Journal ArticleDOI
All controllers for the general H ∞ control problem: LMI existence conditions and state space formulas
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The existence conditions are equivalent to Scherer's results, but with a more elementary derivation, and the set of all H∞ controllers explicitly parametrized in the state space using the positive definite solutions to the LMIs is provided.About:
This article is published in Automatica.The article was published on 1994-08-01. It has received 1253 citations till now. The article focuses on the topics: H-infinity methods in control theory & Matrix (mathematics).read more
Citations
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Journal ArticleDOI
Multiobjective output-feedback control via LMI optimization
TL;DR: An overview of a linear matrix inequality (LMI) approach to the multiobjective synthesis of linear output-feedback controllers is presented and the validity of this approach is illustrated by a realistic design example.
Journal ArticleDOI
Consensus of Multiagent Systems and Synchronization of Complex Networks: A Unified Viewpoint
TL;DR: In this article, a distributed observer-type consensus protocol based on relative output measurements is proposed to solve the consensus problem of multi-agent systems with a time-invariant communication topology consisting of general linear node dynamics.
Journal ArticleDOI
H/sub /spl infin// design with pole placement constraints: an LMI approach
M. Chilali,Pascal Gahinet +1 more
TL;DR: This paper addresses the design of state- or output-feedback H/sub /spl infin// controllers that satisfy additional constraints on the closed-loop pole location by derived in terms of linear matrix inequalities (LMIs).
Journal ArticleDOI
A cone complementarity linearization algorithm for static output-feedback and related problems
TL;DR: This paper describes a linear matrix inequality (LMI)-based algorithm for the static and reduced-order output-feedback synthesis problems of nth-order linear time-invariant (LTI) systems with n/sub u/ and n/ sub y/) independent inputs (respectively, outputs).
Proceedings ArticleDOI
The LMI control toolbox
TL;DR: This paper describes a new MATLAB-based toolbox for control design via linear matrix inequality (LMI) techniques, and its contents and capabilities are presented.
References
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Journal ArticleDOI
State-space solutions to standard H/sub 2/ and H/sub infinity / control problems
TL;DR: In this article, simple state-space formulas are derived for all controllers solving the following standard H/sub infinity / problem: for a given number gamma > 0, find all controllers such that the H/ sub infinity / norm of the closed-loop transfer function is (strictly) less than gamma.
Proceedings ArticleDOI
State-space solutions to standard H 2 and H ∞ control problems
TL;DR: In this article, simple state-space formulas are presented for a controller solving a standard H∞-problem, where the controller has the same state-dimension as the plant, its computation involves only two Riccati equations, and it has a separation structure reminiscent of classical LQG theory.
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Robust stabilization of uncertain linear systems: quadratic stabilizability and H/sup infinity / control theory
TL;DR: In this paper, the problem of robustly stabilizing a linear uncertain system is considered with emphasis on the interplay between the time-domain results on the quadratic stabilization of uncertain systems and the frequency domain results on H/sup infinity / optimization.
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Least squares stationary optimal control and the algebraic Riccati equation
TL;DR: In this paper, the optimal control of linear systems with respect to quadratic performance criteria over an infinite time interval is treated, and the integrand of the performance criterion is allowed to be fully quadratically in the control and the state without necessarily satisfying the definiteness conditions which are usually assumed in the standard regulator problem.