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Compensation of infinite-dimensional input dynamics
- Source :
-
Annual Reviews in Control . Dec2010, Vol. 34 Issue 2, p233-244. 12p. - Publication Year :
- 2010
-
Abstract
- Abstract: We present a tutorial introduction to methods for stabilization of systems with infinite-dimensional input dynamics including delays, diffusion, counter-convection and wave propagation. The methods are based on techniques originally developed for boundary control of partial differential equations. We consider multi-input linear time-invariant systems with input dynamics governed by distributed delays, and diffusion with counter-convection or wave PDEs. For the special case of single-input linear time-invariant systems with a single discrete delay we prove robustness of the control law to a small uncertainty in the delay and in the case of completely unknown delay we present an adaptive control approach. For this special case, we also present a method for compensating arbitrarily large but known time-varying delays. Finally, we consider nonlinear control problems in the presence of arbitrarily long input delays. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 13675788
- Volume :
- 34
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Annual Reviews in Control
- Publication Type :
- Academic Journal
- Accession number :
- 55392297
- Full Text :
- https://doi.org/10.1016/j.arcontrol.2010.09.002