Journal ArticleDOI
Networked-based stabilization via discontinuous Lyapunov functionals
Kun Liu,Emilia Fridman +1 more
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TLDR
In this paper, the authors extended the time-dependent Lyapunov functional approach to linear networked control systems, where variable sampling intervals, data packet dropouts, and variable network-induced delays are taken into account.Abstract:
SUMMARY
This paper presents a new stability and L2-gain analysis of linear Networked Control Systems (NCS). The new method is inspired by discontinuous Lyapunov functions that were introduced by Naghshtabrizitextitet al. (Syst. Control Lett. 2008; 57:378–385; Proceedings 26th American Control Conference, New York, U.S.A., July 2007) in the framework of impulsive system representation. Most of the existing works on the stability of NCS (in the framework of time delay approach) are reduced to some Lyapunov-based analysis of systems with uncertain and bounded time-varying delays. This analysis via time-independent Lyapunov functionals does not take advantage of the sawtooth evolution of the delays induced by sample-and-hold. The latter drawback was removed by Fridman (Automatica 2010; 46:421–427), where time-dependent Lyapunov functionals for sampled-data systems were introduced. This led to essentially less conservative results. The objective of the present paper is to extend the time-dependent Lyapunov functional approach to NCS, where variable sampling intervals, data packet dropouts, and variable network-induced delays are taken into account. The Lyapunov functionals in this paper depend on time and on the upper bound of the network-induced delay, and these functionals do not grow along the input update times. The new analysis is applied to the state-feedback and to a novel network-based static output-feedback H∞ control problems. Numerical examples show that the novel discontinuous terms in Lyapunov functionals essentially improve the results. Copyright © 2011 John Wiley & Sons, Ltd.read more
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Journal ArticleDOI
Survey on Recent Advances in Networked Control Systems
TL;DR: This survey provides an overview on the theoretical development of NCSs, and in-depth analysis and discussion is made on sampled-data control, networked control, and event-triggered control.
Journal ArticleDOI
An Overview and Deep Investigation on Sampled-Data-Based Event-Triggered Control and Filtering for Networked Systems
TL;DR: This paper provides an overview and makes a deep investigation on sampled-data-based event-triggered control and filtering for networked systems, finding that a sampled- Data-based Event-Triggered Scheme can ensure a positive minimum inter-event time and make it possible to jointly design suitable feedback controllers and event- triggered threshold parameters.
Journal ArticleDOI
Brief paper: Wirtinger's inequality and Lyapunov-based sampled-data stabilization
Kun Liu,Emilia Fridman +1 more
TL;DR: New discontinuous Lyapunov functionals are introduced for sampled-data control in the presence of a constant input delay based on the vector extension of Wirtinger's inequality, which leads to simplified and efficient stability conditions in terms of Linear Matrix Inequalities (LMIs).
Journal ArticleDOI
Non-fragile memory filtering of T-S fuzzy delayed neural networks based on switched fuzzy sampled-data control
TL;DR: A modified loose-looped fuzzy membership functions (FMFs) dependent Lyapunov-Krasovskii functional (LKF) is constructed based on the information of the time derivative of FMFs, which involves not only a signal transmission delay but also switched topologies.
Journal ArticleDOI
Tutorial on Lyapunov-based methods for time-delay systems $
TL;DR: In the present tutorial, introduction to Lyapunovbased methods for stability of time-delay systems is given together with some advanced results on the topic.
References
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Book
Stability of Time-Delay Systems
TL;DR: Preface, Notations 1.Introduction to Time-Delay Systems I.Robust Stability Analysis II.Input-output stability A.LMI and Quadratic Integral Inequalities Bibliography Index
Journal ArticleDOI
Stability of networked control systems
TL;DR: This work model NCSs with packet dropout and multiple-packet transmission as asynchronous dynamical systems and analyze their stability using stability regions and a hybrid systems technique, and discusses methods to compensate network-induced delay.
Journal ArticleDOI
H/sup /spl infin//-0ptimal Control and Related Minimax Design Problems: A Dynamic Game Approach
T. Basar,P. Bernhard +1 more
TL;DR: The authors believe that the H-infinity-optimal control theory is now at a stage where it can easily be incorporated into a second-level graduate course in a control curriculum, that would follow a basic course in linear control theory covering LQ and LQG designs.
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Technical Communique: Robust sampled-data stabilization of linear systems: an input delay approach
TL;DR: A new approach to robust sampled- data control is introduced, modelled as a continuous-time one, where the control input has a piecewise-continuous delay, and sufficient linear matrix inequalities conditions for sampled-data state-feedback stabilization of such systems are derived via descriptor approach to time-delay systems.