Results 251 to 260 of about 79,746 (274)
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Manufacturing Systems: LMI Approach
IEEE Transactions on Automatic Control, 2006This note deals with the control of production systems that produce many part types with limited capacity. First, a simple model is used to show that the inventory control problem can be solved using modern control theory. A state feedback controller that forces the cumulative production of the system to track precisely the cumulative demand is ...
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NONCOMMUTATIVE CONVEXITY VS LMI'S
IFAC Proceedings Volumes, 2005Abstract Most linear control problems convert directly to matrix inequalities, MIs. Many of these are badly behaved but a classical core of problems convert to linear matrix inequalities (LMIs). In many engineering systems problems convexity has all of the advantages of a LMI.
J William Helton +2 more
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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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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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IEE Proceedings - Control Theory and Applications, 2004
A new method for determining a constant precompensator for reducing the effects of interactions in multivariable systems is presented. It is shown that linear matrix inequalities (LMIs) can be used in the design of precompensators to achieve diagonal dominance.
S.S. Chughtai, N. Munro
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A new method for determining a constant precompensator for reducing the effects of interactions in multivariable systems is presented. It is shown that linear matrix inequalities (LMIs) can be used in the design of precompensators to achieve diagonal dominance.
S.S. Chughtai, N. Munro
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LMI Relaxations in Robust Control
European Journal of Control, 2006zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Robust pole placement in LMI regions
IEEE Transactions on Automatic Control, 1999Summary: We discuss analysis and synthesis techniques for robust pole placement in linear matrix inequality (LMI) regions, a class of convex regions of the complex plane that embraces most practically useful stability regions. The focus is on linear systems with static uncertainty on the state matrix.
Chilali, Mahmoud +2 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.
Henrion, D., Meinsma, Gjerrit
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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.
Farhood, Mazen, Dullerud, Geir E.
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