input and measurement estimations simultaneously are investigated in this paper.Firstly,a proportional integral observer is designed for estimating system states and unknown inputs on system with unknown inputs.Both of the observability and the stability of the residual system are analyzed.The effective estimation of time-varying unknown inputs is finished by using H∞.And then,the problem of solving observer gain matrix is transformed into calculating a linear matrix inequality.Further more,based on the system expansion,the proposed method is extended to the system that with both unknown inputs and measurement noises.Finally,the correctness and the effectiveness of presented methods are illustrated via two simulation examples.
Keywords：state estimationunknown input estimationmeasurement noise estimationproportional integral observer
Publication Date：2018-01-01
Online Publishing Date：2025-08-15(First online date of this platform, not the publication date of the document)
Pages：7( 375-381 )