Abstract | ||
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The delay margin of a time-delay system constitutes the fundamental limit beyond which no single controller may exist to robustly stabilize an unstable delay plant for a range of delay values. For single-input single-output systems with a linear time-invariant controller, this margin is known to be finite, and bounds on the delay margin are available. This paper extends the existing results to multi-input multi-output systems. We derive upper bounds on a generalized notion called delay radius. Our results show that for a delay whose direction is orthogonal to that of an unstable pole, no limit is imposed by the pole, while if the delay direction is parallel to that of a nonminimum phase zero, its allowable range is further restricted. |
Year | DOI | Venue |
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2016 | 10.1109/RCAR.2016.7783997 | 2016 IEEE International Conference on Real-time Computing and Robotics (RCAR) |
Keywords | Field | DocType |
robust stabilizability,MIMO delay system,multiinput multioutput system,delay radius,delay margin,time-delay system,single-input single-output system,SISO system,linear time-invariant controller | Control theory,Control theory,MIMO,Radius,Mathematics | Conference |
ISBN | Citations | PageRank |
978-1-4673-8960-0 | 0 | 0.34 |
References | Authors | |
4 | 3 |