Title
Robust stabilizability of MIMO delay systems: Bounds on delay radii
Abstract
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
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
Name
Order
Citations
PageRank
Tian Qi1344.10
Jing Zhu2339.33
Jie Chen3647124.78