Discrete Variable Structure Model Reference Adaptive Control for Non Strictly Positive Real Systems Using Only I/O Measurements

Znidi, Aicha; Dehri, Khadija; Nouri, Ahmed Saïd

doi:10.1007/978-3-319-48929-2_8

Cited by 2 publications

(2 citation statements)

References 18 publications

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“…The eventual possible extensions of the pseudocontractive conditions related to positive realness/passivity in both continuous-time and discrete-time formalisms in dynamic systems including the eventual presence of known or unknown internal and external delays and parametrical disturbances based on previous background results [34][35][36][37][38] are under study.…”

Section: Further Examplesmentioning

confidence: 99%

On Some Relations between Accretive, Positive, and Pseudocontractive Operators and Passivity Results in Hilbert Spaces and Nonlinear Dynamic Systems

Sen

2017

Discrete Dynamics in Nature and Society

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This paper investigates some parallel relations between the operators ( − ) and in Hilbert spaces in such a way that the pseudocontractivity, asymptotic pseudocontractivity, and asymptotic pseudocontractivity in the intermediate sense of one of them are equivalent to the accretivity, asymptotic accretivity, and asymptotic accretivity in the intermediate sense of the other operator. If the operators are self-adjoint then the obtained accretivity-type properties are also passivity-type properties. Such properties are very relevant in stability theory since they refer to global stability properties of passive feed-forward, in general, nonlinear, and time-varying controlled systems controlled via feedback by elements in a very general class of passive, in general, nonlinear, and time-varying controllers. These results allow the direct generalization of passivity results in controlled dynamic systems to wide classes of tandems of controlled systems and their controllers, described by -operators, and their parallel interpretations as pseudocontractive properties of their counterpart ( − )-operators. Some of the obtained results are also directly related to input-passivity, output-passivity, and hyperstability properties in controlled dynamic systems. Some illustrative examples are also given in the framework of dynamic systems described by extended square-integrable input and output signals.

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Section: Further Examplesmentioning

confidence: 99%

On Some Relations between Accretive, Positive, and Pseudocontractive Operators and Passivity Results in Hilbert Spaces and Nonlinear Dynamic Systems

Sen

2017

Discrete Dynamics in Nature and Society

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“…In Kumpatis and Yuan (1980), a discrete version of model reference adaptive control for systems with relative degree n * ≥ 1 was first proposed and in order to prove the efficiency of the proposed controller they developed a detailed stability analysis using the KALMAN Yacubovich Lemma. Also, a new simplified discrete version of VS-MRAC-IO controller for not strictly positive real system (NSPR) with relative degree 2 was developed in Znidi et al (2014). Further efforts are still needed to extend these results to the general case.…”

Section: Introductionmentioning

confidence: 99%

Discrete variable structure model reference adaptive control using only input-output measurements

Znidi

Dehri

Nouri

2016

Transactions of the Institute of Measurement and Control

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Designing an adequate controller for a plant with an arbitrary relative degree is still an active area of research. In this paper, a discrete variable structure model reference adaptive control using only input-output measurements (DVS-MRAC-IO) for not strictly positive real systems with a relative degree of two is proposed. In order to show the effectiveness of the proposed controller, a detailed stability analysis is studied using Lyapunov theory. Further, a straightforward generalization of DVS-MRAC-IO for systems with arbitrary relative degree is presented. Numerical results are used to show the effectiveness of the proposed methods.

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Discrete Variable Structure Model Reference Adaptive Control for Non Strictly Positive Real Systems Using Only I/O Measurements

Cited by 2 publications

References 18 publications

On Some Relations between Accretive, Positive, and Pseudocontractive Operators and Passivity Results in Hilbert Spaces and Nonlinear Dynamic Systems

On Some Relations between Accretive, Positive, and Pseudocontractive Operators and Passivity Results in Hilbert Spaces and Nonlinear Dynamic Systems

Discrete variable structure model reference adaptive control using only input-output measurements

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