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Open AccessProceedings ArticleDOI

Control of asynchronous dynamical systems with rate constraints on events

TLDR
A Lyapunov-based theory for asynchronous dynamical systems is presented and it is shown how LyAPunov functions and controllers can be constructed for such systems by solving linear matrix inequality (LMI) and bilinear matrix equality (BMI) problems.
Abstract
We consider dynamical systems which are driven by external "events" that occur asynchronously. It is assumed that the event rates are fixed, or at least they can be bounded on any time period of length T. Such systems are becoming increasingly important in control due to the very rapid advances in digital systems, communication systems, and data networks. Examples of asynchronous systems include, control systems in which signals are transmitted over an asynchronous network, parallelized numerical algorithms, and queuing networks. We present a Lyapunov-based theory for asynchronous dynamical systems and show how Lyapunov functions and controllers can be constructed for such systems by solving linear matrix inequality (LMI) and bilinear matrix inequality (BMI) problems. Examples are also presented that demonstrate the effectiveness of the approach in analyzing practical systems.

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Citations
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Journal ArticleDOI

A Survey of Recent Results in Networked Control Systems

TL;DR: This work reviews several recent results on estimation, analysis, and controller synthesis for NCSs, and addresses channel limitations in terms of packet-rates, sampling, network delay, and packet dropouts.
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

Stability and Stabilizability of Switched Linear Systems: A Survey of Recent Results

TL;DR: This paper focuses on the stability analysis for switched linear systems under arbitrary switching, and highlights necessary and sufficient conditions for asymptotic stability.
Journal ArticleDOI

An H/sub /spl infin// approach to networked control

TL;DR: A stochastic packet-loss model for the network is used and results for discrete-time linear systems with Markovian jumping parameters can be applied to study the effect of communication losses on vehicle control.
Journal ArticleDOI

Networked control system: a brief survey

TL;DR: In this article, a survey on networked control systems (NCSs) is presented, and a simple framework and some general formulations for the study of NCSs are proposed.
References
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Book

Linear Matrix Inequalities in System and Control Theory

Edwin E. Yaz
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.
Journal ArticleDOI

System analysis via integral quadratic constraints

TL;DR: A stability theorem for systems described by IQCs is presented that covers classical passivity/dissipativity arguments but simplifies the use of multipliers and the treatment of causality.

Parallel and distributed computation

TL;DR: This book focuses on numerical algorithms suited for parallelization for solving systems of equations and optimization problems, with emphasis on relaxation methods of the Jacobi and Gauss-Seidel type.
Journal ArticleDOI

NP-Hardness of Some Linear Control Design Problems

TL;DR: It is shown that some basic linear control design problems are NP-hard, implying that, unless P=NP, they cannot be solved by polynomial time algorithms.