Journal ArticleDOI
Delay-dependent LMI condition for global asymptotic stability of discrete-time uncertain state-delayed systems using quantization/overflow nonlinearities
TLDR
In this article, a delay-dependent criterion for the global asymptotic stability of a class of uncertain discrete-time state-delayed systems using various combinations of quantization and overflow nonlinearities is presented.Abstract:
A delay-dependent criterion for the global asymptotic stability of a class of uncertain discrete-time state-delayed systems using various combinations of quantization and overflow nonlinearities is presented. The proposed criterion is in the form of a linear matrix inequality and, hence, computationally tractable. A numerical example highlighting the usefulness of the proposed criterion is given. Copyright © 2010 John Wiley & Sons, Ltd.read more
Citations
More filters
Journal ArticleDOI
Sampled-data output feedback control based on a new event-triggered control scheme☆
Quan-Yong Fan,Guang-Hong Yang +1 more
TL;DR: A new event-triggered control (ETC) scheme is proposed to investigate the observer-based output feedback control problems and it is shown that the obtained lower bound of the minimum inter-event interval is not smaller than the one using the existing method.
Journal ArticleDOI
LMI-based criterion for robust stability of 2-D discrete systems with interval time-varying delays employing quantisation / overflow nonlinearities
Anurita Dey,Haranath Kar +1 more
TL;DR: A linear matrix inequality-based delay-dependent criterion for the global asymptotic stability of a class of nonlinear uncertain two-dimensional discrete systems described by the Fornasini-Marchesini second local state-space model is proposed.
Journal ArticleDOI
A New Delay-Dependent Stability Criterion for Uncertain 2-D Discrete Systems Described by Roesser Model Under the Influence of Quantization/Overflow Nonlinearities
TL;DR: This paper considers the problem of global asymptotic stability of a class of two-dimensional uncertain discrete systems described by the Roesser model under the influence of various combinations of quantization/overflow nonlinearities and interval-like time-varying delay in the state.
Journal ArticleDOI
Realizability Condition for Digital Filters With Time Delay Using Generalized Overflow Arithmetic
TL;DR: This brief investigates the input-to-state stability problem of digital filters in the presence of both external disturbance and time delay using generalized overflow arithmetic and results are shown that the proposed criterion is less conservative than some existing results.
Journal ArticleDOI
Delay-dependent Stability Criterion for Discrete-time Uncertain State-delayed Systems Employing Saturation Nonlinearities
TL;DR: In this paper, a new criterion for the global asymptotic stability of a class of uncertain discrete-time state-delayed systems employing saturation nonlinearities is presented.
References
More filters
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.
Book
Robust Control and Filtering for Time-Delay Systems
TL;DR: Robust control: robust stability robust stabilization robust H-infinity control guaranteed cost control passivity analysis and synthesis interconnected systems as discussed by the authors, robust filtering: robust Kalman filtering robust Hinfinity filtering interconnected systems.
Book
Time-Delay Systems: Analysis, Optimization and Applications
TL;DR: This paper presents a meta-modelling of Time-Delay (TD) Systems using the Generalized Riccati Method and a new approach called Nondelay Conversion Approach, which addresses the problem of suboptimal control of Nonlinear TD Systems.
Journal ArticleDOI
A survey of linear matrix inequality techniques in stability analysis of delay systems
Shengyuan Xu,James Lam +1 more
TL;DR: The purpose of this article is to survey the recent results developed to analyse the asymptotic stability of time-delay systems and give special emphases to the issues of conservatism of the results and computational complexity.
Journal ArticleDOI
Output Feedback Stabilization for a Discrete-Time System With a Time-Varying Delay
TL;DR: The free-weighting matrix approach is employed to investigate the output feedback control of a linear discrete-time system with an interval time-varying delay and a design criterion for a static output feedback (SOF) controller is derived.
Related Papers (5)
Technical communique: A delay-partitioning approach to the stability analysis of discrete-time systems
New Results on Stability of Discrete-Time Systems With Time-Varying State Delay
Huijun Gao,Tongwen Chen +1 more