Minimum-phase nonlinear discrete-time systems and feedback stabilization

Monaco, S.; Normand‐Cyrot, D.

doi:10.1109/cdc.1987.272543

Cited by 128 publications

(73 citation statements)

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“…We, however, consider the implicit difference equation in (3). We emphasize that the notion of constrained dynamics considered here differs from the concept of zero dynamics introduced in [17,18]. Moreover, the notion of zero dynamics [17,18] appears not to be sufficiently general to be applicable to the stabilising dead beat control problem considered here.…”

mentioning

confidence: 94%

“…The following example serves to illustrate why the present notion of stability of constrained dynamics is more appropriate in this context than the notion of zero dynamics introduced in [17,18]. Example 2.…”

Section: Examplesmentioning

confidence: 99%

“…Let A ⊂ be a bounded interval invariant under mapping c. Then: We emphasize that the present notion of stability is more general than allowed for in [17,18], where only stability of equilibria is considered. Notice also that we consider a global stability property.…”

Section: Theorem 46 the Odd System (4) Is Output Dead Beat Controllmentioning

confidence: 99%

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Output Dead Beat Control for a Class of Planar Polynomial Systems

Nešić¹,

Mareels²,

Bastin³

et al. 1998

SIAM J. Control Optim.

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Abstract. Output dead beat control for a class of non linear discrete time systems, which are described by a single input-output polynomial difference equation, is considered. The class of systems considered is restricted to systems with a two dimensional state space description. It is assumed that the highest degree with which the present input appears in the equation is odd. Necessary and sufficient conditions for the existence of output dead beat control and for the stability of the zero output constrained dynamics are presented. We also design a minimum time output dead beat control algorithm (feedback controller) which yields stable zero dynamics, whenever this is feasible. A number of interesting phenomena are discussed and illustrated by examples.

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mentioning

confidence: 94%

Section: Examplesmentioning

confidence: 99%

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Output Dead Beat Control for a Class of Planar Polynomial Systems

Nešić¹,

Mareels²,

Bastin³

et al. 1998

SIAM J. Control Optim.

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“…Eq. 6) rank A(x(k), u(k))| x • ,u • = m, an algorithm is available for determining the zero dynamics [8], however in which the analysis is not generally local in nature as is the case here.…”

Section: The Normal Form For Mimo Systemsmentioning

confidence: 99%

Improvements in stable inversion of NARX models by using Mann iteration

Eksteen

Heyns

2015

Inverse Problems in Science and Engineering

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The use of Mann iteration in the stable inversion of NARX models that have been converted to state space form is investigated to either recover the convergence or improve the accuracy of the best approximate solution under conditions when Picard iteration fails to converge. Attention is given to the use of filtering and time-varying iteration gains. The results are potentially of use in response reconstruction for fatigue testing purposes where the inverse of a NARX model, obtained by system identification, may be used to achieve the reconstruction.

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“…For non-linear discrete time systems, Castillo et al (1993), using the zero output constrained algorithm (Monaco and Normand-Cyrot, 1987), has shown that the solution for the problem is reduced to the solution of transcendental non-linear equations, which represent the discrete time counterpart of the differential and transcendental equations, found for the continuous time systems by Isidori and Byrnes (1990).…”

Section: Non-linear Output Regulationmentioning

confidence: 99%

Neural Output Regulation for a Solar Power Plant

Henriques

Gil

Dourado

2002

IFAC Proceedings Volumes

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Abstract:In this paper the modelling capabilities of a recurrent neural network and the effectiveness and stability of the output regulation control theory are combined. The control structure consists in a neural based indirect adaptive control scheme, being the main goal to provide a viable practical control strategy suitable for real-time implementations. This control scheme was applied to the distributed solar collector field at Plataforma Solar de Almería, Spain. Experimental results obtained at the solar power plant are presented showing the effectiveness of the proposed approach.

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Minimum-phase nonlinear discrete-time systems and feedback stabilization

Cited by 128 publications

References 0 publications

Output Dead Beat Control for a Class of Planar Polynomial Systems

Output Dead Beat Control for a Class of Planar Polynomial Systems

Improvements in stable inversion of NARX models by using Mann iteration

Neural Output Regulation for a Solar Power Plant

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