LMI‐based reset unknown input observer for state estimation of linear uncertain systems. Issue 12 (20th June 2019)

• Record Type: Journal Article
• Authors: Hosseini, Iman; Khayatian, Alireza; Karimaghaee, Paknoush; Fiacchini, Mirko; Davo Navarro, Miguel Angel
• Is Part Of: IET control theory & applications. Volume 13:Issue 12(2019)
• Page Start: 1872
• Page End: 1881
• Publication Date: 2019-06-20
• Subjects: uncertain systems -- linear matrix inequalities -- state estimation -- stability -- linear systems -- control system synthesis -- observers; LMI‐based reset unknown input observer -- state estimation -- linear uncertain systems -- linear time invariant systems -- linear matrix inequality techniques -- after‐reset value -- appropriate reset law -- estimation error -- reset theory -- LTI systems -- devised R‐UIO; Control theory -- Periodicals; Automatic control -- Periodicals; 629.8312
• DOI: 10.1049/iet-cta.2018.5777
• Languages: English
• ISSNs: 1751-8644

Abstract

Abstract : This study 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 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 L 2 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.