Minimal single linear functional observers for discrete-time linear systems

Hamdoun, Meriem; Ayadi, Mounir; Rotella, Frédéric; Zambettakis, Irène

doi:10.1109/codit.2017.8102688

Cited by 1 publication

(1 citation statement)

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“…These approaches are essentially based on eigenvalue assignment or on the Sylvester-observer equation resolution [7]. In [21], the direct method was introduced for the first time to reconstruct a single linear functional observer and since then many studies have been carried out on functional observer design using this method [11,18,24]. The main advantage of this method is its simplicity as it relied on iterative derivations of the vector to be reconstructed.…”

Section: Introductionmentioning

confidence: 99%

Functional observer-based feedback controller for ball balancing table

et al. 2021

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The two degree of freedom ball balancing table (BBT) is a well-known didactic tool used to evaluate the effectiveness and performances of many control algorithms for dynamic systems. The present paper proposes to control the ball position of the BBT system via a linear feedback controller based on a functional observer. The parameters of the linear functional observer are determined by applying the direct method which requires neither a Sylvester equation resolution nor canonical transformations. The use of a digital controller has motivated the elaboration of the equations in the discrete time case. In this work, the BBT is tested in real-time to evaluate the proposed controller performances when stabilizing a ball on a reference point. This paper is a continuity of the previous work [12], in which only simulation results have been carried out.

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