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Journal ArticleDOI

Generation of a reduced-order LPV/LFT model from a set of large-scale MIMO LTI flexible aircraft models

Charles Poussot-Vassal, +1 more
- 01 Sep 2012 - 
- Vol. 20, Iss: 9, pp 919-930
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TLDR
In this paper, a methodology is described to derive a reduced-order Linear Parameter Varying (LPV) model from a reference set of large-scale MIMO Linear Time Invariant (LTI) models describing a given system at frozen configurations.
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This article is published in Control Engineering Practice.The article was published on 2012-09-01. It has received 66 citations till now. The article focuses on the topics: LTI system theory & Reference model.

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Citations
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Journal ArticleDOI

A method to construct reduced‐order parameter‐varying models

TL;DR: In this paper, a reduced-order linear system is constructed at each equilibrium point using state, input, and output data, and a parameter varying linearization is used to connect these linear models across the various operating points.
Journal ArticleDOI

Interpolated Modeling of LPV Systems

TL;DR: This paper presents a new state-space model interpolation of local estimates technique to compute linear parameter-varying (LPV) models for parameter-dependent systems using a set of linear time-invariant models obtained for fixed operating conditions.
Journal ArticleDOI

LPV Modeling of a Flexible Wing Aircraft Using Modal Alignment and Adaptive Gridding Methods.

TL;DR: The notion of σ-shifted and [Formula: see text]-norm are introduced and used as a metric to measure the model mismatch and a new modal alignment algorithm is developed which utilizes the defined metric for aligning all the local models over the entire gridded parameter space.
Proceedings ArticleDOI

Modal Matching for LPV Model Reduction of Aeroservoelastic Vehicles

TL;DR: A model order reduction method is proposed for models of aeroservoelastic vehicles in the linear parameter-varying (LPV) systems framework, based on state space interpolation of modal forms, to transform the resulting collection of systems into a consistent modal representation suitable for interpolation.
Proceedings ArticleDOI

An iterative SVD-tangential interpolation method for medium-scale MIMO systems approximation with application on flexible aircraft

TL;DR: This paper provides a simple but numerically robust and effective procedure, namely, Iterative SVD-Tangential Interpolation Algorithm (ISTIA), to approximate any medium-scale MIMO LTI system and assesses the efficiency of the proposed methodology on a medium- scale industrial aeroelastical aircraft model, on which different control design methodologies are evaluated.
References
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Book

Essentials of Robust Control

TL;DR: In this article, the authors introduce linear algebraic Riccati Equations and linear systems with Ha spaces and balance model reduction, and Ha Loop Shaping, and Controller Reduction.
Journal ArticleDOI

Survey of Gain-Scheduling Analysis & Design

TL;DR: The scope of this paper includes the main theoretical results and design procedures relating to continuous gain-scheduling (in the sense of decomposition of non-linear design into linear sub-problems) control with the aim of providing both a critical overview and a useful entry point into the relevant literature.
Journal ArticleDOI

$\mathcal{H}_2$ Model Reduction for Large-Scale Linear Dynamical Systems

TL;DR: A new unifying framework for the optimal $\mathcal{H}_2$ approximation problem is developed using best approximation properties in the underlying Hilbert space and leads to a new set of local optimality conditions taking the form of a structured orthogonality condition.
Journal ArticleDOI

Analytical framework for gain scheduling

TL;DR: A framework for the design of `idealized' gain-scheduled controllers for nonlinear systems is discussed, and implications are drawn for `practical' design situations.
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