Uniform Output Regulation of Nonlinear Systems

Pavlov, Alexey; Nijmeijer, Henk; Wouw, Nathan van de

doi:10.1007/0-8176-4465-2

Cited by 210 publications

(292 citation statements)

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“…Theorem 1. (Pavlov et al [2006], Isidori and Byrnes [2008]) Consider system (4). Assume u is bounded and piecewise continuous and that σ(A) ⊂ C <0 .…”

Section: Preliminaries and Problem Formulationmentioning

confidence: 99%

Model reduction for hybrid systems with state-dependent jumps

Scarciotti

Astolfi

2016

IFAC-PapersOnLine

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In this paper we present a model reduction technique based on moment matching for a class of hybrid systems with state-dependent jumps. The problem of characterizing the steady-state for this class of systems is studied and a result which allows to described the steadystate response of hybrid systems through the use of a hybrid mapping is given. Then a family of hybrid reduced order models which achieve moment matching and are easily parameterizable is provided. The special case of periodic input signals is analyzed and conditions for applying the technique are given for this class. A numerical simulation illustrates the results.

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“…Theorem 1. (Pavlov et al [2006], Isidori and Byrnes [2008]) Consider system (4). Assume u is bounded and piecewise continuous and that σ(A) ⊂ C <0 .…”

Section: Preliminaries and Problem Formulationmentioning

confidence: 99%

Model reduction for hybrid systems with state-dependent jumps

Scarciotti

Astolfi

2016

IFAC-PapersOnLine

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“…Systems with such a uniquely defined globally exponentially stable steady-state solution (for arbitrary bounded inputs w) are called exponentially convergent, see e.g. [23,24]. Moreover, if the disturbance input w is T-periodic, the unique steady-state solution x will be T-periodic as well.…”

Section: Piecewise Affine Variable-gain Control Structurementioning

confidence: 99%

Performance optimization of piecewise affine variable-gain controllers for linear motion systems

et al. 2014

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“…Output regulation is one of the central design problems in nonlinear control theory (Isidori & Byrnes, 1990;Ding, 2001;Huang & Chen, 2004;Pavlov, van de Wouw & Hijmeijer, 2006). It aims to achieve precise reference tracking and disturbance rejection while maintaining system stability (Huang, 2004;Ding, 2013;Chen & Huang, 2014).…”

Section: Introductionmentioning

confidence: 99%

“…It aims to achieve precise reference tracking and disturbance rejection while maintaining system stability (Huang, 2004;Ding, 2013;Chen & Huang, 2014). The remarkable properties of most output regulation approaches are highlighted as follows: 1) the external disturbances are generally periodic signals supposed to be governed by some neutral stable exosystems (Isidori & Byrnes, 1990;Pavlov, van de Wouw & Hijmeijer, 2006;Ding, 2013); 2) the nonlinearities are usually assumed to be sufficiently smooth with respect to their arguments (Chen & Huang, 2014); and 3) globally/semi-globally/locally asymptotical output regulation is a general control design goal which indicates that the time taken to achieve the target of This paper was not presented at any IFAC meeting. This work is supported in part by National Natural Science Foundation of China (Nos.…”

Section: Introductionmentioning

confidence: 99%

Global output regulation for a class of lower triangular nonlinear systems: A feedback domination approach

Yang

Ding

2017

Automatica

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An alternative but new nonlinear output regulation approach is proposed for a class of lower triangular nonlinear systems by using the tool of adding a power integrator. The invariant manifold is solved and represented in terms of various derivatives of disturbances and references. As such, it is unnecessary to suppose that the external disturbances being governed by certain exosystems anymore. The nonlinearities are not restricted to be sufficiently smooth due the the utilization of feedback domination approach. It is shown that the time taken to reach the desired invariant manifold from any initial states under external disturbances is guaranteed to be finite time. The control law is concise in structure for implementation since the feedback domination is implemented in each of the recursive design step.

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Uniform Output Regulation of Nonlinear Systems

Cited by 210 publications

References 0 publications

Model reduction for hybrid systems with state-dependent jumps

Model reduction for hybrid systems with state-dependent jumps

Performance optimization of piecewise affine variable-gain controllers for linear motion systems

Global output regulation for a class of lower triangular nonlinear systems: A feedback domination approach

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