LMI-Based Reset Unknown Input Observer for State Estimation of Linear Uncertain Systems

Iman Hosseini (1) , Alireza Khayatian (1) , Paknoush Karimaghaee (1) , Mirko Fiacchini (2) , Miguel Angel Davó (2)

1 Shiraz University - Shiraz University
2 GIPSA-SYSCO - GIPSA - Systèmes non linéaires et complexité

This paper proposes a novel kind of Unknown Input Observer (UIO) called Reset Unknown Input Observer (R-UIO) for state estimation of Linear Time Invariant (LTI) systems in the presence of disturbance using Linear Matrix Inequality (LMI) techniques. In R-UIO, the states of the observer are reset to the after-reset value based on an appropriate reset law in order to decrease the L2 norm and settling time of estimation error. It is shown that the application of reset theory to the UIOs in the LTI systems can significantly improve the transient response of the observer. Moreover, the devised approach can be applied to both SISO and MIMO systems. Furthermore, the stability and convergence analysis of the devised R-UIO is addressed. Finally, the efficiency of the proposed method is demonstrated by simulation results.

Domaines: Automatique / Robotique; Systèmes dynamiques [math.DS]

Iman Hosseini, Alireza Khayatian, Paknoush Karimaghaee, Mirko Fiacchini, Miguel Angel Davó. LMI-Based Reset Unknown Input Observer for State Estimation of Linear Uncertain Systems. IET Control Theory and Applications, 2019, ⟨10.1049/iet-cta.2018.5777⟩. ⟨hal-02380015⟩