access icon free LMI-based reset unknown input observer for state estimation of linear uncertain systems

© The Institution of Engineering and Technology
Received 19/07/2018, Accepted 09/05/2019, Revised 27/02/2019, Published 14/05/2019

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 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.

Inspec keywords: observers; state estimation; stability; uncertain systems; control system synthesis; linear systems; linear matrix inequalities

Other keywords: LMI-based reset unknown input observer; devised R-UIO; state estimation; estimation error; linear time invariant systems; reset theory; linear matrix inequality techniques; LTI systems; linear uncertain systems; appropriate reset law; after-reset value

Subjects: Algebra; Linear control systems; Stability in control theory; Control system analysis and synthesis methods

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