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Recursive subspace identification of linear parameter-varying systems

2012 American Control Conference (ACC), 2012
In this paper, a recursive algorithm for blackbox identification of linear parameter-varying (LPV) systems is proposed. The algorithm belongs to the class of subspace identification methods and is based on an existing LPV subspace identification algorithm with block-processing, which is modified and extended to the recursive estimation scenario.
Michael Buchholz, Samuel Werner
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Stabilizability of a linear parameter-varying system

Proceedings of the 1999 American Control Conference (Cat. No. 99CH36251), 1999
The stability of a linear parameter-varying plant for missile guidance with time invariant controllers is studied. It is shown that the stabilizability of the linear parameter-varying plant is guaranteed if its parameter-frozen plants are stabilized with the same controller under a reasonable assumption.
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Linear Parameter-Varying System Identification

2011
This review volume reports the state-of-the-art in Linear Parameter Varying (LPV) system identification. Written by world renowned researchers, the book contains twelve chapters, focusing on the most recent LPV identification methods for both discrete-time and continuous-time models, using different approaches such as optimization methods for input ...
Lopes dos Santos, Paolo   +4 more
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Distributed control of linear parameter-varying decomposable systems

2013 American Control Conference, 2013
This work presents a linear parameter-varying (LPV) approach to distributed control that extends the notion of decomposable systems to decomposable LPV systems. We provide results for the synthesis of distributed output-feedback LPV controllers for heterogeneously scheduled distributed LPV systems in linear fractional (LFT) representation.
Christian Hoffmann 0002   +2 more
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Linear Parameter-Varying Control of Complex Mechanical Systems

IFAC Proceedings Volumes, 2014
In standard linear fractional representation (LFR)-based linear parameter-varying (LPV) modeling the size of the (diagonal) scheduling block depends on the number of scheduling parameters and their repetitions, which in turn influences both the complexity of synthesis conditions and the computational load during online implementation of LPV controllers.
Hoffmann, Christian, Werner, Herbert
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Set-valued methods for linear parameter varying systems

Automatica, 1999
The following linear parameter varying (LPV) system \[ x(k+1) \in F(\theta (k)) \left( x(k) u(k)\right) +B_1d(k), x(0)=x_0, \] \[ \theta (k+1)\in Q(\theta (k)), \theta (0)=\theta _0, \quad z(k)=\left( Cx(k) Du(k) \right) \] is considered where \(u\) is a control, \(d\) is a disturbance, \(z\) is a regulated output and \(F\) and \(Q\) are set-valued ...
Jeff S. Shamma, Dapeng Xiong
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A Converse Lyapunov Theorem for Linear Parameter-Varying and Linear Switching Systems

SIAM Journal on Control and Optimization, 2005
The author is interested in time varying linear systems with the structure \[ \dot x=A\bigl(\theta(t)\bigr),\quad x\in\mathbb{K}^n \] where \(\mathbb{K}=\mathbb{R}\) or \(\mathbb{C}\). Here, \(\theta(t)\) is an admissible parameter variation, meaning that \(\theta(t)\) is piecewise absolutely continuous with dwell time (i.e., length of the time ...
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Nonparametric methods for the identification of linear parameter varying systems

2008 IEEE International Conference on Computer-Aided Control Systems, 2008
In this paper, we consider the identification of linear parameter varying (LPV) systems. By taking a nonparametric approach, we do not impose a priori parameterizations on the model structure, nor is it assumed that a natural parameterization is suggested from an analytical understanding of the underlying process. In this case, it is shown that the LPV
Kenneth Hsu   +2 more
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Modeling and Identification of Linear Parameter-Varying Systems

2010
This book aims to bridge the gap between Linear Parameter-Varying (LPV) modeling and control by investigating fundamental questions of modeling and identification. It explores missing details of LPV system theory that have hindered the formulation of a well established identification framework.
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Geometric Theory and Control of Linear Parameter Varying Systems

2007 4th International Symposium on Applied Computational Intelligence and Informatics, 2007
Linear Parameter Varying (LPV) systems appear in a form of LTI state space representations where the elements of the A(rho), B(rho), C(rho) matrices depend on an unknown but at any time instant measurable vector parameter rho isin V. This paper describes a geometric view of LPV systems. Geometric concepts and tools of invariant subspaces and algorithms
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