Robust Control and Filtering for Time-Delay Systems

By Magdi Sadek Mahmoud. 2000

664 citations recorded by the source corpus.

Robust control: robust stability robust stabilization robust H-infinity control guaranteed cost control passivity analysis and synthesis interconnected systems. Robust filtering: robust Kalman filtering robust H-infinity filtering interconnected systems. Appendices: some facts from matrix theory some algebraic inequalities stability theorems positive real systems LMI control software.

Subfields: Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/60ecd3614ce5ffe8057ec0a93065b543abf745af

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In Control and Systems Engineering

Citations in the corpus

Small-Signal Stability Analysis of Large Power Systems With Inclusion of Multiple Delays (2016, neutral): “(LMI) problem [18], [19], whose computational burden, how-”
Technical Communique: A closed-form optimal control for linear systems with equal state and input delays (2005, neutral): “There also exists a considerable bibliography related to the robust control problem for time-delay systems (such as (Dugard &Verriest, 1998; Mahmoud, 2000)).”
H ∞ model reduction for discrete time-delay systems: delay-independent and dependent approaches (2004, positive): “…0 I , R ¼ 0 I 0 0 0 0 2 664 3 775 S ¼ 0 0 0 I 0 0 2 664 3 775, T ¼ 0 0 I 2 664 3 775 9>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>= >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>; ð11Þ To prove the theorem, we need the following lemma (see Kapila and Haddad 1998, Mahmoud 2000).”
Integral sliding mode design for robust filtering and control of linear stochastic time‐delay systems (2005, background): “Comprehensive reviews of theory and algorithms for time delay systems can be found in References [11–15].”
New results for the analysis of linear systems with time‐invariant delays (2003, background): “The recent books [1–3] contain an extensive collection of research results dealing with both delay-dependent and delay-independent stability conditions.”
An improved stabilization method for linear time-delay systems (2002, background): “INTRODUCTION The problem of reducing the conservatism entailed in applying finite-dimensional techniques to asses the stability of linear systems with time delay has attracted much attention in the past few years [1]–[6].”
Asymptotic state prediction for continuous-time systems with delayed input and application to control (2007, neutral): “Then derivating Vi along solutions of (17) and using similar upper bounds as in [1], we get:”
New Lyapunov-Krasovskii functionals for stability of linear retarded and neutral type systems (2001, background): “In the case of a single delay in the di6erence operator Dxt = x(t) − D1x(t − h1) assumption A1 should be changed to the following standard assumption for neutral systems ([4,11,13,15]): A1′.”