Results 221 to 230 of about 21,402 (260)

A reduction algorithm for LMIs

2007 European Control Conference (ECC), 2007
In 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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LMI tools for eventually periodic systems

Proceedings of the 2002 American Control Conference (IEEE Cat. No.CH37301), 2002
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Mazen Farhood, Geir E. Dullerud
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LMI representation of the shifted Popov criterion

Automatica, 2000
The 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, Tomomichi Hagiwara, Mituhiko Araki   +2 more
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Simple LMIs for stabilization by using delays

2016 IEEE 55th Conference on Decision and Control (CDC), 2016
It is well-known that the second-order systems that cannot be stabilized by a static output feedback without a damping term, may be stabilized by inserting an artificial time-delay in the feedback. The existing Lyapunov-based methods that may treat this case and that lead to stability conditions in terms of Linear Matrix Inequalities (LMIs) suffer from
Emilia Fridman, Leonid E. Shaikhet
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An anti-windup technique for LMI regions

Automatica, 2009
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Brandon Hencey, Andrew G. Alleyne
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Maximizing the stability radius: an LMI approach

Proceedings of the 2001 American Control Conference. (Cat. No.01CH37148), 2001
Given a stabilizable linear system Ex/spl dot/ = Ax + Bu with sE - A regular, we analyze the stability robustness of the closed-loop system (E + BK) = (A + BF)x + v, obtained by proportional and derivative (PD) state feedback u = Fx Kx/spl dot/ + v. Our goal is to maximize the stability radius of the closed-loop system matrix s(E + BK) - (A + BF) over ...
Cristian Oari, Radu Stefan, Paul Van Dooren   +2 more
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The analytic center of LMI's and Riccati equations

1999 European Control Conference (ECC), 1999
In this paper we derive formulas for constructing the analytic center of the linear matrix inequality defining a positive (para-hermitian) transfer function. The Riccati equations that are usually associated with such positive transfer functions, are related to boundary points of the convex set.
Yves V. Genin, Yurii E. Nesterov, Paul Van Dooren   +2 more
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LMIs in Control Optimization

2014
Hamilton invented state space models of nonlinear dynamic systems with his generalized momenta work in the 1800s, but, at that time, the lack of computational tools prevented broad acceptance of the first order form of dynamic equations. With the rapid development of computers in the 1960s, State Space models evoked a formal control theory for ...
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Robust pole placement in LMI regions

IEEE Transactions on Automatic Control, 1999
Summary: 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.
Mahmoud Chilali, Pascal Gahinet, Pierre Apkarian   +2 more
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LMI-based Design

2005
This chapter presents an LMI-based method for design of control systems in accordance with the principle of matching and the principle of inequalities. The inputs are assumed to be persistent and/or transient. From the exponential convergence conditions of the unit impulse and the unit step responses, matrix inequalities are derived as a sufficient ...
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