Journal
IEEE TRANSACTIONS ON AUTOMATIC CONTROL
Volume 51, Issue 10, Pages 1668-1674Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TAC.2006.883030
Keywords
linear matrix inequality (LMI); polytopic uncertainties; robustness; switched linear systems; time-varying feedback delays
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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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