Control of asynchronous dynamical systems with rate constraints on events
Arjang Hassibi,Stephen Boyd,Jonathan P. How +2 more
- Vol. 2, pp 1345-1351
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.read more
Citations
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A Survey of Recent Results in Networked Control Systems
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Stability of networked control systems
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Stability and Stabilizability of Switched Linear Systems: A Survey of Recent Results
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An H/sub /spl infin// approach to networked control
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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
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.
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.