Stabilization of Arbitrary Switched Linear Systems With Unknown Time-Varying Delays

We consider continuous time switched systems that are stabilized via a computer. Several factors (sampling, computer computation, communications through a network, etc.) introduce model uncertainties produced by unknown varying feedback delays. These uncertainties can lead to instability when they a...

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Veröffentlicht in:IEEE transactions on automatic control 2006-10, Vol.51 (10), p.1668-1674
Hauptverfasser: Hetel, L., Daafouz, J., Iung, C.
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creator Hetel, L.
Daafouz, J.
Iung, C.
description We consider continuous time switched systems that are stabilized via a computer. Several factors (sampling, computer computation, communications through a network, etc.) introduce model uncertainties produced by unknown varying feedback delays. These uncertainties can lead to instability when they are not taken into account. Our goal is to construct a switched digital control for continuous time switched systems that is robust to the varying feedback delay problem. The main contribution of this note is to show that the control synthesis problem in the context of unknown time varying delays can be expressed as a problem of stabilizability for uncertain systems with polytopic uncertainties
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subjects Applied sciences
Automatic Control Engineering
Communication switching
Computer networks
Computer Science
Computer science
control theory
systems
Computer simulation
Control system analysis
Control system synthesis
Control systems
Control theory
Control theory. Systems
Delay
Delay effects
Digital control
Exact sciences and technology
Feedback
Linear matrix inequality (LMI)
Linear systems
Mathematical models
polytopic uncertainties
robustness
Sampling
Sampling methods
switched linear systems
Switched systems
Time varying systems
time-varying feedback delays
Uncertainty
title Stabilization of Arbitrary Switched Linear Systems With Unknown Time-Varying Delays
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