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The Behavioral Approach to Linear Parameter-Varying Systems
IEEE Transactions on Automatic Control, 2011Linear parameter-varying (LPV) systems are usually described in either state-space or input-output form. When analyzing system equivalence between different representations it appears that the time-shifted versions of the scheduling signal (dynamic dependence) need to be taken into account.
Roland Tóth +3 more
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Linear, parameter-varying control of a supercavitating vehicle
Control Engineering Practice, 2009A systematic approach to parameter-dependent control synthesis of a high-speed supercavitation vehicle (HSSV) is presented. The aim of the control design is to provide robust reference tracking across a large flight envelope, while directly accounting for the interaction of liquid and gas phases with the vehicle.
Bálint Vanek +2 more
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Identifiability of affine linear parameter-varying models
Automatica, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Alkhoury, Ziad +2 more
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Linear parameter-varying descriptions of nonlinear systems
Proceedings of the 2004 American Control Conference, 2004Recent methods for gain scheduling controller design based on linear parameter-varying (LPV) systems offer a systematic way to obtain a nonlinear controller. However, the non-unique LPV description of the nonlinear system is essential for the performance of the design. In this paper, two approaches to obtain LPV descriptions are presented.
Fredrik Bruzelius +2 more
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Analysis of hybrid linear parameter-varying systems
Proceedings of the 2003 American Control Conference, 2003., 2004This paper proposes a new hybrid linear parameter-varying (LPV) systems and investigates some characteristics of these systems. A hybrid LPV system is defined by a ser of LPV systems and average dwell-time as a model of discrete event dynamics. This system encompasses typical LPV systems and emerging hybrid systems such as reconfigurable flight control.
Sungyung Lim, Kam Chan
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Cooperative control of linear parameter-varying systems
2012 American Control Conference (ACC), 2012The state consensus problem among groups of linear parameter-varying (LPV) systems is addressed. The systems are assumed to have an identical LPV structure. We consider both homogeneous groups, where the time-varying parameters are identical, and heterogeneous groups, where the parameters can be different for all agents.
Georg S. Seyboth +2 more
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Identification of linear parameter-varying engine models
2013 American Control Conference, 2013The real-time identification and monitoring of automotive engines has posed many challenging problems. The difficulties are mainly due to the nonlinearity of the engine dynamics due to changes in the engine operating conditions. Various recent studies have demonstrated that many of the powertrain subsystems are well approximated as linear parameter ...
Wallace E. Larimore, Hossein Javaherian
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Linear Parameter Varying control of a quadrotor
2011 6th International Conference on Industrial and Information Systems, 2011This paper describes a Linear Parameter Varying (LPV) controller design for a quadrotor vehicle. The controller synthesis requires the LPV plant model which is obtained by linearisation of the modelling equations, to be in an affine form. However, the LPV representation of the quadrotor dynamic is not affine; hence it has been transformed into to a ...
Samarathunga L. M. D. Rangajeeva +1 more
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Approximation of linear parameter-varying systems
Proceedings of 35th IEEE Conference on Decision and Control, 2002Two 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, 2002Reviews 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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