Journal ArticleDOI
H ∞ control for descriptor systems: a matrix inequalities approach
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TLDR
It is shown that the solvability of a set of matrix inequalities is necessary and sufficient to the existence of a proper controller that satisfies a prescribed H ∞ norm condition as well as stabilizing the closed-loop system and eliminating all impulsive modes.About:
This article is published in Automatica.The article was published on 1997-04-20. It has received 667 citations till now. The article focuses on the topics: Norm (mathematics).read more
Citations
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Journal ArticleDOI
A descriptor system approach to H/sub /spl infin// control of linear time-delay systems
Emilia Fridman,Uri Shaked +1 more
TL;DR: The output-feedback H/sub /spl infin// control problem is solved for continuous-time, linear, retarded and neutral-type systems by using a descriptor model transformation of the system and by applying P. Park's inequality (1999) for bounding cross-terms.
Journal ArticleDOI
Robust stability and stabilization for singular systems with state delay and parameter uncertainty
TL;DR: A strict linear matrix inequality (LMI) design approach is developed that solves the problems of robust stability and stabilization for uncertain continuous singular systems with state delay via the notions of generalized quadratic stability and generalizedquadratic stabilization.
Journal ArticleDOI
New approaches to H∞ controller designs based on fuzzy observers for T-S fuzzy systems via LMI
Liu Xiaodong,Zhang Qing-ling +1 more
TL;DR: It is shown that the regulators, the fuzzy observers and the H"~ controller designs based on new observers for the T-S fuzzy systems are very practical and efficient.
Journal ArticleDOI
Brief paper: Actuator fault robust estimation and fault-tolerant control for a class of nonlinear descriptor systems
Zhiwei Gao,Steven X. Ding +1 more
TL;DR: A robust state-space observer is proposed to simultaneously estimate descriptor system states, actuator faults, their finite times derivatives, and attenuate input disturbances in any desired accuracy by using the linear matrix inequality (LMI) technique.
Journal ArticleDOI
Model reduction methods based on Krylov subspaces
TL;DR: The main ideas of reduction-order modelling techniques based on Krylov subspaces are reviewed and some applications of reduced- order modelling in circuit simulation are described.
References
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Book
Linear Matrix Inequalities in System and Control Theory
TL;DR: In this paper, the authors present a brief history of LMIs in control theory and discuss some of the standard problems involved in LMIs, such as linear matrix inequalities, linear differential inequalities, and matrix problems with analytic solutions.
Journal ArticleDOI
Semidefinite programming
Lieven Vandenberghe,Stephen Boyd +1 more
TL;DR: A survey of the theory and applications of semidefinite programs and an introduction to primaldual interior-point methods for their solution are given.
Book
Interior-Point Polynomial Algorithms in Convex Programming
TL;DR: This book describes the first unified theory of polynomial-time interior-point methods, and describes several of the new algorithms described, e.g., the projective method, which have been implemented, tested on "real world" problems, and found to be extremely efficient in practice.
Journal ArticleDOI
A linear matrix inequality approach to H∞ control
Pascal Gahinet,Pierre Apkarian +1 more
TL;DR: In this paper, the continuous and discrete-time H∞ control problems are solved via elementary manipulations on linear matrix inequalities (LMI), and two interesting new features emerge through this approach: solvability conditions valid for both regular and singular problems, and an LMI-based parametrization of all H ∞-suboptimal controllers, including reduced-order controllers.