Journal ArticleDOI
Maximum bounds for robust stability of linear uncertain descriptor systems with structured perturbations
TLDR
A maximum perturbation bound for keeping a system regular, impulse-free and stable is presented, by using the technique of Kronecker product and the structured singular value μ.Abstract:
This paper considers the robust stability of descriptor systems with structured perturbations. It presents a maximum perturbation bound for keeping a system regular, impulse-free and stable, by using the technique of Kronecker product and the structured singular value μ.read more
Citations
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Journal ArticleDOI
Robust normalization and guaranteed cost control for a class of uncertain descriptor systems
Junchao Ren,Qingling Zhang +1 more
TL;DR: Attention is focused on the proportional plus derivative state feedback controller design based on the linear matrix inequality method, which guarantees the closed-loop system to be normal and quadratically stable with a prescribed upper bound of the cost function.
Journal ArticleDOI
A quasi-LMI approach to computing stabilizing parameter ranges of multi-loop PID controllers
TL;DR: In this paper, the problem of determining the parameter ranges of multi-loop PID (proportionalintegral-derivative) controllers which stabilize a given process is addressed by converting the considered problem to a quasi-LMI problem connected with robust stability test.
Journal ArticleDOI
Robust H ∞ control for descriptor systems with non-linear uncertainties
Lei Guo,Michel Malabre +1 more
TL;DR: In this paper, robust performance analysis and robust H X control for a class of descriptor systems with time-varying and non-linear uncertainties are considered, and a sufficient condition is firstly proposed to analyse the robust HX performance problem of the unforced systems.
Journal ArticleDOI
Stability analysis and controller synthesis for fuzzy descriptor systems
TL;DR: All the presented criteria are formulated in terms of linear matrix inequalities (LMIs), so the stability analysis or a stabilising fuzzy controller can be readily achieved via current LMI solvers.
Journal ArticleDOI
Admissibility and Design Issues for T-S Fuzzy Descriptor Systems With Perturbed Derivative Matrices in the Rules
TL;DR: In this paper , the authors investigated the admissibility analysis and the parallel distributed compensator (PDC) for fuzzy descriptor systems with perturbed derivative matrices in the rules, which can be used to represent a larger class of nonlinear and/or uncertain systems.
References
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Book
Singular Control Systems
TL;DR: This paper presents a meta-analyses of linear singular systems through system analysis via transfer matrix and feedback control of dynamic compensation for singular systems.
Journal ArticleDOI
A generalized state-space for singular systems
TL;DR: In this article, a generalized definition of system order that incorporates these impulsive degrees of freedom is proposed, and concepts of controllability and observability are defined for the impulsive modes.
Journal ArticleDOI
Analysis of stability robustness for generalized state-space systems with structured perturbations
Chun-Hsiung Fang,Fan-Ren Chang +1 more
TL;DR: In this article, a new approach is proposed to analyze the stability robustness of generalized state-space systems with structured perturbations, which is computationally simple to use and can easily be calculated by computer.
Journal ArticleDOI
The stability robustness of generalized eigenvalues
Li Qiu,Edward J. Davison +1 more
TL;DR: In this article, the stability radius of a matrix pair is defined to be the norm of the smallest perturbation Delta A such that (A+ Delta A, B) is unstable.
Journal ArticleDOI
On the stability radius of a generalized state-space system
Ralph Byers,Nancy Nichols +1 more
TL;DR: In this article, a suitable measure for the stability radius of a generalized state-space system is defined, and a computable expression for the distance to instability is derived for regular pencils of index less than or equal to one.
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