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access icon free On the practical estimation of unknown inputs for polytopic LTI systems

  • Author(s): Ixbalank Torres Zúñiga 1, 2 ; Alejandro Vargas 1 ; Jaime A. Moreno 3
    • View affiliations
  • Source: Volume 12, Issue 4, 06 March 2018, p. 466 – 476
    DOI:  10.1049/iet-cta.2017.0856 , Print ISSN 1751-8644, Online ISSN 1751-8652
© The Institution of Engineering and Technology
Received 03/08/2017, Accepted 11/12/2017, Revised 31/10/2017, Published 12/12/2017

Reconstruction of unknown inputs is an important issue in real-time monitoring when they cannot be directly measured. This study proposes a coupled robust observer to estimate both the state vector and the unknown input of uncertain linear and time invariant (LTI) systems. A Luenberger observer is first considered to estimate the state vector and then, a super-twisting observer uses the precedent estimations to reconstruct the unknown input. Two semi-definite optimisation problems are proposed to compute the observer gains. The feasibility of the strategy is illustrated by the two examples, one of them a non-linear biological system.

Inspec keywords: uncertain systems; observers; linear systems; robust control

Other keywords: real-time monitoring; Luenberger observer; super-twisting observer; unknown input reconstruction; unknown input estimation; uncertain linear systems; coupled robust observer; nonlinear biological system; time invariant systems; state vector estimation; semidefinite optimisation problems; polytopic LTI systems

Subjects: Stability in control theory; Linear control systems; Simulation, modelling and identification

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