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Performance Output Tracking for an ODE Cascaded with Schrödinger Equation Subject to Disturbances.
- Source :
-
Journal of Dynamical & Control Systems . Sep2023, Vol. 29 Issue 3, p901-917. 17p. - Publication Year :
- 2023
-
Abstract
- In this paper, we are concerned with the performance output tracking for a Schrödinger PDE-ODE cascaded system with external disturbances enter in all possible channels. The main challenge of the problem is the fact that the disturbances are non-collocated to the controller. By proper trajectory planning approach, this difficulty can be overcome by converting non-collocated configurations into the collocated ones. Then a state observer is designed in terms of the tracking errors. Finally, the feedback control is proposed by applying the backstepping technique. The stability of the closed-loop system and the exponential convergence of the regulation error are proved. Some numerical simulations illustrate that the proposed approach is very effective. [ABSTRACT FROM AUTHOR]
- Subjects :
- *BACKSTEPPING control method
*CLOSED loop systems
*COMPUTER simulation
Subjects
Details
- Language :
- English
- ISSN :
- 10792724
- Volume :
- 29
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- Journal of Dynamical & Control Systems
- Publication Type :
- Academic Journal
- Accession number :
- 172311829
- Full Text :
- https://doi.org/10.1007/s10883-022-09631-z