Adaptive state observer development using recursive extended least-squares method

Nikolov, Nikola; Alexandrova, Mariela; Valchev, Vencislav Cekov; Stanchev, Orlin

doi:10.23919/mipro.2017.7973403

Cited by 4 publications

(2 citation statements)

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“…For the reconstruction of the state vector, an implementation of a state observer is necessary. The process of adaptive observation involves the creation of an observer with a parameter estimator [11,12]. The matrices A and b or c (depending on the canonical form for representing the object in the state space) are considered unknown.…”

Section: Introductionmentioning

confidence: 99%

Algorithm for adaptive observation based on method of instrumental variables

Nikolov,

Alexandrova,

Ubaydullayeva

et al. 2023

E3S Web of Conf.

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When the input signal and the output value of the object of control cannot be measured accurately, the state vector is estimated. The instrumental variables (IVs) method is a commonly used parameter estimation method [1-10]. The task of adaptive observation is to create state observers containing parameter estimators. In adaptive observers, the matrices A and b or c (depending on the chosen canonical state-space representation form) are assumed to be unknown. In the monitoring process, parameter estimation is performed, the unknown matrices are determined, and then the state vector is calculated. The paper aims to present a non-recurrent adaptive observation algorithm for SISO linear time-invariant (LTI) discrete systems. The algorithm is based on the instrumental variables (IVs) method, and the adaptive state observer (ASO) estimates the parameters, the initial and the current state vectors of the discrete system. The algorithm's workability and effectiveness are proved by using simulation data in MATLAB/Simulink.

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Section: Introductionmentioning

confidence: 99%

Algorithm for adaptive observation based on method of instrumental variables

Nikolov,

Alexandrova,

Ubaydullayeva

et al. 2023

E3S Web of Conf.

View full text Add to dashboard Cite

show abstract

“…The reconstruction of the state vector is only possible by implication of state observer and the adaptive observation problem is related to observer synthesis with parameter estimator [6,7]. The matrices and or (depending on the canonical form chosen for state space representation) are considered unknown.…”

Section: Introductionmentioning

confidence: 99%