Drawing upon small gain criteria and robust analysis techniques, lower bounds on the largest allowable time-varying delay are derived with the use of rational approximation functions. These results are computationally efficient and conceptually appealing. Moreover, when specialized to specific situations, the results provide analytical expressions which exhibit explicit dependence of the bounds on the pole and zero and show how fundamentally unstable poles and nonminimum phase zeros may limit the range of delays over which a plant may be stabilized.
Robust stabilizability of linear plants with time-varying delays
2016-08-01
123373 byte
Conference paper
Electronic Resource
English
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