Results 211 to 220 of about 75,217 (259)
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Proceedings of 1994 33rd IEEE Conference on Decision and Control, 2002
This paper describes a new MATLAB-based toolbox for control design via linear matrix inequality (LMI) techniques. After a brief review of LMIs and of some of their applications to control, the toolbox contents and capabilities are presented. >
P. Gahinet +3 more
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This paper describes a new MATLAB-based toolbox for control design via linear matrix inequality (LMI) techniques. After a brief review of LMIs and of some of their applications to control, the toolbox contents and capabilities are presented. >
P. Gahinet +3 more
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Strong stabilisation: an LMI approach
International Journal of Modelling, Identification and Control, 2007In this paper, the Strong Stabilisation Problem (StSP) of proper and non-minimum phase linear time-invariant systems is considered. The formulation of the problem resulted in a sufficient condition in a form of Linear Matrix Inequality (LMI) which will be solved using MATLAB LMI Toolbox.
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IFAC Proceedings Volumes, 2002
Abstract In this work, we present a Model Predictive Controller (MPC) based on Linear Matrix Inequalities (LMI's). As in the standard MPC algorithms, at each (sampling) time, a convex optimization problem is solved to compute the control law. The optimization involves constraints written as LMI's, including those normally associated to MPC problems ...
Ernesto Granado +3 more
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Abstract In this work, we present a Model Predictive Controller (MPC) based on Linear Matrix Inequalities (LMI's). As in the standard MPC algorithms, at each (sampling) time, a convex optimization problem is solved to compute the control law. The optimization involves constraints written as LMI's, including those normally associated to MPC problems ...
Ernesto Granado +3 more
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Rank-one LMIs and Lyapunov's inequality
IEEE Transactions on Automatic Control, 2001The paper proposes an alternative proof of Lyapunov's matrix inequality about the location of the eigenvalues of a matrix in some region of the complex plane. This new proof does not refer to stability of the trajectories of an associated dynamical system and does not use matrix exponentials.
Didier Henrion, Gjerrit Meinsma
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A reduction algorithm for LMIs
2007 European Control Conference (ECC), 2007In this paper, we show that under certain conditions, the feasibility set of an LMI defined by n × n matrices can be computed by considering another LMI defined by n×n matrices where n < n.
Vasfi Eldem, Kadri Özçaldıran
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2019
In this chapter, following an introduction on the fundamentals of linear matrix inequalities (LMIs), the application of LMIs to solve convex optimization problems, using numerical examples, is explained. Then, the robust optimization problems are formulated and solved via the LMI-based H∞ and mixed H2∕H∞ optimization techniques.
Mohammad Fathi, Hassan Bevrani
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In this chapter, following an introduction on the fundamentals of linear matrix inequalities (LMIs), the application of LMIs to solve convex optimization problems, using numerical examples, is explained. Then, the robust optimization problems are formulated and solved via the LMI-based H∞ and mixed H2∕H∞ optimization techniques.
Mohammad Fathi, Hassan Bevrani
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Robust LMIs with polynomial dependence on the uncertainty
2007 46th IEEE Conference on Decision and Control, 2007Solving robust linear matrix inequalities (LMIs) has long been recognized as an important problem in robust control. Although the solution to this problem is well-known for the case of affine dependence on the uncertainty, to the best of our knowledge, results for other types of dependence are limited.
F Dabbene, C Feng, C Lagoa
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2003
This chapter provides a brief introduction to charged particle optics. It is not meant to be a survey; rather, our intent is to provide enough information to uynderstand how the optical system of focused ion beam system works. We also provide a method to define the resolution of a focused ion beam system in a way that gives a metric for optimization or
Jon Orloff, Mark Utlaut, Lynwood Swanson
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This chapter provides a brief introduction to charged particle optics. It is not meant to be a survey; rather, our intent is to provide enough information to uynderstand how the optical system of focused ion beam system works. We also provide a method to define the resolution of a focused ion beam system in a way that gives a metric for optimization or
Jon Orloff, Mark Utlaut, Lynwood Swanson
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LMI tools for eventually periodic systems
Proceedings of the 2002 American Control Conference (IEEE Cat. No.CH37301), 2002zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mazen Farhood, Geir E. Dullerud
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LMI representation of the shifted Popov criterion
Automatica, 2000The paper studies a stability condition for nonlinear feedback systems, called the shifted Popov criterion. The authors derive a linear matrix inequality representation of the shifted Popov criterion, both in the Lyapunov stability context and the input-output stability context, when the linear part of the nonlinear feedback system is finite ...
Yuji Kakutani +2 more
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