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Stabilizing non-linear MPC using linear parameter-varying representations
2017 IEEE 56th Annual Conference on Decision and Control (CDC), 2017We 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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Linear parameter varying controller for an induction machine
42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475), 2004Field-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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Subspace identification of multivariable linear parameter-varying systems
Automatica, 2002A 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
2011This 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, 2011This 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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An inverse system for linear parameter-varying max-plus-linear systems
Proceedings of the 41st IEEE Conference on Decision and Control, 2002., 2004The 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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Linear parameter varying approach to wind turbine control
Proceedings of 14th International Power Electronics and Motion Control Conference EPE-PEMC 2010, 2010Design of linear parameter varying control (LPV) for wind turbines is considered in this paper. Multivariable, robust control law, which can guarantee stability and desired performance in the whole operating region of the wind turbine, is obtained. LPV controller is compared with a classical controller.
Perić, Nedjeljko +2 more
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Modeling and Identification of Linear Parameter-Varying Systems
2010This 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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Stabilizability of a linear parameter-varying system
Proceedings of the 1999 American Control Conference (Cat. No. 99CH36251), 1999The 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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A Converse Lyapunov Theorem for Linear Parameter-Varying and Linear Switching Systems
SIAM Journal on Control and Optimization, 2005The 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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