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Approximation of linear parameter-varying systems

Proceedings of 35th IEEE Conference on Decision and Control, 2002
Two well known LTI approximation methods-balanced truncation and optimal Hankel norm approximation-are extended to the LPV framework. Quadratic stability of the approximants and generalisations of known LTI error bounds are examined. The concept of the graph operator of an LPV system is discussed.
G.D. Wood, P.J. Goddard, K. Glover
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Stabilization of linear parameter varying systems

Proceedings of 32nd IEEE Conference on Decision and Control, 2002
Reviews two existing methods for stabilization: small-gain input/output methods and high-gain state space methods. The authors further investigate these methods in the context of possible conservatism and robustness properties. The authors then suggest possible alternative structures for linear parameter varying systems stabilization.
J.S. Shamma, null Dapeng Xiong
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Linear parameter varying controller for an induction machine

42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475), 2004
Field-oriented controllers for induction machines decouple control of torque and flux. Such inverse-based controllers may however show poor robust performance in presence of independent input uncertainty. To overcome this problem, the possibility to design a linear parameter varying controller based on H/sub /spl infin// theory is examined.
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Circuit Analysis of Linear Varying-Parameter Networks

Journal of Applied Physics, 1950
This paper describes a theory of linear varying-parameter networks which is essentially a generalization of the familiar frequency domain theory of fixed linear networks. Such basic concepts as impedance, admittance, gain, etc., are extended to linear varying-parameter networks and their important properties are outlined.
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Stabilizing non-linear MPC using linear parameter-varying representations

2017 IEEE 56th Annual Conference on Decision and Control (CDC), 2017
We propose a model predictive control approach for non-linear systems based on linear parameter-varying representations. The non-linear dynamics are assumed to be embedded inside an LPV representation. Hence, the non-linear MPC problem is replaced by an LPV MPC problem, which can be solved through convex optimization.
Jurre Hanema, Roland Tóth, Mircea Lazar
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Subspace identification of multivariable linear parameter-varying systems

Automatica, 2002
A subspace identification method is discussed. It deals with multivariable linear parameter-varying state-space systems with affine parameter dependence. To overcome the problem of exponential increase in the number of rows of the data matrices, a selection procedure for reducing their numbers is proposed.
Vincent Verdult, Michel Verhaegen
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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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Structured control of affine linear parameter varying systems

Proceedings of the 2011 American Control Conference, 2011
This paper presents a new procedure to design structured controllers for discrete-time affine linear parameter-varying systems (A-LPV). The class of control structures includes decentralized of any order, fixed-order output feedback, simultaneous plant-control design, among others.
Fabiano Daher Adegas, Jakob Stoustrup
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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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An inverse system for linear parameter-varying max-plus-linear systems

Proceedings of the 41st IEEE Conference on Decision and Control, 2002., 2004
The Max-Plus-Linear (MPL) system is a state-space description for a certain class of discrete-event-systems that are-linear in max-plus algebra. This paper considers an extended description of MPL systems with a linear parameter varying structure, which is called LPV-MPL systems, and proposes an inverse system of the LPV-MPL system, which calculates ...
Shiro Masuda   +3 more
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