Uniform Practical Nonlinear Output Regulation

Marconi, Lorenzo; Praly, Laurent

doi:10.1109/tac.2008.923674

Cited by 111 publications

(95 citation statements)

References 31 publications

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“…As far as the latter is concerned, a remarkable by-product of the results of [10] is a "universal" assumption-free technique for the design of the internal model and hence for the generation of the appropriate steady state control. This extends the domain of interest of the theory of nonlinear output regulation to meaningful previously untractable applications (see [8]). …”

mentioning

confidence: 59%

“…which, as shown in [10], is a function satisfying the properties (7) and (8). In Proposition 1 of [10] it was shown that the map in question is continuous and the set graph τ | A is locally asymptotically stable for (6) with a domain of attraction containing Z × M .…”

Section: A Sufficient Condition For Locally Lipschitz Regulatorsmentioning

confidence: 91%

“…In [7], several issues regarding the design of the stabilizer v = κ(y) have been addressed by showing, in the context of nonlinear output regulation, a trade-off between the "regularity" of the stabilizer v = κ(y) and the "minimality" of the internal model. In [8] possible exact and approximated expressions for the function γ have been presented, proposing in this way a complete framework for exact and practical output regulation of nonlinear systems. In [3] the design technique in [10] has been applied to address some problems of output regulation for non-minimum-phase nonlinear systems.…”

mentioning

confidence: 99%

See 2 more Smart Citations

About the Existence of Locally Lipschitz Output Feedback Stabilizers for Nonlinear Systems

Isidori¹,

Praly²,

Marconi³

2010

SIAM J. Control Optim.

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Abstract. In this paper we complement some results of [L. Marconi, L. Praly, and A. Isidori, SIAM J. Control Optim., 45 (2007), pp. 2277-2298 by presenting a sufficient condition under which the output feedback controller proposed in that paper can be designed to be locally Lipschitz. The condition in question consists in a regularity property of the observable part of an autonomous system with output that generates the control input in a steady state. The work has been deliberately written to be an addendum to [L. Marconi, L. Praly, and A. Isidori, SIAM J. Control Optim., 45 (2007), pp. 2277-2298, to which the reader is referred for notation and main results.

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mentioning

confidence: 59%

Section: A Sufficient Condition For Locally Lipschitz Regulatorsmentioning

confidence: 91%

mentioning

confidence: 99%

See 1 more Smart Citation

About the Existence of Locally Lipschitz Output Feedback Stabilizers for Nonlinear Systems

Isidori¹,

Praly²,

Marconi³

2010

SIAM J. Control Optim.

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“…Note however that the mapping T * solution of (5) has to be designed. Following the approach introduced in [21], the Mc-Shane formula can be used (see [18] and more recently [15]). …”

Section: Construction Of the Observermentioning

confidence: 99%

State and Parameter Estimation: A Nonlinear Luenberger Observer Approach

Afri

Andrieu

Bako

et al. 2017

IEEE Trans. Automat. Contr.

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Abstract-The design of a nonlinear Luenberger observer for an extended nonlinear system resulting from a parameterized linear SISO (single-input single-output) system is studied. From an observability assumption of the system, the existence of such an observer is concluded. In a second step, a novel algorithm for the identification of such a system is suggested. Compared to the adaptive observers available in the literature, it has the advantage to be of low dimension and to admit a strict Lyapunov function.

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“…This result, which is a key point of the paper, provides a new approach to cope with the problems addressed in this work. [45].…”

Section: Conclusion and Problem Statementmentioning

confidence: 99%

Voltage balancing in three-level neutral-point-clamped converters via Luenberger observer

Umbría

Gordillo

Gómez-Estern

et al. 2014

Control Engineering Practice

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This paper addresses the problems associated with the dc-link capacitor voltages of the three-level neutral-point-clamped power converter: the imbalance of the capacitor voltages as well as the presence of an ac-voltage low-frequency oscillation in the dc link of the converter. In order to cope with them, a mathematical analysis of the capacitor voltage difference dynamics, based on a direct average continuous model, is carried out, considering a singular perturbation approach. The analysis leads to a final expression where a sinusoidal disturbance appears explicitly. Consequently, the two problems can be handled together using the ordinary formulation of a problem of regulating the output of a system subject to sinusoidal disturbances, applying classical control theory to design the controller. In this way, the controller is designed including the disturbance estimate provided by a Luenberger observer to asymptotically cancel the disturbance, while keeping also balanced the capacitor voltages. Experiments for a synchronous threelevel neutral-point-clamped converter prototype are carried out to evaluate the performance and usefulness of the converter working as a grid-connected inverter under the proposed control law.

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Uniform Practical Nonlinear Output Regulation

Cited by 111 publications

References 31 publications

About the Existence of Locally Lipschitz Output Feedback Stabilizers for Nonlinear Systems

About the Existence of Locally Lipschitz Output Feedback Stabilizers for Nonlinear Systems

State and Parameter Estimation: A Nonlinear Luenberger Observer Approach

Voltage balancing in three-level neutral-point-clamped converters via Luenberger observer

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