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Convergence characteristics of PD-type and PDDα-type iterative learning control for impulsive differential systems with unknown initial states.
- Source :
-
Journal of Vibration & Control . Aug2018, Vol. 24 Issue 16, p3726-3743. 18p. - Publication Year :
- 2018
-
Abstract
- An important issue in the area of multi-operation systems is the observation of a discontinuous trajectory. In order to track a discontinuous output trajectory, we choose impulsive differential systems to generate a series of local continuous state trajectories, which become a set of output trajectories via the action of the output functions. Concerning impulsive differential control systems, we design proportional–derivative (PD-type) and proportional plus one order derivative and fractional order derivative (PDDα-type) iterative learning control laws with initial state learning. In particular, the PDDα-type law is more flexible due to the impact of a certain fractional order factor α. Thereafter, we give the associated convergence characteristics by establishing sufficient conditions on open-loop and closed-loop iterative learning schemes in the sense of λ-norm under mild assumptions. Finally, several numerical examples, including an application to robotic fish, are given to illustrate our results. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 10775463
- Volume :
- 24
- Issue :
- 16
- Database :
- Academic Search Index
- Journal :
- Journal of Vibration & Control
- Publication Type :
- Academic Journal
- Accession number :
- 131188855
- Full Text :
- https://doi.org/10.1177/1077546317710159