Input–Output Stability of Networked Control Systems With Stochastic Protocols and Channels
M. Tabbara,Dragan Nesic +1 more
Reads0
Chats0
TLDR
This paper presents conditions for a general class of nonlinear NCS with exogenous disturbances using stochastic protocols in the presence of packet dropouts, random packet transmission times and collisions that are sufficient for LP stability from exogenous disturbance to NCS state with a linear finite expected gain.Abstract:
This paper introduces a new definition of stochastic protocols for networked control systems (NCS) and the stochastic analog of the notion of uniform persistency of excitation of protocols first presented in the Proceedings of the 44th IEEE Conference on Decision and Control. Our framework applies directly to common wireless and wireline NCS, including those built on carrier-sense multiple access (CSMA) style protocols, with Ethernet and 802.11a/b/g as prime examples of this class. We present conditions for a general class of nonlinear NCS with exogenous disturbances using stochastic protocols in the presence of packet dropouts, random packet transmission times and collisions that are sufficient for LP stability from exogenous disturbance to NCS state with a linear finite expected gain. Within the same framework, we extend the results of Nesic and Teel (see IEEE Trans. Autom. Control, vol. 49, no. 10, pp. 1650-1667, Oct. 2004) to provide an analysis of deterministic protocols, including try-once-discard (TOD), in the presence of random packet dropouts and intertransmission times and provide a stochastic analog of the Lyapunov-theoretic stability properties for network protocols introduced therein.read more
Citations
More filters
Journal ArticleDOI
Network-Induced Constraints in Networked Control Systems—A Survey
TL;DR: The main methodologies suggested in the literature to cope with typical network-induced constraints, namely time delays, packet losses and disorder, time-varying transmission intervals, competition of multiple nodes accessing networks, and data quantization are surveyed.
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
Event-triggered sliding mode control of stochastic systems via output feedback ☆
TL;DR: The presented event-triggered SMC methods are successfully applied to multi-loop control case considering shared communication limitation and the stochastic stability for the overall closed-loop system is analyzed.
Journal ArticleDOI
Stability analysis for stochastic hybrid systems
TL;DR: This survey addresses stability analysis for stochastic hybrid systems (SHS) by reviewing many of the stability concepts that have been studied, including Lyapunov stability, Lagrange stability, asymptotic stability, and recurrence.
Journal ArticleDOI
A Unified Framework for Design and Analysis of Networked and Quantized Control Systems
Dragan Nesic,Daniel Liberzon +1 more
TL;DR: This work generalize and unify a range of recent results in quantized control systems and networked control systems literature and provides a unified framework for controller design for control systems with quantization and time scheduling via an emulation-like approach.
References
More filters
Book
Foundations of modern probability
TL;DR: In this article, the authors discuss the relationship between Markov Processes and Ergodic properties of Markov processes and their relation with PDEs and potential theory. But their main focus is on the convergence of random processes, measures, and sets.
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.
Book
Probability and Computing: Randomized Algorithms and Probabilistic Analysis
Michael Mitzenmacher,Eli Upfal +1 more
TL;DR: Preface 1. Events and probability 2. Discrete random variables and expectation 3. Moments and deviations 4. Chernoff bounds 5. Balls, bins and random graphs 6. Probabilistic method 7. Markov chains and random walks 8. Continuous distributions and the Poisson process
Book
Calculus on Manifolds
TL;DR: The Fundamental Theorem of Calculus Integration on Manifolds as discussed by the authors is based on the Stokes Theorem on manifolds, which is also known as Stokes theorem on manifolds.
Journal ArticleDOI
Scheduling of networked control systems
G.C. Walsh,Hong Ye +1 more
TL;DR: In this article, it is demonstrated how dispensing with queues and dynamically scheduling control traffic improves closed-loop performance.