# Estimation of the output deviation norm for uncertain, discrete-time nonlinear systems in a state dependent form

International Journal of Applied Mathematics and Computer Science (2007)

- Volume: 17, Issue: 4, page 505-513
- ISSN: 1641-876X

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topOrłowski, Przemysław. "Estimation of the output deviation norm for uncertain, discrete-time nonlinear systems in a state dependent form." International Journal of Applied Mathematics and Computer Science 17.4 (2007): 505-513. <http://eudml.org/doc/207855>.

@article{Orłowski2007,

abstract = {Numerical evaluation of the optimal nonlinear robust control requires estimating the impact of parameter uncertainties on the system output. The main goal of the paper is to propose a method for estimating the norm of an output trajectory deviation from the nominal trajectory for nonlinear uncertain, discrete-time systems. The measure of the deviation allows us to evaluate the robustness of any designed controller. The first part of the paper concerns uncertainty modelling for nonlinear systems given in the state space dependent form. The method for numerical estimation of the maximal norm of the output trajectory deviation with applications to robust control synthesis is proposed based on the introduced three-term additive uncertainty model. Theoretical deliberations are complemented with a numerical, water-tank system example.},

author = {Orłowski, Przemysław},

journal = {International Journal of Applied Mathematics and Computer Science},

keywords = {uncertain systems; uncertain estimates; discrete-time systems; nonlinear systems},

language = {eng},

number = {4},

pages = {505-513},

title = {Estimation of the output deviation norm for uncertain, discrete-time nonlinear systems in a state dependent form},

url = {http://eudml.org/doc/207855},

volume = {17},

year = {2007},

}

TY - JOUR

AU - Orłowski, Przemysław

TI - Estimation of the output deviation norm for uncertain, discrete-time nonlinear systems in a state dependent form

JO - International Journal of Applied Mathematics and Computer Science

PY - 2007

VL - 17

IS - 4

SP - 505

EP - 513

AB - Numerical evaluation of the optimal nonlinear robust control requires estimating the impact of parameter uncertainties on the system output. The main goal of the paper is to propose a method for estimating the norm of an output trajectory deviation from the nominal trajectory for nonlinear uncertain, discrete-time systems. The measure of the deviation allows us to evaluate the robustness of any designed controller. The first part of the paper concerns uncertainty modelling for nonlinear systems given in the state space dependent form. The method for numerical estimation of the maximal norm of the output trajectory deviation with applications to robust control synthesis is proposed based on the introduced three-term additive uncertainty model. Theoretical deliberations are complemented with a numerical, water-tank system example.

LA - eng

KW - uncertain systems; uncertain estimates; discrete-time systems; nonlinear systems

UR - http://eudml.org/doc/207855

ER -

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